{ "version": "2.2", "instance": { "altr-20230930.htm": { "nsprefix": "altr", "nsuri": "http://www.altair.com/20230930", "dts": { "inline": { "local": [ "altr-20230930.htm" ] }, "schema": { "local": [ "altr-20230930.xsd" ], "remote": [ "http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd", "http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd", "http://www.xbrl.org/2003/xl-2003-12-31.xsd", "http://www.xbrl.org/2003/xlink-2003-12-31.xsd", "http://www.xbrl.org/2005/xbrldt-2005.xsd", "http://www.xbrl.org/2006/ref-2006-02-27.xsd", "http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd", "http://www.xbrl.org/lrr/role/reference-2009-12-16.xsd", "https://www.xbrl.org/2020/extensible-enumerations-2.0.xsd", "https://www.xbrl.org/dtr/type/2020-01-21/types.xsd", "https://www.xbrl.org/dtr/type/2022-03-31/types.xsd", "https://xbrl.fasb.org/srt/2023/elts/srt-2023.xsd", "https://xbrl.fasb.org/srt/2023/elts/srt-roles-2023.xsd", "https://xbrl.fasb.org/srt/2023/elts/srt-types-2023.xsd", "https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd", "https://xbrl.fasb.org/us-gaap/2023/elts/us-roles-2023.xsd", "https://xbrl.fasb.org/us-gaap/2023/elts/us-types-2023.xsd", "https://xbrl.sec.gov/country/2023/country-2023.xsd", "https://xbrl.sec.gov/dei/2023/dei-2023.xsd", "https://xbrl.sec.gov/ecd/2023/ecd-2023.xsd", "https://xbrl.sec.gov/ecd/2023/ecd-sub-2023.xsd" ] }, "calculationLink": { "local": [ "altr-20230930_cal.xml" ] }, "definitionLink": { "local": [ "altr-20230930_def.xml" ] }, "labelLink": { "local": [ "altr-20230930_lab.xml" ] }, "presentationLink": { "local": [ "altr-20230930_pre.xml" ] } }, "keyStandard": 263, "keyCustom": 29, "axisStandard": 22, "axisCustom": 0, "memberStandard": 36, "memberCustom": 28, "hidden": { "total": 6, "http://fasb.org/us-gaap/2023": 2, "http://xbrl.sec.gov/dei/2023": 4 }, "contextCount": 278, "entityCount": 1, "segmentCount": 64, "elementCount": 614, "unitCount": 6, "baseTaxonomies": { "http://fasb.org/us-gaap/2023": 920, "http://xbrl.sec.gov/ecd/2023": 4, "http://xbrl.sec.gov/dei/2023": 30 }, "report": { "R1": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation", "longName": "100000 - Document - Document and Entity Information", "shortName": "Document and Entity Information", "isDefault": "true", "groupType": "document", "subGroupType": "", "menuCat": "Cover", "order": "1", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "dei:DocumentType", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "span", "p", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "dei:DocumentType", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "span", "p", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R2": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets", "longName": "100010 - Statement - Consolidated Balance Sheets", "shortName": "Consolidated Balance Sheets", "isDefault": "false", "groupType": "statement", "subGroupType": "", "menuCat": "Statements", "order": "2", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:CashAndCashEquivalentsAtCarryingValue", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:AccountsReceivableNetCurrent", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R3": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical", "longName": "100030 - Statement - Consolidated Balance Sheets (Parenthetical)", "shortName": "Consolidated Balance Sheets (Parenthetical)", "isDefault": "false", "groupType": "statement", "subGroupType": "parenthetical", "menuCat": "Statements", "order": "3", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:PreferredStockParOrStatedValuePerShare", "unitRef": "U_UnitedStatesOfAmericaDollarsShare", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:PreferredStockParOrStatedValuePerShare", "unitRef": "U_UnitedStatesOfAmericaDollarsShare", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R4": { "role": "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited", "longName": "100040 - Statement - Consolidated Statements of Operations (Unaudited)", "shortName": "Consolidated Statements of Operations (Unaudited)", "isDefault": "false", "groupType": "statement", "subGroupType": "", "menuCat": "Statements", "order": "4", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:RevenueFromContractWithCustomerExcludingAssessedTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:CostOfGoodsAndServicesSold", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R5": { "role": "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited", "longName": "100050 - Statement - Consolidated Statements of Comprehensive Income (Unaudited)", "shortName": "Consolidated Statements of Comprehensive Income (Unaudited)", "isDefault": "false", "groupType": "statement", "subGroupType": "", "menuCat": "Statements", "order": "5", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:NetIncomeLoss", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:ComprehensiveIncomeNetOfTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R6": { "role": "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnauditedParenthetical", "longName": "100060 - Statement - Consolidated Statements of Comprehensive Income (Unaudited) (Parenthetical)", "shortName": "Consolidated Statements of Comprehensive Income (Unaudited) (Parenthetical)", "isDefault": "false", "groupType": "statement", "subGroupType": "parenthetical", "menuCat": "Statements", "order": "6", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:OtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:OtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R7": { "role": "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited", "longName": "100070 - Statement - Consolidated Statements of Changes in Stockholders' Equity (Unaudited)", "shortName": "Consolidated Statements of Changes in Stockholders' Equity (Unaudited)", "isDefault": "false", "groupType": "statement", "subGroupType": "", "menuCat": "Statements", "order": "7", "firstAnchor": { "contextRef": "C_3fc16636-b61a-4610-9c42-6b7d3c2852ce", "name": "us-gaap:StockholdersEquity", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_282f6cfe-76f2-4775-b1cf-3417befcca1d", "name": "us-gaap:NetIncomeLoss", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R8": { "role": "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited", "longName": "100080 - Statement - Consolidated Statements of Cash Flows (Unaudited)", "shortName": "Consolidated Statements of Cash Flows (Unaudited)", "isDefault": "false", "groupType": "statement", "subGroupType": "", "menuCat": "Statements", "order": "8", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ProfitLoss", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ProfitLoss", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R9": { "role": "http://xbrl.sec.gov/ecd/role/PvpDisclosure", "longName": "995410 - Disclosure - Pay vs Performance Disclosure", "shortName": "Pay vs Performance Disclosure", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "9", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:NetIncomeLoss", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": null }, "R10": { "role": "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements", "longName": "995445 - Disclosure - Insider Trading Arrangements", "shortName": "Insider Trading Arrangements", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "10", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "ecd:Rule10b51ArrAdoptedFlag", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "span", "p", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "ecd:Rule10b51ArrAdoptedFlag", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "span", "p", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R11": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureOrganizationAndDescriptionOfBusiness", "longName": "995455 - Disclosure - Organization and Description of Business", "shortName": "Organization and Description of Business", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "11", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:NatureOfOperations", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:NatureOfOperations", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R12": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRecentAccountingGuidance", "longName": "995465 - Disclosure - Recent Accounting Guidance", "shortName": "Recent Accounting Guidance", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "12", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R13": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomers", "longName": "995475 - Disclosure - Revenue from Contracts with Customers", "shortName": "Revenue from Contracts with Customers", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "13", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:RevenueFromContractWithCustomerTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:RevenueFromContractWithCustomerTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R14": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformation", "longName": "995485 - Disclosure - Supplementary Information", "shortName": "Supplementary Information", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "14", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "altr:SupplementaryInformationTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "altr:SupplementaryInformationTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R15": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssets", "longName": "995505 - Disclosure - Goodwill and Other Intangible Assets", "shortName": "Goodwill and Other Intangible Assets", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "15", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:GoodwillAndIntangibleAssetsDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:GoodwillAndIntangibleAssetsDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R16": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebt", "longName": "995515 - Disclosure - Debt", "shortName": "Debt", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "16", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:DebtDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:DebtDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R17": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurements", "longName": "995525 - Disclosure - Fair Value Measurements", "shortName": "Fair Value Measurements", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "17", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:FairValueDisclosuresTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:FairValueDisclosuresTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R18": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensation", "longName": "995535 - Disclosure - Stock-Based Compensation", "shortName": "Stock-Based Compensation", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "18", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R19": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureNetIncomePerShare", "longName": "995545 - Disclosure - Net Income Per Share", "shortName": "Net Income Per Share", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "19", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:EarningsPerShareTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:EarningsPerShareTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R20": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureIncomeTaxes", "longName": "995555 - Disclosure - Income Taxes", "shortName": "Income Taxes", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "20", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:IncomeTaxDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:IncomeTaxDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R21": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLoss", "longName": "995565 - Disclosure - Accumulated Other Comprehensive Loss", "shortName": "Accumulated Other Comprehensive Loss", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "21", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ComprehensiveIncomeNoteTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ComprehensiveIncomeNoteTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R22": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingencies", "longName": "995575 - Disclosure - Commitments and Contingencies", "shortName": "Commitments and Contingencies", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "22", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:CommitmentsAndContingenciesDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:CommitmentsAndContingenciesDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R23": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformation", "longName": "995585 - Disclosure - Segment Information", "shortName": "Segment Information", "isDefault": "false", "groupType": "disclosure", "subGroupType": "", "menuCat": "Notes", "order": "23", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:SegmentReportingDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:SegmentReportingDisclosureTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R24": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureOrganizationAndDescriptionOfBusinessPolicies", "longName": "995595 - Disclosure - Organization and Description of Business (Policies)", "shortName": "Organization and Description of Business (Policies)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "policies", "menuCat": "Policies", "order": "24", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:BasisOfAccountingPolicyPolicyTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:NatureOfOperations", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:BasisOfAccountingPolicyPolicyTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:NatureOfOperations", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R25": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesTables", "longName": "995605 - Disclosure - Organization and Description of Business (Policies) (Tables)", "shortName": "Organization and Description of Business (Policies) (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "policies", "menuCat": "Tables", "order": "25", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentsTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "altr:ChangeInPresentationOfCostsPolicyTextBlock", "div", "us-gaap:NatureOfOperations", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentsTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "altr:ChangeInPresentationOfCostsPolicyTextBlock", "div", "us-gaap:NatureOfOperations", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R26": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersTables", "longName": "995615 - Disclosure - Revenue from Contracts with Customers (Tables)", "shortName": "Revenue from Contracts with Customers (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "26", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:DisaggregationOfRevenueTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:RevenueFromContractWithCustomerTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:DisaggregationOfRevenueTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:RevenueFromContractWithCustomerTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R27": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationTables", "longName": "995625 - Disclosure - Supplementary Information (Tables)", "shortName": "Supplementary Information (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "27", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfRestrictedCashAndCashEquivalentsTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "span", "p", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfRestrictedCashAndCashEquivalentsTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "span", "p", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R28": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsTables", "longName": "995645 - Disclosure - Goodwill and Other Intangible Assets (Tables)", "shortName": "Goodwill and Other Intangible Assets (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "28", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfGoodwillTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:GoodwillAndIntangibleAssetsDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfGoodwillTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:GoodwillAndIntangibleAssetsDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R29": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtTables", "longName": "995655 - Disclosure - Debt (Tables)", "shortName": "Debt (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "29", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ConvertibleDebtTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:DebtDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ConvertibleDebtTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:DebtDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R30": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables", "longName": "995665 - Disclosure - Stock-Based Compensation (Tables)", "shortName": "Stock-Based Compensation (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "30", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R31": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareTables", "longName": "995675 - Disclosure - Net (loss) income per share (Tables)", "shortName": "Net (loss) income per share (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "31", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:EarningsPerShareTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:EarningsPerShareTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R32": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureIncomeTaxesTables", "longName": "995685 - Disclosure - Income Taxes (Tables)", "shortName": "Income Taxes (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "32", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "altr:ScheduleOfIncomeTaxExpenseBenefitAndEffectiveTaxRateTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:IncomeTaxDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "altr:ScheduleOfIncomeTaxExpenseBenefitAndEffectiveTaxRateTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:IncomeTaxDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R33": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossTables", "longName": "995695 - Disclosure - Accumulated Other Comprehensive Loss (Tables)", "shortName": "Accumulated Other Comprehensive Loss (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "33", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:ComprehensiveIncomeNoteTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:ComprehensiveIncomeNoteTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R34": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationTables", "longName": "995705 - Disclosure - Segment Information (Tables)", "shortName": "Segment Information (Tables)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "tables", "menuCat": "Tables", "order": "34", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfSegmentReportingInformationBySegmentTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:SegmentReportingDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ScheduleOfSegmentReportingInformationBySegmentTextBlock", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "div", "us-gaap:SegmentReportingDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R35": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "longName": "995715 - Disclosure - Organization and Description of Business (Policies) - Schedule of Changes Made to the Consolidated Statement Of Income (Details)", "shortName": "Organization and Description of Business (Policies) - Schedule of Changes Made to the Consolidated Statement Of Income (Details)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "policies", "menuCat": "Details", "order": "35", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:ResearchAndDevelopmentExpense", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_0ff3634b-059b-4cc2-9b1d-9940dc178591", "name": "us-gaap:ResearchAndDevelopmentExpense", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentsTextBlock", "div", "altr:ChangeInPresentationOfCostsPolicyTextBlock", "div", "us-gaap:NatureOfOperations", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R36": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail", "longName": "995725 - Disclosure - Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Detail)", "shortName": "Revenue from Contracts with Customers - Schedule of Disaggregation of Revenue (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "36", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:RevenueFromContractWithCustomerExcludingAssessedTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_f05332b0-ab22-4ee6-9048-4d0c7e05569f", "name": "us-gaap:RevenueFromContractWithCustomerExcludingAssessedTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:DisaggregationOfRevenueTableTextBlock", "div", "us-gaap:RevenueFromContractWithCustomerTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R37": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail", "longName": "995735 - Disclosure - Revenue from Contracts with Customers - Additional Information (Detail)", "shortName": "Revenue from Contracts with Customers - Additional Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "37", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ContractWithCustomerLiabilityRevenueRecognized", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "us-gaap:RevenueFromContractWithCustomerTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:ContractWithCustomerLiabilityRevenueRecognized", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "us-gaap:RevenueFromContractWithCustomerTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R38": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail1", "longName": "995745 - Disclosure - Revenue from Contracts with Customers - Additional Information (Detail)1", "shortName": "Revenue from Contracts with Customers - Additional Information (Detail)1", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "38", "firstAnchor": { "contextRef": "C_0876964d-faaf-469b-8b1f-c92c2116f878", "name": "us-gaap:RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "span", "p", "us-gaap:RevenueFromContractWithCustomerTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_0876964d-faaf-469b-8b1f-c92c2116f878", "name": "us-gaap:RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1", "unitRef": null, "xsiNil": "false", "lang": "en-US", "decimals": null, "ancestors": [ "span", "p", "us-gaap:RevenueFromContractWithCustomerTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R39": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationReconciliationOfCashCashEquivalentsAndRestrictedCashDetail", "longName": "995755 - Disclosure - Supplementary Information - Reconciliation of Cash, Cash Equivalents and Restricted Cash (Detail)", "shortName": "Supplementary Information - Reconciliation of Cash, Cash Equivalents and Restricted Cash (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "39", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:CashAndCashEquivalentsAtCarryingValue", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:RestrictedCashAndCashEquivalentsNoncurrent", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "ix:continuation", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R40": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail", "longName": "995765 - Disclosure - Supplementary Information - Summary of Property and Equipment (Detail)", "shortName": "Supplementary Information - Summary of Property and Equipment (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "40", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:PropertyPlantAndEquipmentGross", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:PropertyPlantAndEquipmentTextBlock", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:PropertyPlantAndEquipmentGross", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:PropertyPlantAndEquipmentTextBlock", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R41": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail", "longName": "995775 - Disclosure - Supplementary Information - Additional Information (Detail)", "shortName": "Supplementary Information - Additional Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "41", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:Depreciation", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:Depreciation", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R42": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail", "longName": "995785 - Disclosure - Supplementary Information - Summary of Other Accrued Expenses and Current Liabilities (Detail)", "shortName": "Supplementary Information - Summary of Other Accrued Expenses and Current Liabilities (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "42", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "altr:AccruedObligationsForAcquisitionOfBusinesses", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:OtherCurrentLiabilitiesTableTextBlock", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "altr:AccruedObligationsForAcquisitionOfBusinesses", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:OtherCurrentLiabilitiesTableTextBlock", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R43": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail", "longName": "995795 - Disclosure - Supplementary Information - Summary of Other Long-term Liabilities (Detail)", "shortName": "Supplementary Information - Summary of Other Long-term Liabilities (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "43", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:DeferredIncomeTaxLiabilitiesNet", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:OtherNoncurrentLiabilitiesTableTextBlock", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:DeferredIncomeTaxLiabilitiesNet", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:OtherNoncurrentLiabilitiesTableTextBlock", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R44": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureSupplementaryInformationScheduleOfOtherIncomeExpenseNetDetail", "longName": "995805 - Disclosure - Supplementary Information - Schedule of Other (Income) Expense, Net (Detail)", "shortName": "Supplementary Information - Schedule of Other (Income) Expense, Net (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "44", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "altr:InterestIncomeAndOther", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfOtherNonoperatingIncomeExpenseTableTextBlock", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "altr:InterestIncomeAndOther", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfOtherNonoperatingIncomeExpenseTableTextBlock", "div", "altr:SupplementaryInformationTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R45": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsChangesInCarryingAmountOfGoodwillAttributableToSoftwareReportableSegmentDetail", "longName": "995815 - Disclosure - Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill Attributable to Software Reportable Segment (Detail)", "shortName": "Goodwill and Other Intangible Assets - Changes in Carrying Amount of Goodwill Attributable to Software Reportable Segment (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "45", "firstAnchor": { "contextRef": "C_4fabd069-fb23-4a1a-8b27-46a2d4fdff6e", "name": "us-gaap:Goodwill", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:GoodwillAcquiredDuringPeriod", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfGoodwillTextBlock", "div", "us-gaap:GoodwillAndIntangibleAssetsDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R46": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail", "longName": "995825 - Disclosure - Goodwill and Other Intangible Assets - Schedule of Other Intangible Assets (Detail)", "shortName": "Goodwill and Other Intangible Assets - Schedule of Other Intangible Assets (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "46", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:FiniteLivedIntangibleAssetsGross", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "altr:ScheduleOfOtherIntangibleAssetsTableTextBlock", "div", "us-gaap:GoodwillAndIntangibleAssetsDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:FiniteLivedIntangibleAssetsGross", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "altr:ScheduleOfOtherIntangibleAssetsTableTextBlock", "div", "us-gaap:GoodwillAndIntangibleAssetsDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R47": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsAdditionalInformationDetail", "longName": "995835 - Disclosure - Goodwill and Other Intangible Assets - Additional Information (Detail)", "shortName": "Goodwill and Other Intangible Assets - Additional Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "47", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:AmortizationOfIntangibleAssets", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": null }, "R48": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "longName": "995845 - Disclosure - Debt - Additional Information (Detail)", "shortName": "Debt - Additional Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "48", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:RetainedEarningsAccumulatedDeficit", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_69a40280-5497-4707-8ae7-ee57dc812c47", "name": "us-gaap:DebtInstrumentInterestRateStatedPercentage", "unitRef": "U_pure", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "us-gaap:DebtInstrumentDescription", "span", "p", "us-gaap:DebtDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R49": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "longName": "995855 - Disclosure - Debt - Schedule of Convertible Notes (Detail)", "shortName": "Debt - Schedule of Convertible Notes (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "49", "firstAnchor": { "contextRef": "C_84f4d5eb-00cc-4593-8be3-a59faddd925e", "name": "us-gaap:ConvertibleLongTermNotesPayable", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_b263ead2-0e0e-4d77-b555-544f34afa7a0", "name": "us-gaap:DeferredFinanceCostsNet", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ConvertibleDebtTableTextBlock", "div", "us-gaap:DebtDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R50": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail", "longName": "995875 - Disclosure - Debt - Schedule of Interest Expense Recognized Related to Convertible Notes (Detail)", "shortName": "Debt - Schedule of Interest Expense Recognized Related to Convertible Notes (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "50", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:AmortizationOfFinancingCostsAndDiscounts", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_5d17ab36-b105-4e01-9974-2238424cb136", "name": "us-gaap:InterestExpenseDebtExcludingAmortization", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:InterestIncomeAndInterestExpenseDisclosureTableTextBlock", "div", "us-gaap:DebtDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R51": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurementsAdditionalInformationDetail", "longName": "995895 - Disclosure - Fair Value Measurements - Additional Information (Detail)", "shortName": "Fair Value Measurements - Additional Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "51", "firstAnchor": { "contextRef": "C_90a62975-2103-41e7-85c5-1c8895d24e01", "name": "us-gaap:ConvertibleDebtFairValueDisclosures", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "us-gaap:FairValueDisclosuresTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_90a62975-2103-41e7-85c5-1c8895d24e01", "name": "us-gaap:ConvertibleDebtFairValueDisclosures", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "us-gaap:FairValueDisclosuresTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R52": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "longName": "995905 - Disclosure - Stock-based Compensation - Additional Information (Detail)", "shortName": "Stock-based Compensation - Additional Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "52", "firstAnchor": { "contextRef": "C_d2020434-4b43-40d8-8f6b-d291c32af1eb", "name": "us-gaap:EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_b96340a9-d06f-40db-8b8e-e9c5e6a4f02f", "name": "us-gaap:SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent", "unitRef": "U_pure", "xsiNil": "false", "lang": null, "decimals": "2", "ancestors": [ "span", "p", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R53": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail", "longName": "995915 - Disclosure - Stock-based Compensation - Summary of Restricted Stock Units Awarded (Detail)", "shortName": "Stock-based Compensation - Summary of Restricted Stock Units Awarded (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "53", "firstAnchor": { "contextRef": "C_d269ea9b-7617-4c8e-a218-11725c0cdc76", "name": "us-gaap:ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber", "unitRef": "U_shares", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock", "div", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_d269ea9b-7617-4c8e-a218-11725c0cdc76", "name": "us-gaap:ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber", "unitRef": "U_shares", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock", "div", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R54": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail", "longName": "995925 - Disclosure - Stock-based Compensation - Summary of Stock Option Activity under 2017 Plan (Detail)", "shortName": "Stock-based Compensation - Summary of Stock Option Activity under 2017 Plan (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "54", "firstAnchor": { "contextRef": "C_6479edaf-6186-46f5-ac06-6f72fb4116e6", "name": "us-gaap:ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber", "unitRef": "U_shares", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock", "div", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_2486f474-42a1-4d4a-8cc5-6ea943095702", "name": "us-gaap:ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross", "unitRef": "U_shares", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock", "div", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R55": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail", "longName": "995935 - Disclosure - Stock-based Compensation - Summary of Stock-Based Compensation Expense (Detail)", "shortName": "Stock-based Compensation - Summary of Stock-Based Compensation Expense (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "55", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:ShareBasedCompensation", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock", "div", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_21929549-5291-40a7-9f95-0485b2fe21a1", "name": "us-gaap:ShareBasedCompensation", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock", "div", "us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R56": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail", "longName": "995945 - Disclosure - Net (Loss) Income Per Share - Computation of Numerators and Denominators Used in Basic and Diluted Net (Loss) Income Per Share Amounts (Detail)", "shortName": "Net (Loss) Income Per Share - Computation of Numerators and Denominators Used in Basic and Diluted Net (Loss) Income Per Share Amounts (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "56", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:NetIncomeLoss", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:InterestOnConvertibleDebtNetOfTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock", "div", "us-gaap:EarningsPerShareTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R57": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareScheduleOfAntidilutiveSharesExcludedFromComputationOfDilutedNetLossPerShareDetail", "longName": "995955 - Disclosure - Net (loss) income per share - Schedule of Anti-dilutive Shares Excluded from Computation of Diluted Net Loss Per Share (Detail)", "shortName": "Net (loss) income per share - Schedule of Anti-dilutive Shares Excluded from Computation of Diluted Net Loss Per Share (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "57", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount", "unitRef": "U_shares", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock", "div", "us-gaap:EarningsPerShareTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount", "unitRef": "U_shares", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock", "div", "us-gaap:EarningsPerShareTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R58": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureIncomeTaxesScheduleOfIncomeTaxExpenseAndEffectiveTaxRateDetail", "longName": "995965 - Disclosure - Income Taxes - Schedule of Income Tax Expense and Effective Tax Rate (Detail)", "shortName": "Income Taxes - Schedule of Income Tax Expense and Effective Tax Rate (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "58", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:IncomeTaxExpenseBenefit", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:EffectiveIncomeTaxRateContinuingOperations", "unitRef": "U_pure", "xsiNil": "false", "lang": null, "decimals": "2", "ancestors": [ "span", "p", "td", "tr", "table", "altr:ScheduleOfIncomeTaxExpenseBenefitAndEffectiveTaxRateTableTextBlock", "div", "us-gaap:IncomeTaxDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R59": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureIncomeTaxesAdditionalInformationDetail", "longName": "995975 - Disclosure - Income Taxes - Additional Information (Detail)", "shortName": "Income Taxes - Additional Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "59", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "altr:EffectiveIncomeTaxRateReconciliationReconcilingItemsDiscreteBenefitsAmount", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "us-gaap:IncomeTaxDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "altr:EffectiveIncomeTaxRateReconciliationReconcilingItemsDiscreteBenefitsAmount", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "p", "us-gaap:IncomeTaxDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R60": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail", "longName": "995985 - Disclosure - Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss (Detail)", "shortName": "Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "60", "firstAnchor": { "contextRef": "C_8b83b6a3-b156-4294-9bc4-95cb9f309e5b", "name": "us-gaap:StockholdersEquity", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_5e10239a-2b8a-4234-915c-2fe06cbd3606", "name": "us-gaap:StockholdersEquity", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock", "div", "us-gaap:ComprehensiveIncomeNoteTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R61": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationAdditionalInformationDetail", "longName": "996005 - Disclosure - Segment Information - Additional Information (Detail)", "shortName": "Segment Information - Additional Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "61", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:NumberOfReportableSegments", "unitRef": "U_Segment", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "p", "us-gaap:SegmentReportingDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true }, "uniqueAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "us-gaap:NumberOfReportableSegments", "unitRef": "U_Segment", "xsiNil": "false", "lang": null, "decimals": "INF", "ancestors": [ "span", "p", "us-gaap:SegmentReportingDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true, "unique": true } }, "R62": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail", "longName": "996015 - Disclosure - Segment Information - Schedule of Segment Reporting Information (Detail)", "shortName": "Segment Information - Schedule of Segment Reporting Information (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "62", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:RevenueFromContractWithCustomerExcludingAssessedTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_2b9da513-458f-491f-aad5-9e719812556f", "name": "us-gaap:RevenueFromContractWithCustomerExcludingAssessedTax", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfSegmentReportingInformationBySegmentTextBlock", "div", "us-gaap:SegmentReportingDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R63": { "role": "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail", "longName": "996025 - Disclosure - Segment Information - Reconciliation of U.S. GAAP Loss Before Income Taxes to Adjusted EBITDA (Detail)", "shortName": "Segment Information - Reconciliation of U.S. GAAP Loss Before Income Taxes to Adjusted EBITDA (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "details", "menuCat": "Details", "order": "63", "firstAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "altr:AdjustedEarningsBeforeInterestTaxesDepreciationAndAmortization", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ScheduleOfSegmentReportingInformationBySegmentTextBlock", "div", "us-gaap:SegmentReportingDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:DepreciationDepletionAndAmortization", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "us-gaap:ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock", "div", "us-gaap:SegmentReportingDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } }, "R64": { "role": "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail", "longName": "996035 - Disclosure - Segment Information - Reconciliation of U.S. GAAP Income (Loss) Before Income Taxes to Adjusted EBITDA (Parenthetical) (Detail)", "shortName": "Segment Information - Reconciliation of U.S. GAAP Income (Loss) Before Income Taxes to Adjusted EBITDA (Parenthetical) (Detail)", "isDefault": "false", "groupType": "disclosure", "subGroupType": "parenthetical", "menuCat": "Details", "order": "64", "firstAnchor": { "contextRef": "C_c673b48b-686b-4b28-a0d5-24286e61a871", "name": "altr:LossOnMarkToMarketAdjustmentOfContingentConsideration", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-3", "ancestors": [ "span", "p", "td", "tr", "table", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "first": true }, "uniqueAnchor": { "contextRef": "C_fd9d4495-5d2b-4c89-ba8f-85bd0cea68b8", "name": "us-gaap:InterestAndOtherIncome", "unitRef": "U_USD", "xsiNil": "false", "lang": null, "decimals": "-5", "ancestors": [ "span", "link:footnote", "div", "div", "us-gaap:ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock", "div", "us-gaap:SegmentReportingDisclosureTextBlock", "div", "body", "html" ], "reportCount": 1, "baseRef": "altr-20230930.htm", "unique": true } } }, "tag": { "ecd_TabularListTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TabularListTableTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Tabular List [Table Text Block]", "terseLabel": "Tabular List, Table" } } }, "auth_ref": [ "r832" ] }, "ecd_RestatementDateAxis": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "RestatementDateAxis", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Restatement Determination Date [Axis]", "terseLabel": "Restatement Determination Date:" } } }, "auth_ref": [ "r789", "r800", "r810", "r835" ] }, "us-gaap_TradeNamesMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "TradeNamesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Trade Names [Member]", "label": "Trade Names [Member]", "documentation": "Rights acquired through registration of a business name to gain or protect exclusive use thereof." } } }, "auth_ref": [ "r93" ] }, "us-gaap_ScheduleOfShortTermDebtTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfShortTermDebtTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "label": "Schedule of Short-Term Debt [Table]", "documentation": "A table or schedule providing information pertaining to borrowings under which repayment was required in less than twelve months (or normal operating cycle, if longer) after its issuance. It may include: (1) description of the short-term debt arrangement; (2) identification of the lender or type of lender; (3) repayment terms; (4) weighted average interest rate; (5) carrying amount of funds borrowed under the specified short-term debt arrangement as of the balance sheet date and measures of the maximum and average amount outstanding during the period; (6) description of the refinancing of a short-term obligation when that obligation is excluded from current liabilities in the balance sheet; and (7) amount of a short-term obligation that has been excluded from current liabilities in the balance sheet because of a refinancing of the obligation." } } }, "auth_ref": [ "r25" ] }, "ecd_ExecutiveCategoryAxis": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ExecutiveCategoryAxis", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Executive Category [Axis]", "terseLabel": "Executive Category:" } } }, "auth_ref": [ "r833" ] }, "ecd_TrdArrTerminationDate": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TrdArrTerminationDate", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Trading Arrangement Termination Date", "terseLabel": "Termination Date" } } }, "auth_ref": [ "r854" ] }, "us-gaap_DebtInstrumentMaturityDate": { "xbrltype": "dateItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentMaturityDate", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument maturity date", "label": "Debt Instrument, Maturity Date", "documentation": "Date when the debt instrument is scheduled to be fully repaid, in YYYY-MM-DD format." } } }, "auth_ref": [ "r189", "r750", "r951" ] }, "us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Aggregate intrinsic value, Exercisable", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Intrinsic Value", "documentation": "Amount of difference between fair value of the underlying shares reserved for issuance and exercise price of vested portions of options outstanding and currently exercisable." } } }, "auth_ref": [ "r83" ] }, "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_NetIncomeLoss", "weight": 1.0, "order": 0.0 }, "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "label": "Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest", "totalLabel": "Loss before income taxes", "documentation": "Amount of income (loss) from continuing operations, including income (loss) from equity method investments, before deduction of income tax expense (benefit), and income (loss) attributable to noncontrolling interest." } } }, "auth_ref": [ "r0", "r129", "r171", "r287", "r301", "r307", "r310", "r599", "r612", "r747" ] }, "us-gaap_LeaseholdImprovementsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LeaseholdImprovementsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Leasehold Improvements [Member]", "label": "Leasehold Improvements [Member]", "documentation": "Additions or improvements to assets held under a lease arrangement." } } }, "auth_ref": [ "r148" ] }, "ecd_TrdArrDuration": { "xbrltype": "durationItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TrdArrDuration", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Trading Arrangement Duration", "terseLabel": "Arrangement Duration" } } }, "auth_ref": [ "r855" ] }, "us-gaap_Liabilities": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "Liabilities", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesAndStockholdersEquity", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "TOTAL LIABILITIES", "label": "Liabilities", "documentation": "Sum of the carrying amounts as of the balance sheet date of all liabilities that are recognized. Liabilities are probable future sacrifices of economic benefits arising from present obligations of an entity to transfer assets or provide services to other entities in the future." } } }, "auth_ref": [ "r26", "r237", "r320", "r367", "r368", "r369", "r370", "r371", "r372", "r373", "r374", "r375", "r502", "r505", "r506", "r539", "r679", "r746", "r782", "r916", "r957", "r958" ] }, "ecd_TrdArrAdoptionDate": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TrdArrAdoptionDate", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Trading Arrangement Adoption Date", "terseLabel": "Adoption Date" } } }, "auth_ref": [ "r854" ] }, "us-gaap_PrepaidExpenseAndOtherAssetsCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PrepaidExpenseAndOtherAssetsCurrent", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_AssetsCurrent", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Prepaid expenses and other current assets", "label": "Prepaid Expense and Other Assets, Current", "documentation": "Amount of asset related to consideration paid in advance for costs that provide economic benefits in future periods, and amount of other assets that are expected to be realized or consumed within one year or the normal operating cycle, if longer." } } }, "auth_ref": [ "r876" ] }, "us-gaap_ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfShareBasedCompensationRestrictedStockUnitsAwardActivityTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Summary of Restricted Stock Units Awarded", "label": "Share-Based Payment Arrangement, Restricted Stock Unit, Activity [Table Text Block]", "documentation": "Tabular disclosure of the number and weighted-average grant date fair value for restricted stock units that were outstanding at the beginning and end of the year, and the number of restricted stock units that were granted, vested, or forfeited during the year." } } }, "auth_ref": [ "r84" ] }, "us-gaap_CommonClassAMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonClassAMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Class A Common Stock [Member]", "label": "Common Class A [Member]", "documentation": "Classification of common stock representing ownership interest in a corporation." } } }, "auth_ref": [ "r971" ] }, "us-gaap_TemporaryEquityRedemptionPricePerShare": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "TemporaryEquityRedemptionPricePerShare", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Put right, exercise price", "label": "Temporary Equity, Redemption Price Per Share", "documentation": "Amount to be paid per share that is classified as temporary equity by entity upon redemption. Temporary equity is a security with redemption features that are outside the control of the issuer, is not classified as an asset or liability in conformity with GAAP, and is not mandatorily redeemable. Includes any type of security that is redeemable at a fixed or determinable price or on a fixed or determinable date or dates, is redeemable at the option of the holder, or has conditions for redemption which are not solely within the control of the issuer. If convertible, the issuer does not control the actions or events necessary to issue the maximum number of shares that could be required to be delivered under the conversion option if the holder exercises the option to convert the stock to another class of equity. If the security is a warrant or a rights issue, the warrant or rights issue is considered to be temporary equity if the issuer cannot demonstrate that it would be able to deliver upon the exercise of the option by the holder in all cases. Includes stock with put option held by ESOP and stock redeemable by holder only in the event of a change in control of the issuer." } } }, "auth_ref": [ "r21", "r78" ] }, "us-gaap_ClassOfStockDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ClassOfStockDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Class of Stock", "label": "Class of Stock [Domain]", "documentation": "Share of stock differentiated by the voting rights the holder receives. Examples include, but are not limited to, common stock, redeemable preferred stock, nonredeemable preferred stock, and convertible stock." } } }, "auth_ref": [ "r193", "r211", "r212", "r213", "r237", "r266", "r270", "r273", "r275", "r281", "r282", "r320", "r367", "r369", "r370", "r371", "r374", "r375", "r404", "r405", "r406", "r407", "r408", "r539", "r652", "r653", "r654", "r655", "r659", "r660", "r661", "r662", "r663", "r664", "r665", "r666", "r667", "r668", "r669", "r670", "r681", "r702", "r722", "r733", "r734", "r735", "r736", "r737", "r859", "r884", "r891" ] }, "ecd_TrdArrSecuritiesAggAvailAmt": { "xbrltype": "sharesItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TrdArrSecuritiesAggAvailAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Trading Arrangement, Securities Aggregate Available Amount", "terseLabel": "Aggregate Available" } } }, "auth_ref": [ "r856" ] }, "us-gaap_ResearchAndDevelopmentExpenseMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ResearchAndDevelopmentExpenseMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Research and development [Member]", "label": "Research and Development Expense [Member]", "documentation": "Primary financial statement caption in which the reported facts about research and development expense have been included." } } }, "auth_ref": [] }, "us-gaap_NumberOfReportableSegments": { "xbrltype": "integerItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NumberOfReportableSegments", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Number of reportable segments", "label": "Number of Reportable Segments", "documentation": "Number of segments reported by the entity. A reportable segment is a component of an entity for which there is an accounting requirement to report separate financial information on that component in the entity's financial statements." } } }, "auth_ref": [ "r893" ] }, "us-gaap_DebtInstrumentNameDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentNameDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurementsAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt Instrument, Name", "label": "Debt Instrument, Name [Domain]", "documentation": "The name for the particular debt instrument or borrowing that distinguishes it from other debt instruments or borrowings, including draws against credit facilities." } } }, "auth_ref": [ "r31", "r239", "r377", "r378", "r379", "r380", "r381", "r383", "r388", "r389", "r390", "r391", "r393", "r394", "r395", "r396", "r397", "r398", "r567", "r750", "r751", "r752", "r753", "r754", "r885" ] }, "us-gaap_AdjustmentsForNewAccountingPronouncementsAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AdjustmentsForNewAccountingPronouncementsAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accounting Standards Update", "label": "Accounting Standards Update [Axis]", "documentation": "Information by amendment to accounting standards." } } }, "auth_ref": [ "r194", "r195", "r196", "r197", "r198", "r246", "r247", "r248", "r250", "r261", "r318", "r319", "r322", "r323", "r324", "r325", "r328", "r329", "r330", "r331", "r332", "r333", "r353", "r465", "r466", "r467", "r479", "r480", "r481", "r482", "r495", "r496", "r497", "r508", "r509", "r510", "r511", "r512", "r513", "r514", "r515", "r516", "r518", "r519", "r520", "r521", "r522", "r523", "r524", "r525", "r526", "r528", "r529", "r530", "r531", "r532", "r537", "r538", "r541", "r542", "r543", "r544", "r563", "r564", "r568", "r569", "r570", "r571", "r576", "r577", "r578", "r579", "r580", "r588", "r589", "r590", "r637", "r638", "r639", "r640", "r641", "r642", "r643", "r644", "r645", "r646", "r647", "r648" ] }, "ecd_InsiderTradingPoliciesProcLineItems": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "InsiderTradingPoliciesProcLineItems", "lang": { "en-us": { "role": { "label": "Insider Trading Policies and Procedures [Line Items]", "terseLabel": "Insider Trading Policies and Procedures:" } } }, "auth_ref": [ "r787", "r857" ] }, "us-gaap_SupplementalCashFlowElementsAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SupplementalCashFlowElementsAbstract", "lang": { "en-us": { "role": { "label": "Supplemental Cash Flow Elements [Abstract]" } } }, "auth_ref": [] }, "us-gaap_PaymentsToAcquirePropertyPlantAndEquipment": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PaymentsToAcquirePropertyPlantAndEquipment", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInInvestingActivities", "weight": -1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Payments to Acquire Property, Plant, and Equipment, Total", "negatedLabel": "Capital expenditures", "label": "Payments to Acquire Property, Plant, and Equipment", "documentation": "The cash outflow associated with the acquisition of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale; includes cash outflows to pay for construction of self-constructed assets." } } }, "auth_ref": [ "r138" ] }, "ecd_NonPeoNeoAvgTotalCompAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "NonPeoNeoAvgTotalCompAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Non-PEO NEO Average Total Compensation Amount", "terseLabel": "Non-PEO NEO Average Total Compensation Amount" } } }, "auth_ref": [ "r822" ] }, "us-gaap_LiabilitiesAndStockholdersEquity": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LiabilitiesAndStockholdersEquity", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "TOTAL LIABILITIES AND STOCKHOLDERS' EQUITY", "label": "Liabilities and Equity", "documentation": "Amount of liabilities and equity items, including the portion of equity attributable to noncontrolling interests, if any." } } }, "auth_ref": [ "r126", "r170", "r609", "r769", "r886", "r894", "r952" ] }, "us-gaap_UseOfEstimates": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "UseOfEstimates", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureOrganizationAndDescriptionOfBusinessPolicies" ], "lang": { "en-us": { "role": { "terseLabel": "Use of Estimates", "label": "Use of Estimates, Policy [Policy Text Block]", "documentation": "Disclosure of accounting policy for the use of estimates in the preparation of financial statements in conformity with generally accepted accounting principles." } } }, "auth_ref": [ "r57", "r58", "r59", "r177", "r178", "r179", "r180" ] }, "us-gaap_OtherNoncurrentAssetsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherNoncurrentAssetsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Other Long-Term Assets [Member]", "label": "Other Noncurrent Assets [Member]", "documentation": "Primary financial statement caption encompassing other noncurrent assets." } } }, "auth_ref": [] }, "us-gaap_LiabilitiesAndStockholdersEquityAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LiabilitiesAndStockholdersEquityAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "LIABILITIES, MEZZANINE EQUITY AND STOCKHOLDERS\u2019 EQUITY", "label": "Liabilities and Equity [Abstract]" } } }, "auth_ref": [] }, "us-gaap_OtherOperatingIncomeExpenseNet": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherOperatingIncomeExpenseNet", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_OperatingExpenses", "weight": -1.0, "order": 4.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "negatedLabel": "Other operating (income) expense, net", "terseLabel": "Other operating expense (income), net", "label": "Other Operating Income (Expense), Net", "documentation": "The net amount of other operating income and expenses, the components of which are not separately disclosed on the income statement, from items that are associated with the entity's normal revenue producing operations." } } }, "auth_ref": [] }, "us-gaap_InterestExpense": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "InterestExpense", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "weight": -1.0, "order": 1.0 }, "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail": { "parentTag": "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "weight": -1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Interest Expense, Total", "negatedLabel": "Interest expense", "terseLabel": "Interest expense", "label": "Interest Expense", "documentation": "Amount of the cost of borrowed funds accounted for as interest expense." } } }, "auth_ref": [ "r107", "r173", "r224", "r291", "r565", "r706", "r780", "r970" ] }, "us-gaap_OperatingLeaseRightOfUseAsset": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OperatingLeaseRightOfUseAsset", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Assets", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Operating lease right of use assets", "label": "Operating Lease, Right-of-Use Asset", "documentation": "Amount of lessee's right to use underlying asset under operating lease." } } }, "auth_ref": [ "r574" ] }, "us-gaap_StockIssuedDuringPeriodValueEmployeeStockPurchasePlan": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockIssuedDuringPeriodValueEmployeeStockPurchasePlan", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Issuance of common stock for employee stock purchase program", "label": "Stock Issued During Period, Value, Employee Stock Purchase Plan", "documentation": "Aggregate change in value for stock issued during the period as a result of employee stock purchase plan." } } }, "auth_ref": [ "r14", "r120", "r121", "r155" ] }, "ecd_InsiderTrdPoliciesProcAdoptedFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "InsiderTrdPoliciesProcAdoptedFlag", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingPoliciesProc" ], "lang": { "en-us": { "role": { "label": "Insider Trading Policies and Procedures Adopted [Flag]", "terseLabel": "Insider Trading Policies and Procedures Adopted" } } }, "auth_ref": [ "r787", "r857" ] }, "us-gaap_ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfShareBasedCompensationStockOptionsActivityTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Summary of Stock Option Activity", "label": "Share-Based Payment Arrangement, Option, Activity [Table Text Block]", "documentation": "Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value." } } }, "auth_ref": [ "r15", "r16", "r84" ] }, "us-gaap_BasisOfAccountingPolicyPolicyTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BasisOfAccountingPolicyPolicyTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureOrganizationAndDescriptionOfBusinessPolicies" ], "lang": { "en-us": { "role": { "terseLabel": "Basis of Presentation", "label": "Basis of Accounting, Policy [Policy Text Block]", "documentation": "Disclosure of accounting policy for basis of accounting, or basis of presentation, used to prepare the financial statements (for example, US Generally Accepted Accounting Principles, Other Comprehensive Basis of Accounting, IFRS)." } } }, "auth_ref": [] }, "ecd_AllExecutiveCategoriesMember": { "xbrltype": "domainItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AllExecutiveCategoriesMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "All Executive Categories [Member]", "terseLabel": "All Executive Categories" } } }, "auth_ref": [ "r833" ] }, "ecd_InsiderTrdPoliciesProcNotAdoptedTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "InsiderTrdPoliciesProcNotAdoptedTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingPoliciesProc" ], "lang": { "en-us": { "role": { "label": "Insider Trading Policies and Procedures Not Adopted [Text Block]", "terseLabel": "Insider Trading Policies and Procedures Not Adopted" } } }, "auth_ref": [ "r787", "r857" ] }, "us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardGross": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockIssuedDuringPeriodValueRestrictedStockAwardGross", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Vesting of restricted stock", "label": "Stock Issued During Period, Value, Restricted Stock Award, Gross", "documentation": "Aggregate value of stock related to Restricted Stock Awards issued during the period." } } }, "auth_ref": [ "r14", "r120", "r121", "r155" ] }, "us-gaap_IntangibleAssetsNetExcludingGoodwill": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IntangibleAssetsNetExcludingGoodwill", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Assets", "weight": 1.0, "order": 4.0 }, "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Net carrying amount", "terseLabel": "Other intangible assets, net", "label": "Intangible Assets, Net (Excluding Goodwill)", "documentation": "Sum of the carrying amounts of all intangible assets, excluding goodwill, as of the balance sheet date, net of accumulated amortization and impairment charges." } } }, "auth_ref": [ "r66", "r70" ] }, "dei_EntityTaxIdentificationNumber": { "xbrltype": "employerIdItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityTaxIdentificationNumber", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Tax Identification Number", "label": "Entity Tax Identification Number", "documentation": "The Tax Identification Number (TIN), also known as an Employer Identification Number (EIN), is a unique 9-digit value assigned by the IRS." } } }, "auth_ref": [ "r784" ] }, "us-gaap_OptionIndexedToIssuersEquityTypeDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OptionIndexedToIssuersEquityTypeDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Option Indexed to Issuer's Equity, Type [Domain]", "documentation": "Description of the type of freestanding contract issued by a Company that is indexed to, and potentially settled in, a Company's own stock. Specifically, the pertinent rights and privileges of the securities outstanding." } } }, "auth_ref": [] }, "ecd_Additional402vDisclosureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "Additional402vDisclosureTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Additional 402(v) Disclosure [Text Block]", "terseLabel": "Additional 402(v) Disclosure" } } }, "auth_ref": [ "r820" ] }, "ecd_PeoMember": { "xbrltype": "domainItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PeoMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "PEO [Member]", "terseLabel": "PEO" } } }, "auth_ref": [ "r833" ] }, "us-gaap_StockIssuedDuringPeriodValueAcquisitions": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockIssuedDuringPeriodValueAcquisitions", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "label": "Stock Issued During Period, Value, Acquisitions", "terseLabel": "Issuance of common stock for acquisitions", "documentation": "Value of stock issued pursuant to acquisitions during the period." } } }, "auth_ref": [ "r14", "r35", "r155" ] }, "us-gaap_InterestExpenseDebt": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "InterestExpenseDebt", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Total", "label": "Interest Expense, Debt", "documentation": "Amount of the cost of borrowed funds accounted for as interest expense for debt." } } }, "auth_ref": [ "r136", "r396", "r403", "r753", "r754" ] }, "us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockIssuedDuringPeriodValueStockOptionsExercised", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Exercise of stock options", "label": "Stock Issued During Period, Value, Stock Options Exercised", "documentation": "Value of stock issued as a result of the exercise of stock options." } } }, "auth_ref": [ "r14", "r35", "r155" ] }, "us-gaap_SignificantAccountingPoliciesTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SignificantAccountingPoliciesTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureOrganizationAndDescriptionOfBusinessPolicies" ], "lang": { "en-us": { "role": { "terseLabel": "Significant Accounting Policies", "label": "Significant Accounting Policies [Text Block]", "documentation": "The entire disclosure for all significant accounting policies of the reporting entity." } } }, "auth_ref": [ "r142", "r235" ] }, "ecd_NonPeoNeoMember": { "xbrltype": "domainItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "NonPeoNeoMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Non-PEO NEO [Member]", "terseLabel": "Non-PEO NEO" } } }, "auth_ref": [ "r833" ] }, "us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PrepaidExpensesAndOtherCurrentAssetsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Prepaid and Other Current Assets [Member]", "label": "Prepaid Expenses and Other Current Assets [Member]", "documentation": "Primary financial statement caption encompassing prepaid expenses and other current assets." } } }, "auth_ref": [] }, "us-gaap_AccountingChangesAndErrorCorrectionsAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccountingChangesAndErrorCorrectionsAbstract", "lang": { "en-us": { "role": { "label": "Accounting Changes and Error Corrections [Abstract]" } } }, "auth_ref": [] }, "us-gaap_DebtInstrumentLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt Instrument [Line Items]", "label": "Debt Instrument [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [ "r239", "r377", "r378", "r379", "r380", "r381", "r383", "r388", "r389", "r390", "r391", "r393", "r394", "r395", "r396", "r397", "r398", "r401", "r567", "r750", "r751", "r752", "r753", "r754", "r885" ] }, "ecd_IndividualAxis": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "IndividualAxis", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure", "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure", "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements", "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Individual [Axis]", "terseLabel": "Individual:" } } }, "auth_ref": [ "r798", "r806", "r816", "r833", "r841", "r845", "r853" ] }, "us-gaap_DebtInstrumentAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurementsAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt Instrument", "label": "Debt Instrument [Axis]", "documentation": "Information by type of debt instrument, including, but not limited to, draws against credit facilities." } } }, "auth_ref": [ "r22", "r116", "r117", "r166", "r169", "r239", "r377", "r378", "r379", "r380", "r381", "r383", "r388", "r389", "r390", "r391", "r393", "r394", "r395", "r396", "r397", "r398", "r567", "r750", "r751", "r752", "r753", "r754", "r885" ] }, "us-gaap_FiniteLivedIntangibleAssetsNet": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FiniteLivedIntangibleAssetsNet", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "periodEndLabel": "Finite-Lived Intangible Assets, Net, Ending Balance", "periodStartLabel": "Finite-Lived Intangible Assets, Net, Beginning Balance", "totalLabel": "Net carrying amount", "label": "Finite-Lived Intangible Assets, Net", "documentation": "Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life." } } }, "auth_ref": [ "r146", "r587" ] }, "ecd_AllIndividualsMember": { "xbrltype": "domainItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AllIndividualsMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure", "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure", "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements", "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "All Individuals [Member]", "terseLabel": "All Individuals" } } }, "auth_ref": [ "r798", "r806", "r816", "r833", "r841", "r845", "r853" ] }, "us-gaap_ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfAccumulatedOtherComprehensiveIncomeLossTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossTables" ], "lang": { "en-us": { "role": { "terseLabel": "Components of Accumulated Other Comprehensive Loss", "label": "Schedule of Accumulated Other Comprehensive Income (Loss) [Table Text Block]", "documentation": "Tabular disclosure of the components of accumulated other comprehensive income (loss)." } } }, "auth_ref": [ "r37", "r953", "r954" ] }, "srt_ScenarioPreviouslyReportedMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "ScenarioPreviouslyReportedMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails" ], "lang": { "en-us": { "role": { "terseLabel": "Previously Reported [Member]", "label": "Previously Reported [Member]" } } }, "auth_ref": [ "r197", "r240", "r242", "r246", "r247", "r251", "r252", "r260", "r279", "r482", "r524", "r529", "r530", "r571", "r639", "r640", "r641", "r642", "r643", "r644", "r645", "r646", "r647", "r648", "r650", "r869", "r871", "r872", "r873", "r890", "r895", "r896", "r950", "r955", "r956" ] }, "us-gaap_DebtInstrumentTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt Instrument [Table]", "label": "Schedule of Long-Term Debt Instruments [Table]", "documentation": "A table or schedule providing information pertaining to long-term debt instruments or arrangements, including identification, terms, features, collateral requirements and other information necessary to a fair presentation. These are debt arrangements that originally required repayment more than twelve months after issuance or greater than the normal operating cycle of the company, if longer." } } }, "auth_ref": [ "r31", "r79", "r80", "r105", "r106", "r108", "r112", "r153", "r154", "r239", "r377", "r378", "r379", "r380", "r381", "r383", "r388", "r389", "r390", "r391", "r393", "r394", "r395", "r396", "r397", "r398", "r401", "r567", "r750", "r751", "r752", "r753", "r754", "r885" ] }, "us-gaap_FiniteLivedIntangibleAssetsGross": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FiniteLivedIntangibleAssetsGross", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail": { "parentTag": "us-gaap_FiniteLivedIntangibleAssetsNet", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Finite-Lived Intangible Assets, Gross, Total", "terseLabel": "Gross carrying amount", "label": "Finite-Lived Intangible Assets, Gross", "documentation": "Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life." } } }, "auth_ref": [ "r146", "r594" ] }, "ecd_RecoveryOfErrCompDisclosureLineItems": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "RecoveryOfErrCompDisclosureLineItems", "lang": { "en-us": { "role": { "label": "Recovery of Erroneously Awarded Compensation Disclosure [Line Items]", "terseLabel": "Recovery of Erroneously Awarded Compensation Disclosure" } } }, "auth_ref": [ "r788", "r799", "r809", "r834" ] }, "us-gaap_NetIncomeLossAttributableToParentDiluted": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetIncomeLossAttributableToParentDiluted", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Numerator for diluted loss per share", "label": "Net Income (Loss) Attributable to Parent, Diluted", "documentation": "The portion of profit or loss for the period, net of income taxes, which is attributable to the parent, and includes adjustments resulting from the assumption that dilutive convertible securities were converted, options or warrants were exercised, or that other shares were issued upon the satisfaction of certain conditions." } } }, "auth_ref": [] }, "ecd_PeoTotalCompAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PeoTotalCompAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "PEO Total Compensation Amount", "terseLabel": "PEO Total Compensation Amount" } } }, "auth_ref": [ "r822" ] }, "us-gaap_PaymentsOfDebtIssuanceCosts": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PaymentsOfDebtIssuanceCosts", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInFinancingActivities", "weight": -1.0, "order": 5.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "label": "Payments of Debt Issuance Costs", "negatedLabel": "Payments of debt issuance costs", "documentation": "The cash outflow paid to third parties in connection with debt origination, which will be amortized over the remaining maturity period of the associated long-term debt." } } }, "auth_ref": [ "r43" ] }, "us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RevenueFromContractWithCustomerExcludingAssessedTax", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_GrossProfit", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "verboseLabel": "Revenue", "terseLabel": "Total revenue", "label": "Revenue from Contract with Customer, Excluding Assessed Tax", "documentation": "Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise." } } }, "auth_ref": [ "r288", "r289", "r300", "r305", "r306", "r312", "r314", "r315", "r421", "r422", "r586" ] }, "us-gaap_DebtInstrumentRepurchasedFaceAmount": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentRepurchasedFaceAmount", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument repurchased face amount", "label": "Debt Instrument, Repurchased Face Amount", "documentation": "Face (par) amount of the original debt instrument that was repurchased." } } }, "auth_ref": [] }, "us-gaap_SegmentReportingDisclosureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SegmentReportingDisclosureTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Segment Information", "label": "Segment Reporting Disclosure [Text Block]", "documentation": "The entire disclosure for reporting segments including data and tables. Reportable segments include those that meet any of the following quantitative thresholds a) it's reported revenue, including sales to external customers and intersegment sales or transfers is 10 percent or more of the combined revenue, internal and external, of all operating segments b) the absolute amount of its reported profit or loss is 10 percent or more of the greater, in absolute amount of 1) the combined reported profit of all operating segments that did not report a loss or 2) the combined reported loss of all operating segments that did report a loss c) its assets are 10 percent or more of the combined assets of all operating segments." } } }, "auth_ref": [ "r283", "r284", "r285", "r286", "r287", "r299", "r304", "r308", "r309", "r310", "r311", "r312", "r313", "r315" ] }, "us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Issuance of common stock for employee stock purchase program (in shares)", "label": "Stock Issued During Period, Shares, Employee Stock Purchase Plans", "documentation": "Number of shares issued during the period as a result of an employee stock purchase plan." } } }, "auth_ref": [ "r14", "r120", "r121", "r155" ] }, "us-gaap_EarningsPerShareDiluted": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EarningsPerShareDiluted", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Earnings Per Share, Diluted, Total", "label": "Earnings Per Share, Diluted", "terseLabel": "Net loss per share attributable to common stockholders, diluted", "documentation": "The amount of net income (loss) for the period available to each share of common stock or common unit outstanding during the reporting period and to each share or unit that would have been outstanding assuming the issuance of common shares or units for all dilutive potential common shares or units outstanding during the reporting period." } } }, "auth_ref": [ "r227", "r251", "r252", "r254", "r255", "r257", "r266", "r273", "r274", "r275", "r279", "r530", "r531", "r598", "r617", "r745" ] }, "us-gaap_IncreaseDecreaseInOtherNoncurrentAssets": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncreaseDecreaseInOtherNoncurrentAssets", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": -1.0, "order": 10.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "negatedLabel": "Other long-term assets", "label": "Increase (Decrease) in Other Noncurrent Assets", "documentation": "Amount of increase (decrease) in noncurrent assets classified as other." } } }, "auth_ref": [ "r882" ] }, "ecd_ErrCompRecoveryTable": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ErrCompRecoveryTable", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Erroneously Awarded Compensation Recovery [Table]", "terseLabel": "Erroneously Awarded Compensation Recovery" } } }, "auth_ref": [ "r788", "r799", "r809", "r834" ] }, "us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetCashProvidedByUsedInOperatingActivitiesAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "OPERATING ACTIVITIES:", "label": "Net Cash Provided by (Used in) Operating Activities [Abstract]" } } }, "auth_ref": [] }, "us-gaap_Goodwill": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "Goodwill", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Assets", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsChangesInCarryingAmountOfGoodwillAttributableToSoftwareReportableSegmentDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Goodwill, Total", "terseLabel": "Goodwill", "periodStartLabel": "Beginning Balance", "periodEndLabel": "Ending Balance", "label": "Goodwill", "documentation": "Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized." } } }, "auth_ref": [ "r207", "r335", "r595", "r749", "r769", "r898", "r905" ] }, "us-gaap_DeferredIncomeTaxLiabilitiesNet": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DeferredIncomeTaxLiabilitiesNet", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesNoncurrent", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Deferred tax liabilities", "label": "Deferred Income Tax Liabilities, Net", "documentation": "Amount, after deferred tax asset, of deferred tax liability attributable to taxable differences with jurisdictional netting." } } }, "auth_ref": [ "r472", "r473", "r602" ] }, "us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetCashProvidedByUsedInInvestingActivitiesAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "INVESTING ACTIVITIES:", "label": "Net Cash Provided by (Used in) Investing Activities [Abstract]" } } }, "auth_ref": [] }, "us-gaap_GrossProfit": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "GrossProfit", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_OperatingIncomeLoss", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Gross profit", "label": "Gross Profit", "documentation": "Aggregate revenue less cost of goods and services sold or operating expenses directly attributable to the revenue generation activity." } } }, "auth_ref": [ "r132", "r237", "r287", "r301", "r307", "r310", "r320", "r367", "r368", "r369", "r370", "r371", "r372", "r373", "r374", "r375", "r539", "r747", "r916" ] }, "us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IndefiniteLivedIntangibleAssetsExcludingGoodwill", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "periodEndLabel": "Indefinite-Lived Intangible Assets (Excluding Goodwill), Ending Balance", "periodStartLabel": "Indefinite-Lived Intangible Assets (Excluding Goodwill), Beginning Balance", "totalLabel": "Indefinite-Lived Intangible Assets (Excluding Goodwill), Total", "terseLabel": "Net carrying amount", "label": "Indefinite-Lived Intangible Assets (Excluding Goodwill)", "documentation": "Amount of assets, excluding financial assets and goodwill, lacking physical substance and having a projected indefinite period of benefit." } } }, "auth_ref": [ "r147" ] }, "us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementOfIncomeAndComprehensiveIncomeAbstract", "lang": { "en-us": { "role": { "label": "Statement of Comprehensive Income [Abstract]" } } }, "auth_ref": [] }, "us-gaap_LineOfCreditFacilityCurrentBorrowingCapacity": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LineOfCreditFacilityCurrentBorrowingCapacity", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Credit facility", "label": "Line of Credit Facility, Current Borrowing Capacity", "documentation": "Amount of current borrowing capacity under the credit facility considering any current restrictions on the amount that could be borrowed (for example, borrowings may be limited by the amount of current assets), but without considering any amounts currently outstanding under the facility." } } }, "auth_ref": [ "r24" ] }, "us-gaap_NetCashProvidedByUsedInOperatingActivities": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetCashProvidedByUsedInOperatingActivities", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Net cash provided by operating activities", "label": "Net Cash Provided by (Used in) Operating Activities", "documentation": "Amount of cash inflow (outflow) from operating activities, including discontinued operations. Operating activity cash flows include transactions, adjustments, and changes in value not defined as investing or financing activities." } } }, "auth_ref": [ "r139", "r140", "r141" ] }, "dei_EntityAddressPostalZipCode": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityAddressPostalZipCode", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Address, Postal Zip Code", "label": "Entity Address, Postal Zip Code", "documentation": "Code for the postal or zip code" } } }, "auth_ref": [] }, "us-gaap_ArrangementsAndNonarrangementTransactionsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ArrangementsAndNonarrangementTransactionsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Collaborative Arrangement and Arrangement Other than Collaborative", "label": "Collaborative Arrangement and Arrangement Other than Collaborative [Domain]", "documentation": "Collaborative arrangement and arrangement other than collaborative applicable to revenue-generating activity or operations." } } }, "auth_ref": [ "r499" ] }, "us-gaap_PreferredStockSharesIssued": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PreferredStockSharesIssued", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical" ], "lang": { "en-us": { "role": { "terseLabel": "Preferred stock, shares issued", "label": "Preferred Stock, Shares Issued", "documentation": "Total number of nonredeemable preferred shares (or preferred stock redeemable solely at the option of the issuer) issued to shareholders (includes related preferred shares that were issued, repurchased, and remain in the treasury). May be all or portion of the number of preferred shares authorized. Excludes preferred shares that are classified as debt." } } }, "auth_ref": [ "r120", "r404" ] }, "us-gaap_CommitmentsAndContingencies": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommitmentsAndContingencies", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesAndStockholdersEquity", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Commitments and contingencies", "label": "Commitments and Contingencies", "documentation": "Represents the caption on the face of the balance sheet to indicate that the entity has entered into (1) purchase or supply arrangements that will require expending a portion of its resources to meet the terms thereof, and (2) is exposed to potential losses or, less frequently, gains, arising from (a) possible claims against a company's resources due to future performance under contract terms, and (b) possible losses or likely gains from uncertainties that will ultimately be resolved when one or more future events that are deemed likely to occur do occur or fail to occur." } } }, "auth_ref": [ "r33", "r111", "r603", "r680" ] }, "us-gaap_StatementOfStockholdersEquityAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementOfStockholdersEquityAbstract", "lang": { "en-us": { "role": { "label": "Statement of Stockholders' Equity [Abstract]" } } }, "auth_ref": [] }, "us-gaap_StatementOfCashFlowsAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementOfCashFlowsAbstract", "lang": { "en-us": { "role": { "label": "Statement of Cash Flows [Abstract]" } } }, "auth_ref": [] }, "ecd_PvpTable": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PvpTable", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Pay vs Performance Disclosure [Table]", "terseLabel": "Pay vs Performance Disclosure" } } }, "auth_ref": [ "r821" ] }, "us-gaap_PreferredStockSharesAuthorized": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PreferredStockSharesAuthorized", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical" ], "lang": { "en-us": { "role": { "terseLabel": "Preferred stock, shares authorized", "label": "Preferred Stock, Shares Authorized", "documentation": "The maximum number of nonredeemable preferred shares (or preferred stock redeemable solely at the option of the issuer) permitted to be issued by an entity's charter and bylaws." } } }, "auth_ref": [ "r120", "r681" ] }, "us-gaap_PreferredStockSharesOutstanding": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PreferredStockSharesOutstanding", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical" ], "lang": { "en-us": { "role": { "periodEndLabel": "Preferred Stock, Shares Outstanding, Ending Balance", "periodStartLabel": "Preferred Stock, Shares Outstanding, Beginning Balance", "terseLabel": "Preferred stock, shares outstanding", "label": "Preferred Stock, Shares Outstanding", "documentation": "Aggregate share number for all nonredeemable preferred stock (or preferred stock redeemable solely at the option of the issuer) held by stockholders. Does not include preferred shares that have been repurchased." } } }, "auth_ref": [ "r120", "r681", "r699", "r971", "r972" ] }, "dei_CityAreaCode": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "CityAreaCode", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "City Area Code", "label": "City Area Code", "documentation": "Area code of city" } } }, "auth_ref": [] }, "altr_ClientEngineeringServicesMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ClientEngineeringServicesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Client Engineering Services [Member]", "label": "Client Engineering Services [Member]", "documentation": "Client engineering services." } } }, "auth_ref": [] }, "altr_SharesFairValueReclassificationsOfTemporaryToPermanentEquity": { "xbrltype": "sharesItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SharesFairValueReclassificationsOfTemporaryToPermanentEquity", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Remaining mezzanine equity", "label": "Shares Fair Value Reclassifications Of Temporary To Permanent Equity", "documentation": "Shares fair value reclassifications of temporary to permanent equity." } } }, "auth_ref": [] }, "dei_LocalPhoneNumber": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "LocalPhoneNumber", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Local Phone Number", "label": "Local Phone Number", "documentation": "Local phone number for entity." } } }, "auth_ref": [] }, "altr_EffectiveIncomeTaxRateReconciliationReconcilingItemsDiscreteBenefitsAmount": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "EffectiveIncomeTaxRateReconciliationReconcilingItemsDiscreteBenefitsAmount", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureIncomeTaxesAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "documentation": "Effective income tax rate reconciliation reconciling items discrete benefits amount.", "label": "Effective Income Tax Rate Reconciliation Reconciling Items Discrete Benefits Amount", "terseLabel": "Net discrete expense (benefit)" } } }, "auth_ref": [] }, "altr_DebtInstrumentConvertibleConversionRatePrincipalAmount": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "DebtInstrumentConvertibleConversionRatePrincipalAmount", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument conversion rate principal amount of notes", "label": "Debt Instrument Convertible Conversion Rate Principal Amount", "documentation": "Debt instrument convertible conversion rate principal amount." } } }, "auth_ref": [] }, "us-gaap_DevelopedTechnologyRightsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DevelopedTechnologyRightsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Developed Technology [Member]", "label": "Developed Technology Rights [Member]", "documentation": "Rights to developed technology, which can include the right to develop, use, market, sell, or offer for sale products, compounds, or intellectual property." } } }, "auth_ref": [ "r160" ] }, "altr_OtherProductAndServiceMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "OtherProductAndServiceMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Other [Member]", "label": "Other Product And Service [Member]", "documentation": "Other product and service." } } }, "auth_ref": [] }, "us-gaap_TemporaryEquityCarryingAmountAttributableToParent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "TemporaryEquityCarryingAmountAttributableToParent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesAndStockholdersEquity", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "MEZZANINE EQUITY", "label": "Temporary Equity, Carrying Amount, Attributable to Parent", "documentation": "Carrying amount, attributable to parent, of an entity's issued and outstanding stock which is not included within permanent equity. Temporary equity is a security with redemption features that are outside the control of the issuer, is not classified as an asset or liability in conformity with GAAP, and is not mandatorily redeemable. Includes any type of security that is redeemable at a fixed or determinable price or on a fixed or determinable date or dates, is redeemable at the option of the holder, or has conditions for redemption which are not solely within the control of the issuer. Includes stock with a put option held by an ESOP and stock redeemable by a holder only in the event of a change in control of the issuer." } } }, "auth_ref": [ "r367", "r369", "r370", "r371", "r374", "r375", "r468", "r606" ] }, "ecd_PvpTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PvpTableTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Pay vs Performance [Table Text Block]", "terseLabel": "Pay vs Performance Disclosure, Table" } } }, "auth_ref": [ "r821" ] }, "us-gaap_DebtInstrumentConvertibleThresholdPercentageOfStockPriceTrigger": { "xbrltype": "percentItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentConvertibleThresholdPercentageOfStockPriceTrigger", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, convertible, threshold percentage of conversion price", "label": "Debt Instrument, Convertible, Threshold Percentage of Stock Price Trigger", "documentation": "Minimum percentage of common stock price to conversion price of convertible debt instruments to determine eligibility of conversion." } } }, "auth_ref": [] }, "altr_DebtInstrumentPrincipalAmountDenominationForConversionIntoCommonstock": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "DebtInstrumentPrincipalAmountDenominationForConversionIntoCommonstock", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, convertible, principal amount", "label": "Debt Instrument Principal Amount Denomination For Conversion Into CommonStock", "documentation": "Debt instrument principal amount denomination for conversion into commonStock" } } }, "auth_ref": [] }, "us-gaap_DepreciationDepletionAndAmortization": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DepreciationDepletionAndAmortization", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 1.0 }, "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail": { "parentTag": "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "weight": -1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Depreciation, Depletion and Amortization, Total", "negatedLabel": "Depreciation and amortization", "terseLabel": "Depreciation and amortization", "label": "Depreciation, Depletion and Amortization", "documentation": "The aggregate expense recognized in the current period that allocates the cost of tangible assets, intangible assets, or depleting assets to periods that benefit from use of the assets." } } }, "auth_ref": [ "r11", "r292" ] }, "altr_FairValueExpenseRecognized": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "FairValueExpenseRecognized", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "verboseLabel": "Expense on repurchase of convertible senior notes", "terseLabel": "Fair value expense recognized", "label": "Fair Value Expense Recognized", "documentation": "Fair value expense recognized." } } }, "auth_ref": [] }, "us-gaap_PreferredStockParOrStatedValuePerShare": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PreferredStockParOrStatedValuePerShare", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical" ], "lang": { "en-us": { "role": { "terseLabel": "Preferred stock, par value", "label": "Preferred Stock, Par or Stated Value Per Share", "documentation": "Face amount or stated value per share of preferred stock nonredeemable or redeemable solely at the option of the issuer." } } }, "auth_ref": [ "r120", "r404" ] }, "altr_ProceedsFromEmployeeStockPurchasePlanContributions": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ProceedsFromEmployeeStockPurchasePlanContributions", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInFinancingActivities", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Proceeds from employee stock purchase plan contributions", "label": "Proceeds From Employee Stock Purchase Plan Contributions", "documentation": "Proceeds from employee stock purchase plan contributions." } } }, "auth_ref": [] }, "altr_TwoThousandAndSeventeenEquityIncentivePlanMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "TwoThousandAndSeventeenEquityIncentivePlanMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables" ], "lang": { "en-us": { "role": { "terseLabel": "2017 Plan [Member]", "label": "Two Thousand And Seventeen Equity Incentive Plan [Member]", "documentation": "Two thousand and seventeen equity incentive plan." } } }, "auth_ref": [] }, "us-gaap_AmortizationOfIntangibleAssets": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AmortizationOfIntangibleAssets", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_OperatingExpenses", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Amortization of intangible assets", "label": "Amortization of Intangible Assets", "negatedTerseLabel": "Amortization of intangible assets", "documentation": "The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method." } } }, "auth_ref": [ "r11", "r67", "r72" ] }, "dei_AmendmentFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "AmendmentFlag", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Amendment Flag", "label": "Amendment Flag", "documentation": "Boolean flag that is true when the XBRL content amends previously-filed or accepted submission." } } }, "auth_ref": [] }, "altr_OptionToPurchaseAdditionalPrincipalAmountOfNotesToUnderwriters": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "OptionToPurchaseAdditionalPrincipalAmountOfNotesToUnderwriters", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Additional principal amount of notes to underwriters", "label": "Option To Purchase Additional Principal Amount Of Notes To Underwriters", "documentation": "Option to purchase additional principal amount of notes to underwriters." } } }, "auth_ref": [] }, "us-gaap_ConcentrationRiskPercentage1": { "xbrltype": "percentItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConcentrationRiskPercentage1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Percentage of net revenues through indirect channels", "label": "Concentration Risk, Percentage", "documentation": "For an entity that discloses a concentration risk in relation to quantitative amount, which serves as the \"benchmark\" (or denominator) in the equation, this concept represents the concentration percentage derived from the division." } } }, "auth_ref": [ "r54", "r56", "r103", "r104", "r315" ] }, "dei_EntityCurrentReportingStatus": { "xbrltype": "yesNoItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityCurrentReportingStatus", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Current Reporting Status", "label": "Entity Current Reporting Status", "documentation": "Indicate 'Yes' or 'No' whether registrants (1) have filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months (or for such shorter period that registrants were required to file such reports), and (2) have been subject to such filing requirements for the past 90 days. This information should be based on the registrant's current or most recent filing containing the related disclosure." } } }, "auth_ref": [] }, "us-gaap_StatementBusinessSegmentsAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementBusinessSegmentsAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "CES [Member]", "label": "Segments [Axis]", "documentation": "Information by business segments." } } }, "auth_ref": [ "r200", "r284", "r287", "r288", "r289", "r290", "r291", "r292", "r293", "r294", "r295", "r296", "r297", "r298", "r300", "r301", "r302", "r303", "r304", "r305", "r306", "r307", "r308", "r310", "r315", "r336", "r337", "r338", "r339", "r340", "r341", "r342", "r343", "r344", "r352", "r355", "r358", "r619", "r620", "r621", "r622", "r623", "r624", "r625", "r626", "r627", "r628", "r629", "r749", "r870", "r968" ] }, "altr_ScheduleOfIncomeTaxExpenseBenefitAndEffectiveTaxRateTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ScheduleOfIncomeTaxExpenseBenefitAndEffectiveTaxRateTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureIncomeTaxesTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule of Income Tax Expense and Effective Tax Rate", "label": "Schedule Of Income Tax Expense Benefit And Effective Tax Rate Table [Text Block]", "documentation": "Schedule Of Income Tax Expense Benefit And Effective Tax Rate [Table Text Block]" } } }, "auth_ref": [] }, "us-gaap_DebtInstrumentConvertibleThresholdTradingDays": { "xbrltype": "integerItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentConvertibleThresholdTradingDays", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, convertible, trading days", "label": "Debt Instrument, Convertible, Threshold Trading Days", "documentation": "Threshold number of specified trading days that common stock price to conversion price of convertible debt instruments must exceed threshold percentage within a specified consecutive trading period to trigger conversion feature." } } }, "auth_ref": [] }, "us-gaap_DebtInstrumentRedemptionPricePercentage": { "xbrltype": "percentItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentRedemptionPricePercentage", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Debt Instrument, Redemption Price, Percentage", "documentation": "Percentage price of original principal amount of debt at which debt can be redeemed by the issuer." } } }, "auth_ref": [ "r18" ] }, "altr_PerpetualLicensesMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "PerpetualLicensesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Perpetual licenses [Member]", "label": "Perpetual Licenses [Member]", "documentation": "Perpetual licenses." } } }, "auth_ref": [] }, "dei_Security12bTitle": { "xbrltype": "securityTitleItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "Security12bTitle", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Title of 12(b) Security", "label": "Title of 12(b) Security", "documentation": "Title of a 12(b) registered security." } } }, "auth_ref": [ "r783" ] }, "dei_DocumentFiscalPeriodFocus": { "xbrltype": "fiscalPeriodItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "DocumentFiscalPeriodFocus", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Document Fiscal Period Focus", "label": "Document Fiscal Period Focus", "documentation": "Fiscal period values are FY, Q1, Q2, and Q3. 1st, 2nd and 3rd quarter 10-Q or 10-QT statements have value Q1, Q2, and Q3 respectively, with 10-K, 10-KT or other fiscal year statements having FY." } } }, "auth_ref": [] }, "us-gaap_NetIncomeLossAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetIncomeLossAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Numerator:", "label": "Net Income (Loss) Attributable to Parent [Abstract]" } } }, "auth_ref": [] }, "dei_EntityShellCompany": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityShellCompany", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Shell Company", "label": "Entity Shell Company", "documentation": "Boolean flag that is true when the registrant is a shell company as defined in Rule 12b-2 of the Exchange Act." } } }, "auth_ref": [ "r784" ] }, "us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LineOfCreditFacilityRemainingBorrowingCapacity", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Amount available for future borrowing", "label": "Line of Credit Facility, Remaining Borrowing Capacity", "documentation": "Amount of borrowing capacity currently available under the credit facility (current borrowing capacity less the amount of borrowings outstanding)." } } }, "auth_ref": [ "r24" ] }, "us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1": { "xbrltype": "durationItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionPeriod1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail1" ], "lang": { "en-us": { "role": { "terseLabel": "Revenue, remaining contractual obligation, expected to recognize, period", "label": "Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Period", "documentation": "Period in which remaining performance obligation is expected to be recognized as revenue, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days." } } }, "auth_ref": [ "r182" ] }, "altr_AccruedDefinedContributionPlanLiabilitiesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "AccruedDefinedContributionPlanLiabilitiesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 8.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Defined contribution plan liabilities", "label": "Accrued Defined Contribution Plan Liabilities Current", "documentation": "Accrued defined contribution plan liabilities current." } } }, "auth_ref": [] }, "us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncrementalCommonSharesAttributableToShareBasedPaymentArrangements", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail": { "parentTag": "us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Effect of dilutive securities, stock options, RSUs and ESPP shares", "label": "Incremental Common Shares Attributable to Dilutive Effect of Share-Based Payment Arrangements", "documentation": "Additional shares included in the calculation of diluted EPS as a result of the potentially dilutive effect of share based payment arrangements using the treasury stock method." } } }, "auth_ref": [ "r267", "r268", "r269", "r275", "r432" ] }, "us-gaap_AdditionalPaidInCapitalCommonStock": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AdditionalPaidInCapitalCommonStock", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_StockholdersEquity", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Additional paid-in capital", "label": "Additional Paid in Capital, Common Stock", "documentation": "Value received from shareholders in common stock-related transactions that are in excess of par value or stated value and amounts received from other stock-related transactions. Includes only common stock transactions (excludes preferred stock transactions). May be called contributed capital, capital in excess of par, capital surplus, or paid-in capital." } } }, "auth_ref": [ "r122" ] }, "altr_SoftwareSegmentMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SoftwareSegmentMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Software [Member]", "label": "Software Segment [Member]", "documentation": "Software." } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted average exercise price per share, Granted", "label": "Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Grants in Period, Weighted Average Exercise Price", "documentation": "Weighted average per share amount at which grantees can acquire shares of common stock by exercise of options." } } }, "auth_ref": [ "r441" ] }, "us-gaap_ReclassificationsOfTemporaryToPermanentEquity": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ReclassificationsOfTemporaryToPermanentEquity", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Reclassification of mezzanine equity to permanent equity", "label": "Reclassifications of Temporary to Permanent Equity", "documentation": "The difference between the carrying amount of a financial instrument subject to a registration payment arrangement recorded as temporary equity prior to adoption of FSP EITF 00-19-2 and the carrying amount reclassified to permanent equity upon the adoption of FSP EITF 00-19-2. Recorded as a cumulative effect adjustment to the beginning balance of retained earnings. Does not apply to registration payment arrangements that are no longer outstanding upon adoption of FSP EITF 00-19-2." } } }, "auth_ref": [ "r152", "r163" ] }, "us-gaap_IncreaseDecreaseInContractWithCustomerLiability": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncreaseDecreaseInContractWithCustomerLiability", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 14.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Deferred revenue", "label": "Increase (Decrease) in Contract with Customer, Liability", "documentation": "Amount of increase (decrease) in obligation to transfer good or service to customer for which consideration has been received or is receivable." } } }, "auth_ref": [ "r585", "r882" ] }, "us-gaap_InterestAndOtherIncome": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "InterestAndOtherIncome", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Interest income", "label": "Interest and Other Income", "negatedLabel": "Interest income", "documentation": "The amount of interest income and other income recognized during the period. Included in this element is interest derived from investments in debt securities, cash and cash equivalents, and other investments which reflect the time value of money or transactions in which the payments are for the use or forbearance of money and other income from ancillary business-related activities (that is, excluding major activities considered part of the normal operations of the business)." } } }, "auth_ref": [] }, "altr_DebtInstrumentConvertibleThresholdMaximumPercentageOfProductOfLastReportedSalePriceOfCommonStock": { "xbrltype": "percentItemType", "nsuri": "http://www.altair.com/20230930", "localname": "DebtInstrumentConvertibleThresholdMaximumPercentageOfProductOfLastReportedSalePriceOfCommonStock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, convertible, maximum threshold percentage of sale price of common stock during measurement period", "label": "Debt Instrument Convertible Threshold Maximum Percentage Of Product Of Last Reported Sale Price Of Common Stock", "documentation": "Debt instrument convertible threshold maximum percentage of product of last reported sale price of common stock." } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted average exercise price per share, Exercised", "label": "Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Exercises in Period, Weighted Average Exercise Price", "documentation": "Weighted average price at which option holders acquired shares when converting their stock options into shares." } } }, "auth_ref": [ "r442" ] }, "dei_EntityFilerCategory": { "xbrltype": "filerCategoryItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityFilerCategory", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Filer Category", "label": "Entity Filer Category", "documentation": "Indicate whether the registrant is one of the following: Large Accelerated Filer, Accelerated Filer, Non-accelerated Filer. Definitions of these categories are stated in Rule 12b-2 of the Exchange Act. This information should be based on the registrant's current or most recent filing containing the related disclosure." } } }, "auth_ref": [ "r784" ] }, "us-gaap_StatementOfFinancialPositionAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementOfFinancialPositionAbstract", "lang": { "en-us": { "role": { "label": "Statement of Financial Position [Abstract]" } } }, "auth_ref": [] }, "us-gaap_IndefiniteLivedIntangibleAssetsMajorClassNameDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IndefiniteLivedIntangibleAssetsMajorClassNameDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Indefinite-lived Intangible Assets, Major Class Name", "label": "Indefinite-Lived Intangible Assets, Major Class Name [Domain]", "documentation": "The major class of indefinite-lived intangible asset (for example, trade names, etc. but not all-inclusive), excluding goodwill. A major class is composed of intangible assets that can be grouped together because they are similar, either by their nature or by their use in the operations of the company." } } }, "auth_ref": [ "r69", "r147" ] }, "us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IndefiniteLivedIntangibleAssetsByMajorClassAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Indefinite-lived Intangible Assets", "label": "Indefinite-Lived Intangible Assets [Axis]", "documentation": "Information by type or class of assets, excluding financial assets and goodwill, lacking physical substance and having a projected indefinite period of benefit." } } }, "auth_ref": [ "r346", "r349" ] }, "altr_TwoThousandAndTwentyOneEmployeeStockPurchasePlanMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "TwoThousandAndTwentyOneEmployeeStockPurchasePlanMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "2021 Employee Stock Purchase Plan [Member]", "label": "Two Thousand And Twenty One Employee Stock Purchase Plan [Member]", "documentation": "Two thousand and twenty one employee stock purchase plan." } } }, "auth_ref": [] }, "altr_SoftwareRelatedServiceMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SoftwareRelatedServiceMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Software Related Services [Member]", "label": "Software Related Service [Member]", "documentation": "Software related service." } } }, "auth_ref": [] }, "us-gaap_StatementLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAcquisitionsTables", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Statement [Line Items]", "label": "Statement [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [ "r240", "r241", "r242", "r280", "r586", "r651", "r670", "r673", "r674", "r675", "r676", "r677", "r678", "r681", "r684", "r685", "r686", "r687", "r688", "r689", "r690", "r691", "r692", "r694", "r695", "r696", "r697", "r698", "r700", "r703", "r704", "r707", "r708", "r709", "r710", "r711", "r712", "r713", "r714", "r715", "r716", "r717", "r718", "r722", "r775" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePriceRollforward": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePriceRollforward", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]" } } }, "auth_ref": [] }, "altr_CurrencyGainsOnAcquisitionRelatedIntercompanyLoans": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "CurrencyGainsOnAcquisitionRelatedIntercompanyLoans", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "documentation": "Currency gains on acquisition related intercompany loans.", "label": "Currency Gains On Acquisition Related Intercompany Loans", "terseLabel": "Currency gains on acquisition-related intercompany loans" } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted average exercise price per share, Forfeited", "label": "Share-Based Compensation Arrangements by Share-Based Payment Award, Options, Forfeitures in Period, Weighted Average Exercise Price", "documentation": "Weighted average price at which grantees could have acquired the underlying shares with respect to stock options that were terminated." } } }, "auth_ref": [ "r443" ] }, "dei_TradingSymbol": { "xbrltype": "tradingSymbolItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "TradingSymbol", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Trading Symbol", "label": "Trading Symbol", "documentation": "Trading symbol of an instrument as listed on an exchange." } } }, "auth_ref": [] }, "dei_DocumentFiscalYearFocus": { "xbrltype": "gYearItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "DocumentFiscalYearFocus", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Document Fiscal Year Focus", "label": "Document Fiscal Year Focus", "documentation": "This is focus fiscal year of the document report in YYYY format. For a 2006 annual report, which may also provide financial information from prior periods, fiscal 2006 should be given as the fiscal year focus. Example: 2006." } } }, "auth_ref": [] }, "dei_EntitySmallBusiness": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntitySmallBusiness", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Small Business", "label": "Entity Small Business", "documentation": "Indicates that the company is a Smaller Reporting Company (SRC)." } } }, "auth_ref": [ "r784" ] }, "us-gaap_DebtInstrumentConvertibleIfConvertedValueInExcessOfPrincipal": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentConvertibleIfConvertedValueInExcessOfPrincipal", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, convertible, \"if-converted value\" in excess of the principal amount", "label": "Debt Instrument, Convertible, If-converted Value in Excess of Principal", "documentation": "The amount by which the convertible debt's if-converted value exceeds its principle amount at the balance sheet date, regardless of whether the instrument is currently convertible. This element applies to public companies only." } } }, "auth_ref": [ "r76" ] }, "dei_EntityFileNumber": { "xbrltype": "fileNumberItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityFileNumber", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity File Number", "label": "Securities Act File Number", "documentation": "Commission file number. The field allows up to 17 characters. The prefix may contain 1-3 digits, the sequence number may contain 1-8 digits, the optional suffix may contain 1-4 characters, and the fields are separated with a hyphen." } } }, "auth_ref": [] }, "dei_SecurityExchangeName": { "xbrltype": "edgarExchangeCodeItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "SecurityExchangeName", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Security Exchange Name", "label": "Security Exchange Name", "documentation": "Name of the Exchange on which a security is registered." } } }, "auth_ref": [ "r785" ] }, "us-gaap_BalanceSheetLocationAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BalanceSheetLocationAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Balance Sheet Location", "label": "Balance Sheet Location [Axis]", "documentation": "Information by location on balance sheet (statement of financial position)." } } }, "auth_ref": [] }, "us-gaap_StockholdersEquityAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockholdersEquityAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "STOCKHOLDERS\u2019 EQUITY:", "label": "Equity, Attributable to Parent [Abstract]" } } }, "auth_ref": [] }, "us-gaap_GoodwillAndIntangibleAssetsDisclosureAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "GoodwillAndIntangibleAssetsDisclosureAbstract", "lang": { "en-us": { "role": { "label": "Goodwill and Intangible Assets Disclosure [Abstract]" } } }, "auth_ref": [] }, "srt_LitigationCaseTypeDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "LitigationCaseTypeDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingenciesAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Litigation Case", "label": "Litigation Case [Domain]" } } }, "auth_ref": [] }, "ecd_CoSelectedMeasureName": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "CoSelectedMeasureName", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Company Selected Measure Name", "terseLabel": "Company Selected Measure Name" } } }, "auth_ref": [ "r825" ] }, "us-gaap_EquityAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EquityAbstract", "lang": { "en-us": { "role": { "label": "Equity [Abstract]" } } }, "auth_ref": [] }, "us-gaap_CommonStockValue": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonStockValue", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_StockholdersEquity", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Common stock", "label": "Common Stock, Value, Issued", "documentation": "Aggregate par or stated value of issued nonredeemable common stock (or common stock redeemable solely at the option of the issuer). This item includes treasury stock repurchased by the entity. Note: elements for number of nonredeemable common shares, par value and other disclosure concepts are in another section within stockholders' equity." } } }, "auth_ref": [ "r121", "r605", "r769" ] }, "dei_EntityIncorporationStateCountryCode": { "xbrltype": "edgarStateCountryItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityIncorporationStateCountryCode", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Incorporation, State or Country Code", "label": "Entity Incorporation, State or Country Code", "documentation": "Two-character EDGAR code representing the state or country of incorporation." } } }, "auth_ref": [] }, "us-gaap_BusinessAcquisitionEquityInterestIssuedOrIssuableValueAssigned": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BusinessAcquisitionEquityInterestIssuedOrIssuableValueAssigned", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Business acquisition, shares issued value", "label": "Business Acquisition, Equity Interest Issued or Issuable, Value Assigned", "documentation": "Value of equity interests (such as common shares, preferred shares, or partnership interest) issued or issuable to acquire the entity." } } }, "auth_ref": [ "r161" ] }, "us-gaap_RestrictedCashAndCashEquivalentsNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RestrictedCashAndCashEquivalentsNoncurrent", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationReconciliationOfCashCashEquivalentsAndRestrictedCashDetail": { "parentTag": "us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationReconciliationOfCashCashEquivalentsAndRestrictedCashDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Restricted Cash and Cash Equivalents, Noncurrent, Total", "terseLabel": "Restricted cash included in other long-term assets", "label": "Restricted Cash and Cash Equivalents, Noncurrent", "documentation": "Amount of cash and cash equivalents restricted as to withdrawal or usage, classified as noncurrent. Cash includes, but is not limited to, currency on hand, demand deposits with banks or financial institutions, and other accounts with general characteristics of demand deposits. Cash equivalents include, but are not limited to, short-term, highly liquid investments that are both readily convertible to known amounts of cash and so near their maturity that they present insignificant risk of changes in value because of changes in interest rates." } } }, "auth_ref": [ "r45", "r175", "r234" ] }, "us-gaap_CommonStockSharesIssued": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonStockSharesIssued", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical" ], "lang": { "en-us": { "role": { "terseLabel": "Common stock, shares issued", "label": "Common Stock, Shares, Issued", "documentation": "Total number of common shares of an entity that have been sold or granted to shareholders (includes common shares that were issued, repurchased and remain in the treasury). These shares represent capital invested by the firm's shareholders and owners, and may be all or only a portion of the number of shares authorized. Shares issued include shares outstanding and shares held in the treasury." } } }, "auth_ref": [ "r121" ] }, "us-gaap_PaymentsForRepurchaseOfCommonStock": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PaymentsForRepurchaseOfCommonStock", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "label": "Payments for Repurchase of Common Stock", "negatedLabel": "Repurchase and retirement of common stock", "documentation": "The cash outflow to reacquire common stock during the period." } } }, "auth_ref": [ "r41" ] }, "us-gaap_LicenseAndMaintenanceMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LicenseAndMaintenanceMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Total Software [Member]", "label": "License and Maintenance [Member]", "documentation": "Right to use intangible asset and process of preserving asset. Intangible asset includes, but is not limited to, patent, copyright, technology, manufacturing process, software or trademark." } } }, "auth_ref": [ "r922" ] }, "us-gaap_LicenseAndServiceMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LicenseAndServiceMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Total Software and Related Services [Member]", "label": "License and Service [Member]", "documentation": "Right to use intangible asset and performance of related service. Intangible asset includes, but is not limited to, patent, copyright, technology, manufacturing process, software or trademark." } } }, "auth_ref": [ "r922" ] }, "altr_WorldProgrammingMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "WorldProgrammingMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAcquisitionsTables", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "World Programming [Member]", "label": "World Programming [Member]", "documentation": "World Programming." } } }, "auth_ref": [] }, "srt_CumulativeEffectPeriodOfAdoptionDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "CumulativeEffectPeriodOfAdoptionDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Cumulative Effect, Period of Adoption", "label": "Cumulative Effect, Period of Adoption [Domain]" } } }, "auth_ref": [ "r196", "r243", "r254", "r261", "r325", "r333", "r465", "r466", "r467", "r481", "r482", "r511", "r513", "r514", "r516", "r518", "r519", "r523", "r526", "r529", "r530", "r578" ] }, "us-gaap_IncomeTaxDisclosureAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeTaxDisclosureAbstract", "lang": { "en-us": { "role": { "label": "Income Tax Disclosure [Abstract]" } } }, "auth_ref": [] }, "us-gaap_CommonStockSharesAuthorized": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonStockSharesAuthorized", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical" ], "lang": { "en-us": { "role": { "terseLabel": "Common stock, shares authorized", "label": "Common Stock, Shares Authorized", "documentation": "The maximum number of common shares permitted to be issued by an entity's charter and bylaws." } } }, "auth_ref": [ "r121", "r681" ] }, "srt_CumulativeEffectPeriodOfAdoptionAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "CumulativeEffectPeriodOfAdoptionAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Cumulative Effect, Period of Adoption", "label": "Cumulative Effect, Period of Adoption [Axis]" } } }, "auth_ref": [ "r196", "r243", "r254", "r261", "r325", "r333", "r465", "r466", "r467", "r481", "r482", "r511", "r513", "r514", "r516", "r518", "r519", "r523", "r526", "r529", "r530", "r578" ] }, "ecd_NonGaapMeasureDescriptionTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "NonGaapMeasureDescriptionTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Non-GAAP Measure Description [Text Block]", "terseLabel": "Non-GAAP Measure Description" } } }, "auth_ref": [ "r825" ] }, "us-gaap_CommonStockSharesOutstanding": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonStockSharesOutstanding", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical" ], "lang": { "en-us": { "role": { "periodEndLabel": "Common Stock, Shares, Outstanding, Ending Balance", "periodStartLabel": "Common Stock, Shares, Outstanding, Beginning Balance", "terseLabel": "Common stock, shares outstanding", "label": "Common Stock, Shares, Outstanding", "documentation": "Number of shares of common stock outstanding. Common stock represent the ownership interest in a corporation." } } }, "auth_ref": [ "r14", "r121", "r681", "r699", "r971", "r972" ] }, "us-gaap_OperatingIncomeLoss": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OperatingIncomeLoss", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Operating loss", "label": "Operating Income (Loss)", "documentation": "The net result for the period of deducting operating expenses from operating revenues." } } }, "auth_ref": [ "r287", "r301", "r307", "r310", "r747" ] }, "us-gaap_DeferredIncomeTaxAssetsNet": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DeferredIncomeTaxAssetsNet", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Assets", "weight": 1.0, "order": 5.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Deferred tax assets", "label": "Deferred Income Tax Assets, Net", "documentation": "Amount, after allocation of valuation allowances and deferred tax liability, of deferred tax asset attributable to deductible differences and carryforwards, with jurisdictional netting." } } }, "auth_ref": [ "r472", "r473" ] }, "srt_CumulativeEffectPeriodOfAdoptionAdjustmentMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "CumulativeEffectPeriodOfAdoptionAdjustmentMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Cumulative Effect, Period of Adoption, Adjustment [Member]", "label": "Cumulative Effect, Period of Adoption, Adjustment [Member]" } } }, "auth_ref": [ "r196", "r243", "r254", "r261", "r325", "r333", "r465", "r466", "r467", "r481", "r482", "r511", "r513", "r514", "r516", "r518", "r519", "r523", "r526", "r529", "r530", "r578" ] }, "us-gaap_DebtDisclosureAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtDisclosureAbstract", "lang": { "en-us": { "role": { "label": "Debt Disclosure [Abstract]" } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail" ], "lang": { "en-us": { "role": { "negatedLabel": "Number of RSUs, Forfeited", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeited in Period", "documentation": "The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period." } } }, "auth_ref": [ "r450" ] }, "ecd_CompActuallyPaidVsOtherMeasureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "CompActuallyPaidVsOtherMeasureTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Compensation Actually Paid vs. Other Measure [Text Block]", "terseLabel": "Compensation Actually Paid vs. Other Measure" } } }, "auth_ref": [ "r831" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Number of RSUs, Granted", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period", "documentation": "The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan)." } } }, "auth_ref": [ "r448" ] }, "us-gaap_FairValueDisclosuresAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FairValueDisclosuresAbstract", "lang": { "en-us": { "role": { "label": "Fair Value Disclosures [Abstract]" } } }, "auth_ref": [] }, "ecd_MeasureAxis": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "MeasureAxis", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Measure [Axis]", "terseLabel": "Measure:" } } }, "auth_ref": [ "r825" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail" ], "lang": { "en-us": { "role": { "periodStartLabel": "Number of RSUs, Outstanding Beginning Balance", "periodEndLabel": "Number of RSUs, Outstanding Ending Balance", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number", "documentation": "The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date." } } }, "auth_ref": [ "r445", "r446" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "periodEndLabel": "Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value, Ending Balance", "periodStartLabel": "Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value, Beginning Balance", "terseLabel": "Weighted average grant date fair value of RSUs", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value", "documentation": "Per share or unit weighted-average fair value of nonvested award under share-based payment arrangement. Excludes share and unit options." } } }, "auth_ref": [ "r445", "r446" ] }, "us-gaap_LicenseMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LicenseMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "License [Member]", "label": "License [Member]", "documentation": "Right to use intangible asset. Intangible asset includes, but is not limited to, patent, copyright, technology, manufacturing process, software or trademark." } } }, "auth_ref": [ "r922" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingRollForward": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingRollForward", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding [Roll Forward]", "documentation": "A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period." } } }, "auth_ref": [] }, "us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount, Total", "terseLabel": "Compensation cost related to nonvested awards not yet recognized", "label": "Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount", "documentation": "Amount of cost not yet recognized for nonvested award under share-based payment arrangement." } } }, "auth_ref": [ "r463" ] }, "us-gaap_BusinessAcquisitionAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BusinessAcquisitionAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAcquisitionsTables", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Business Acquisition", "label": "Business Acquisition [Axis]", "documentation": "Information by business combination or series of individually immaterial business combinations." } } }, "auth_ref": [ "r89", "r90", "r493", "r763", "r764" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail" ], "lang": { "en-us": { "role": { "negatedLabel": "Number of RSUs, Vested", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period", "documentation": "The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period." } } }, "auth_ref": [ "r449" ] }, "us-gaap_RepaymentsOfConvertibleDebt": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RepaymentsOfConvertibleDebt", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInFinancingActivities", "weight": -1.0, "order": 4.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "label": "Repayments of Convertible Debt", "negatedLabel": "Repurchase of convertible senior notes", "documentation": "The cash outflow from the repayment of a long-term debt instrument which can be exchanged for a specified amount of another security, typically the entity's common stock, at the option of the issuer or the holder." } } }, "auth_ref": [ "r42" ] }, "us-gaap_IncreaseDecreaseInAccountsReceivable": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncreaseDecreaseInAccountsReceivable", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": -1.0, "order": 8.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "label": "Increase (Decrease) in Accounts Receivable", "negatedLabel": "Accounts receivable, net", "documentation": "The increase (decrease) during the reporting period in amount due within one year (or one business cycle) from customers for the credit sale of goods and services." } } }, "auth_ref": [ "r10" ] }, "us-gaap_BusinessAcquisitionAcquireeDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BusinessAcquisitionAcquireeDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAcquisitionsTables", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Business Acquisition, Acquiree", "label": "Business Acquisition, Acquiree [Domain]", "documentation": "Identification of the acquiree in a material business combination (or series of individually immaterial business combinations), which may include the name or other type of identification of the acquiree." } } }, "auth_ref": [ "r493", "r763", "r764" ] }, "us-gaap_StockholdersEquity": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockholdersEquity", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesAndStockholdersEquity", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "TOTAL STOCKHOLDERS\u2019 EQUITY", "periodStartLabel": "Beginning balance", "periodEndLabel": "Ending balance", "label": "Equity, Attributable to Parent", "documentation": "Amount of equity (deficit) attributable to parent. Excludes temporary equity and equity attributable to noncontrolling interest." } } }, "auth_ref": [ "r121", "r124", "r125", "r143", "r683", "r699", "r723", "r724", "r769", "r782", "r886", "r894", "r952", "r971" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAdditionalDisclosuresAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAdditionalDisclosuresAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Share-based Compensation Arrangement by Share-based Payment Award, Options, Additional Disclosures [Abstract]", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Additional Disclosures [Abstract]" } } }, "auth_ref": [] }, "us-gaap_LineOfCreditFacilityExpirationDate1": { "xbrltype": "dateItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LineOfCreditFacilityExpirationDate1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Maturity date", "label": "Line of Credit Facility, Expiration Date", "documentation": "Date the credit facility terminates, in YYYY-MM-DD format." } } }, "auth_ref": [ "r24" ] }, "ecd_OtherPerfMeasureAmt": { "xbrltype": "decimalItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "OtherPerfMeasureAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Other Performance Measure, Amount", "terseLabel": "Other Performance Measure, Amount" } } }, "auth_ref": [ "r825" ] }, "us-gaap_MaintenanceMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "MaintenanceMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Maintenance [Member]", "label": "Maintenance [Member]", "documentation": "Process of preserving asset, including, but not limited to, building, machinery and software." } } }, "auth_ref": [ "r922" ] }, "ecd_MeasureName": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "MeasureName", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Measure Name", "terseLabel": "Name" } } }, "auth_ref": [ "r825" ] }, "us-gaap_FairValueDisclosuresTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FairValueDisclosuresTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurements" ], "lang": { "en-us": { "role": { "terseLabel": "Fair Value Measurements", "label": "Fair Value Disclosures [Text Block]", "documentation": "The entire disclosure for the fair value of financial instruments (as defined), including financial assets and financial liabilities (collectively, as defined), and the measurements of those instruments as well as disclosures related to the fair value of non-financial assets and liabilities. Such disclosures about the financial instruments, assets, and liabilities would include: (1) the fair value of the required items together with their carrying amounts (as appropriate); (2) for items for which it is not practicable to estimate fair value, disclosure would include: (a) information pertinent to estimating fair value (including, carrying amount, effective interest rate, and maturity, and (b) the reasons why it is not practicable to estimate fair value; (3) significant concentrations of credit risk including: (a) information about the activity, region, or economic characteristics identifying a concentration, (b) the maximum amount of loss the entity is exposed to based on the gross fair value of the related item, (c) policy for requiring collateral or other security and information as to accessing such collateral or security, and (d) the nature and brief description of such collateral or security; (4) quantitative information about market risks and how such risks are managed; (5) for items measured on both a recurring and nonrecurring basis information regarding the inputs used to develop the fair value measurement; and (6) for items presented in the financial statement for which fair value measurement is elected: (a) information necessary to understand the reasons for the election, (b) discussion of the effect of fair value changes on earnings, (c) a description of [similar groups] items for which the election is made and the relation thereof to the balance sheet, the aggregate carrying value of items included in the balance sheet that are not eligible for the election; (7) all other required (as defined) and desired information." } } }, "auth_ref": [ "r536" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedRollForward", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]", "documentation": "A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period." } } }, "auth_ref": [] }, "srt_ProductOrServiceAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "ProductOrServiceAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Product and Service", "label": "Product and Service [Axis]" } } }, "auth_ref": [ "r312", "r586", "r630", "r631", "r632", "r633", "r634", "r635", "r742", "r756", "r770", "r870", "r914", "r915", "r920", "r968" ] }, "us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited": { "parentTag": "us-gaap_OtherComprehensiveIncomeLossNetOfTax", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited" ], "lang": { "en-us": { "role": { "negatedLabel": "Retirement related benefit plans (net of tax effect of $0, $0, $(79) and $7, respectively)", "terseLabel": "Retirement related benefit plans (net of tax effect of $0, $0, $(79) and $7, respectively)", "totalLabel": "Other Comprehensive (Income) Loss, Defined Benefit Plan, after Reclassification Adjustment, after Tax, Total", "negatedTerseLabel": "Retirement related benefit plans, net of tax", "label": "Other Comprehensive (Income) Loss, Defined Benefit Plan, after Reclassification Adjustment, after Tax", "documentation": "Amount, after tax and reclassification adjustment, of (increase) decrease in accumulated other comprehensive income for defined benefit plan." } } }, "auth_ref": [ "r7", "r128" ] }, "srt_RangeAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "RangeAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Statistical Measurement", "label": "Statistical Measurement [Axis]" } } }, "auth_ref": [ "r362", "r363", "r364", "r365", "r426", "r427", "r456", "r457", "r458", "r583", "r584", "r636", "r671", "r672", "r725", "r726", "r727", "r728", "r732", "r740", "r741", "r748", "r755", "r765", "r771", "r774", "r908", "r918", "r960", "r961", "r962", "r963", "r964" ] }, "us-gaap_OptionIndexedToIssuersEquityTypeAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OptionIndexedToIssuersEquityTypeAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Option Indexed to Issuer's Equity, Type [Axis]", "documentation": "Information by type of freestanding contracts issued by an entity that are indexed to, and potentially settled in, an entity's own stock." } } }, "auth_ref": [ "r77", "r98", "r99", "r163" ] }, "ecd_AdjToCompAxis": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AdjToCompAxis", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Adjustment to Compensation [Axis]", "terseLabel": "Adjustment to Compensation:" } } }, "auth_ref": [ "r826" ] }, "us-gaap_IncomeTaxesReceivable": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeTaxesReceivable", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_AssetsCurrent", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Income tax receivable", "label": "Income Taxes Receivable, Current", "documentation": "Carrying amount due within one year of the balance sheet date (or one operating cycle, if longer) from tax authorities as of the balance sheet date representing refunds of overpayments or recoveries based on agreed-upon resolutions of disputes." } } }, "auth_ref": [ "r109", "r875" ] }, "altr_BusinessCombinationContingentConsiderationMarkToMarketAdjustments": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "BusinessCombinationContingentConsiderationMarkToMarketAdjustments", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Business combination contingent consideration mark to market adjustments", "label": "Business Combination Contingent Consideration Mark to Market Adjustments", "documentation": "Business combination contingent consideration mark to market adjustments." } } }, "auth_ref": [] }, "us-gaap_IncomeTaxExpenseBenefit": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeTaxExpenseBenefit", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_NetIncomeLoss", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureIncomeTaxesScheduleOfIncomeTaxExpenseAndEffectiveTaxRateDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Income tax (benefit) expense", "verboseLabel": "Income tax (benefit) expense", "totalLabel": "Income Tax Expense (Benefit), Total", "label": "Income Tax Expense (Benefit)", "documentation": "Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations." } } }, "auth_ref": [ "r174", "r188", "r259", "r260", "r295", "r474", "r487", "r618" ] }, "us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited": { "parentTag": "us-gaap_OtherComprehensiveIncomeLossNetOfTax", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax, Total", "verboseLabel": "Foreign currency translation, net of tax", "terseLabel": "Foreign currency translation (net of tax effect of $0 for all periods)", "label": "Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax", "documentation": "Amount after tax and reclassification adjustments of gain (loss) on foreign currency translation adjustments, foreign currency transactions designated and effective as economic hedges of a net investment in a foreign entity and intra-entity foreign currency transactions that are of a long-term-investment nature." } } }, "auth_ref": [ "r4" ] }, "srt_ProductsAndServicesDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "ProductsAndServicesDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Product and Service", "label": "Product and Service [Domain]" } } }, "auth_ref": [ "r312", "r586", "r630", "r631", "r632", "r633", "r634", "r635", "r742", "r756", "r770", "r870", "r914", "r915", "r920", "r968" ] }, "ecd_AdjToCompAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AdjToCompAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Adjustment to Compensation Amount", "terseLabel": "Adjustment to Compensation, Amount" } } }, "auth_ref": [ "r826" ] }, "us-gaap_OtherComprehensiveIncomeLossNetOfTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherComprehensiveIncomeLossNetOfTax", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited": { "parentTag": "us-gaap_ComprehensiveIncomeNetOfTax", "weight": 1.0, "order": 1.0 }, "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Total other comprehensive loss", "label": "Other Comprehensive Income (Loss), Net of Tax", "documentation": "Amount after tax and reclassification adjustments of other comprehensive income (loss)." } } }, "auth_ref": [ "r14", "r20", "r217", "r220", "r225", "r554", "r555", "r561", "r596", "r615", "r877", "r878" ] }, "us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentTax", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnauditedParenthetical" ], "lang": { "en-us": { "role": { "totalLabel": "Other Comprehensive Income (Loss), Foreign Currency Translation Adjustment, Tax, Total", "terseLabel": "Foreign currency translation, tax effect", "label": "Other Comprehensive Income (Loss), Foreign Currency Translation Adjustment, Tax", "documentation": "Amount of tax expense (benefit), after reclassification adjustments of gain (loss) on foreign currency translation adjustments, foreign currency transactions designated and effective as economic hedges of a net investment in a foreign entity and intra-entity foreign currency transactions that are of a long-term-investment nature." } } }, "auth_ref": [ "r4", "r8", "r551", "r560" ] }, "srt_MaximumMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "MaximumMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Maximum [Member]", "label": "Maximum [Member]" } } }, "auth_ref": [ "r362", "r363", "r364", "r365", "r427", "r584", "r636", "r671", "r672", "r725", "r726", "r727", "r728", "r732", "r740", "r741", "r748", "r755", "r765", "r771", "r918", "r959", "r960", "r961", "r962", "r963", "r964" ] }, "ecd_AllAdjToCompMember": { "xbrltype": "domainItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AllAdjToCompMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "All Adjustments to Compensation [Member]", "terseLabel": "All Adjustments to Compensation" } } }, "auth_ref": [ "r826" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Intrinsic value of options exercised", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period, Intrinsic Value", "documentation": "Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares." } } }, "auth_ref": [ "r452" ] }, "srt_RangeMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "RangeMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Statistical Measurement", "label": "Statistical Measurement [Domain]" } } }, "auth_ref": [ "r362", "r363", "r364", "r365", "r426", "r427", "r456", "r457", "r458", "r583", "r584", "r636", "r671", "r672", "r725", "r726", "r727", "r728", "r732", "r740", "r741", "r748", "r755", "r765", "r771", "r774", "r908", "r918", "r960", "r961", "r962", "r963", "r964" ] }, "us-gaap_SalesRevenueNetMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SalesRevenueNetMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Revenue Benchmark [Member]", "documentation": "Revenue from sale of product and rendering of service and other sources of income, when it serves as benchmark in concentration of risk calculation." } } }, "auth_ref": [ "r315", "r867" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "negatedLabel": "Number of options, Forfeited", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures in Period", "documentation": "The number of shares under options that were cancelled during the reporting period as a result of occurrence of a terminating event specified in contractual agreements pertaining to the stock option plan." } } }, "auth_ref": [ "r443" ] }, "us-gaap_CapitalizedContractCostNetCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CapitalizedContractCostNetCurrent", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Capitalized contract cost net, current", "label": "Capitalized Contract Cost, Net, Current", "documentation": "Amount, after accumulated amortization and accumulated impairment loss, of asset recognized from cost incurred to obtain or fulfill contract with customer; classified as current." } } }, "auth_ref": [ "r334" ] }, "us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansTax", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnauditedParenthetical" ], "lang": { "en-us": { "role": { "totalLabel": "Other Comprehensive (Income) Loss, Defined Benefit Plan, after Reclassification Adjustment, Tax, Total", "terseLabel": "Retirement related benefit plans, tax effect", "label": "Other Comprehensive (Income) Loss, Defined Benefit Plan, after Reclassification Adjustment, Tax", "documentation": "Amount, after reclassification adjustment, of tax (expense) benefit for (increase) decrease in accumulated other comprehensive income of defined benefit plan." } } }, "auth_ref": [ "r7", "r8", "r162" ] }, "ecd_PeoName": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PeoName", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "PEO Name", "terseLabel": "PEO Name" } } }, "auth_ref": [ "r826" ] }, "srt_MinimumMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "MinimumMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Minimum [Member]", "label": "Minimum [Member]" } } }, "auth_ref": [ "r362", "r363", "r364", "r365", "r427", "r584", "r636", "r671", "r672", "r725", "r726", "r727", "r728", "r732", "r740", "r741", "r748", "r755", "r765", "r771", "r918", "r959", "r960", "r961", "r962", "r963", "r964" ] }, "us-gaap_EmployeeStockOptionMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EmployeeStockOptionMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Employee Stock Option [Member]", "terseLabel": "Employee Stock Option", "documentation": "Share-based payment arrangement granting right, subject to vesting and other restrictions, to purchase or sell certain number of shares at predetermined price for specified period of time." } } }, "auth_ref": [] }, "ecd_NamedExecutiveOfficersFnTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "NamedExecutiveOfficersFnTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Named Executive Officers, Footnote [Text Block]", "terseLabel": "Named Executive Officers, Footnote" } } }, "auth_ref": [ "r826" ] }, "ecd_AdjToNonPeoNeoCompFnTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AdjToNonPeoNeoCompFnTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Adjustment to Non-PEO NEO Compensation Footnote [Text Block]", "terseLabel": "Adjustment to Non-PEO NEO Compensation Footnote" } } }, "auth_ref": [ "r826" ] }, "us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncreaseDecreaseInEmployeeRelatedLiabilities", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 12.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Increase (Decrease) in Employee Related Liabilities, Total", "terseLabel": "Accrued compensation and benefits", "label": "Increase (Decrease) in Employee Related Liabilities", "documentation": "The increase (decrease) during the reporting period in the aggregate amount of obligations related to services received from employees, such as accrued salaries and bonuses, payroll taxes and fringe benefits." } } }, "auth_ref": [ "r10" ] }, "us-gaap_ForeignCurrencyTransactionGainLossBeforeTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ForeignCurrencyTransactionGainLossBeforeTax", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureSupplementaryInformationScheduleOfOtherIncomeExpenseNetDetail": { "parentTag": "us-gaap_NonoperatingIncomeExpense", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSupplementaryInformationScheduleOfOtherIncomeExpenseNetDetail" ], "lang": { "en-us": { "role": { "negatedLabel": "Foreign exchange loss", "totalLabel": "Foreign Currency Transaction Gain (Loss), before Tax, Total", "label": "Gain (Loss), Foreign Currency Transaction, before Tax", "documentation": "Amount, before tax, of realized and unrealized gain (loss) from foreign currency transaction." } } }, "auth_ref": [ "r548", "r549", "r550", "r552", "r719" ] }, "srt_RestatementAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "RestatementAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails" ], "lang": { "en-us": { "role": { "label": "Revision of Prior Period [Axis]" } } }, "auth_ref": [ "r197", "r240", "r241", "r242", "r246", "r247", "r251", "r252", "r253", "r254", "r256", "r257", "r258", "r259", "r260", "r261", "r279", "r328", "r329", "r482", "r524", "r529", "r530", "r531", "r571", "r579", "r580", "r639", "r640", "r641", "r642", "r643", "r644", "r645", "r646", "r647", "r648", "r650" ] }, "altr_StockRepurchaseProgramRepurchaseAmount": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "StockRepurchaseProgramRepurchaseAmount", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Stock repurchase program, Repurchase amount", "label": "Stock Repurchase Program, Repurchase Amount", "documentation": "Stock repurchase program repurchase amount" } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Aggregate intrinsic value, Outstanding", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Intrinsic Value", "documentation": "Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding." } } }, "auth_ref": [ "r83" ] }, "altr_DocumentAndEntityInformationLineItems": { "xbrltype": "stringItemType", "nsuri": "http://www.altair.com/20230930", "localname": "DocumentAndEntityInformationLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Document And Entity Information [Line Items]", "label": "Document And Entity Information [Line Items]", "documentation": "Document and entity information." } } }, "auth_ref": [] }, "ecd_AdjToPeoCompFnTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AdjToPeoCompFnTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Adjustment To PEO Compensation, Footnote [Text Block]", "terseLabel": "Adjustment To PEO Compensation, Footnote" } } }, "auth_ref": [ "r826" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "periodStartLabel": "Number of options, Outstanding, Beginning Balance", "periodEndLabel": "Number of options, Outstanding, Ending Balance", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Number", "documentation": "Number of options outstanding, including both vested and non-vested options." } } }, "auth_ref": [ "r437", "r438" ] }, "srt_RestatementDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "RestatementDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails" ], "lang": { "en-us": { "role": { "label": "Revision of Prior Period [Domain]" } } }, "auth_ref": [ "r197", "r240", "r241", "r242", "r246", "r247", "r251", "r252", "r253", "r254", "r256", "r257", "r258", "r259", "r260", "r261", "r279", "r328", "r329", "r482", "r524", "r529", "r530", "r531", "r571", "r579", "r580", "r639", "r640", "r641", "r642", "r643", "r644", "r645", "r646", "r647", "r648", "r650" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "periodStartLabel": "Weighted average exercise price per share, Outstanding, Beginning Balance", "periodEndLabel": "Weighted average exercise price per share, Outstanding, Ending Balance", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Exercise Price", "documentation": "Weighted average price at which grantees can acquire the shares reserved for issuance under the stock option plan." } } }, "auth_ref": [ "r437", "r438" ] }, "altr_StockIssuedDuringPeriodValuePrivatePlacementNewIssues": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "StockIssuedDuringPeriodValuePrivatePlacementNewIssues", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "documentation": "Stock issued during period value private placement new issues.", "label": "Stock Issued During Period Value Private Placement New Issues", "terseLabel": "Issuance of common stock in private placement, net of issuance costs" } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Number of options, Exercisable", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Number", "documentation": "The number of shares into which fully or partially vested stock options outstanding as of the balance sheet date can be currently converted under the option plan." } } }, "auth_ref": [ "r439" ] }, "ecd_EquityValuationAssumptionDifferenceFnTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "EquityValuationAssumptionDifferenceFnTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Equity Valuation Assumption Difference, Footnote [Text Block]", "terseLabel": "Equity Valuation Assumption Difference, Footnote" } } }, "auth_ref": [ "r827" ] }, "altr_DebtInstrumentConvertibleThresholdBusinessDays": { "xbrltype": "integerItemType", "nsuri": "http://www.altair.com/20230930", "localname": "DebtInstrumentConvertibleThresholdBusinessDays", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, convertible, business days", "label": "Debt Instrument Convertible Threshold Business Days", "documentation": "Debt instrument convertible threshold business days." } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted average exercise price per share, Exercisable", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Exercise Price", "documentation": "The weighted-average price as of the balance sheet date at which grantees can acquire the shares reserved for issuance on vested portions of options outstanding and currently exercisable under the stock option plan." } } }, "auth_ref": [ "r439" ] }, "ecd_TotalShareholderRtnVsPeerGroupTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TotalShareholderRtnVsPeerGroupTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Total Shareholder Return Vs Peer Group [Text Block]", "terseLabel": "Total Shareholder Return Vs Peer Group" } } }, "auth_ref": [ "r831" ] }, "ecd_CompActuallyPaidVsNetIncomeTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "CompActuallyPaidVsNetIncomeTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Compensation Actually Paid vs. Net Income [Text Block]", "terseLabel": "Compensation Actually Paid vs. Net Income" } } }, "auth_ref": [ "r829" ] }, "ecd_CompActuallyPaidVsTotalShareholderRtnTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "CompActuallyPaidVsTotalShareholderRtnTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Compensation Actually Paid vs. Total Shareholder Return [Text Block]", "terseLabel": "Compensation Actually Paid vs. Total Shareholder Return" } } }, "auth_ref": [ "r828" ] }, "ecd_CompActuallyPaidVsCoSelectedMeasureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "CompActuallyPaidVsCoSelectedMeasureTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Compensation Actually Paid vs. Company Selected Measure [Text Block]", "terseLabel": "Compensation Actually Paid vs. Company Selected Measure" } } }, "auth_ref": [ "r830" ] }, "us-gaap_EmployeeRelatedLiabilitiesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EmployeeRelatedLiabilitiesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesCurrent", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Employee-related Liabilities, Current, Total", "terseLabel": "Accrued compensation and benefits", "label": "Employee-related Liabilities, Current", "documentation": "Total of the carrying values as of the balance sheet date of obligations incurred through that date and payable for obligations related to services received from employees, such as accrued salaries and bonuses, payroll taxes and fringe benefits. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer)." } } }, "auth_ref": [ "r27" ] }, "us-gaap_OperatingLeaseLiabilityCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OperatingLeaseLiabilityCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesCurrent", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Current portion of operating lease liabilities", "label": "Operating Lease, Liability, Current", "documentation": "Present value of lessee's discounted obligation for lease payments from operating lease, classified as current." } } }, "auth_ref": [ "r575" ] }, "us-gaap_StatementTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAcquisitionsTables", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Statement [Table]", "label": "Statement [Table]", "documentation": "Schedule reflecting a Statement of Income, Statement of Cash Flows, Statement of Financial Position, Statement of Shareholders' Equity and Other Comprehensive Income, or other statement as needed." } } }, "auth_ref": [ "r240", "r241", "r242", "r280", "r586", "r651", "r670", "r673", "r674", "r675", "r676", "r677", "r678", "r681", "r684", "r685", "r686", "r687", "r688", "r689", "r690", "r691", "r692", "r694", "r695", "r696", "r697", "r698", "r700", "r703", "r704", "r707", "r708", "r709", "r710", "r711", "r712", "r713", "r714", "r715", "r716", "r717", "r718", "r722", "r775" ] }, "us-gaap_AdditionalPaidInCapitalMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AdditionalPaidInCapitalMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Additional Paid-In Capital [Member]", "label": "Additional Paid-in Capital [Member]", "documentation": "Excess of issue price over par or stated value of the entity's capital stock and amounts received from other transactions involving the entity's stock or stockholders." } } }, "auth_ref": [ "r465", "r466", "r467", "r659", "r887", "r888", "r889", "r949", "r971" ] }, "us-gaap_AntidilutiveSecuritiesNameDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AntidilutiveSecuritiesNameDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareScheduleOfAntidilutiveSharesExcludedFromComputationOfDilutedNetLossPerShareDetail" ], "lang": { "en-us": { "role": { "label": "Antidilutive Securities, Name [Domain]", "documentation": "Incremental common shares attributable to securities that were not included in diluted earnings per share (EPS) because to do so would increase EPS amounts or decrease loss per share amounts for the period presented." } } }, "auth_ref": [ "r53" ] }, "us-gaap_LossContingenciesTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LossContingenciesTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingenciesAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Loss Contingencies [Table]", "label": "Loss Contingencies [Table]", "documentation": "Discloses the specific components (such as the nature, name, and date) of the loss contingency and gives an estimate of the possible loss or range of loss, or states that a reasonable estimate cannot be made. Excludes environmental contingencies, warranties and unconditional purchase obligations." } } }, "auth_ref": [ "r361", "r362", "r363", "r366", "r912", "r913" ] }, "us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementsByShareBasedPaymentAwardAwardTypeAndPlanNameDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail", "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "All Award Types", "terseLabel": "All Award Types", "documentation": "Award under share-based payment arrangement." } } }, "auth_ref": [ "r434", "r435", "r436", "r437", "r438", "r439", "r440", "r441", "r442", "r443", "r444", "r445", "r446", "r447", "r448", "r449", "r450", "r451", "r452", "r453", "r454", "r455", "r456", "r457", "r458", "r459" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Share Based Compensation Arrangement By Share Based Payment Award [Line Items]", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [ "r429", "r431", "r434", "r435", "r436", "r437", "r438", "r439", "r440", "r441", "r442", "r443", "r444", "r445", "r446", "r447", "r448", "r449", "r450", "r451", "r452", "r453", "r454", "r455", "r456", "r457", "r458", "r459" ] }, "us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PaymentsToAcquireBusinessesNetOfCashAcquired", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInInvestingActivities", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Payments to Acquire Businesses, Net of Cash Acquired, Total", "negatedLabel": "Payments for acquisition of businesses, net of cash acquired", "label": "Payments to Acquire Businesses, Net of Cash Acquired", "documentation": "The cash outflow associated with the acquisition of a business, net of the cash acquired from the purchase." } } }, "auth_ref": [ "r39" ] }, "us-gaap_DeferredIncomeTaxesAndTaxCredits": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DeferredIncomeTaxesAndTaxCredits", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 4.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Deferred Income Taxes and Tax Credits, Total", "label": "Deferred Income Taxes and Tax Credits", "terseLabel": "Deferred income taxes", "documentation": "Amount of deferred income tax expense (benefit) and income tax credits." } } }, "auth_ref": [ "r141" ] }, "us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": -1.0, "order": 9.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "negatedLabel": "Prepaid expenses and other current assets", "label": "Increase (Decrease) in Prepaid Expense and Other Assets", "documentation": "Amount of increase (decrease) in prepaid expenses, and assets classified as other." } } }, "auth_ref": [ "r10" ] }, "us-gaap_PreferredStockValue": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PreferredStockValue", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_StockholdersEquity", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Preferred stock ($0.0001 par value), authorized 45,000 shares, none issued and outstanding", "label": "Preferred Stock, Value, Issued", "documentation": "Aggregate par or stated value of issued nonredeemable preferred stock (or preferred stock redeemable solely at the option of the issuer). This item includes treasury stock repurchased by the entity. Note: elements for number of nonredeemable preferred shares, par value and other disclosure concepts are in another section within stockholders' equity." } } }, "auth_ref": [ "r120", "r604", "r769" ] }, "us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareScheduleOfAntidilutiveSharesExcludedFromComputationOfDilutedNetLossPerShareDetail" ], "lang": { "en-us": { "role": { "label": "Antidilutive Securities [Axis]", "documentation": "Information by type of antidilutive security." } } }, "auth_ref": [ "r53" ] }, "us-gaap_ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule Of Share Based Compensation Arrangements By Share Based Payment Award [Table]", "label": "Schedule of Share-Based Compensation Arrangements by Share-Based Payment Award [Table]", "documentation": "Disclosure of information about share-based payment arrangement." } } }, "auth_ref": [ "r429", "r431", "r434", "r435", "r436", "r437", "r438", "r439", "r440", "r441", "r442", "r443", "r444", "r445", "r446", "r447", "r448", "r449", "r450", "r451", "r452", "r453", "r454", "r455", "r456", "r457", "r458", "r459" ] }, "us-gaap_ProceedsFromDebtNetOfIssuanceCosts": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ProceedsFromDebtNetOfIssuanceCosts", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Net proceeds from issuance of costs", "label": "Proceeds from Debt, Net of Issuance Costs", "documentation": "The cash inflow from additional borrowings, net of cash paid to third parties in connection with debt origination." } } }, "auth_ref": [ "r228" ] }, "us-gaap_BuildingAndBuildingImprovementsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BuildingAndBuildingImprovementsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Building and Improvements [Member]", "label": "Building and Building Improvements [Member]", "documentation": "Facility held for productive use including, but not limited to, office, production, storage and distribution facilities and any addition, improvement, or renovation to the structure, for example, but not limited to, interior masonry, interior flooring, electrical, and plumbing." } } }, "auth_ref": [] }, "us-gaap_RepaymentsOfNotesPayable": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RepaymentsOfNotesPayable", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Repayments of notes payable", "label": "Repayments of Notes Payable", "documentation": "The cash outflow for a borrowing supported by a written promise to pay an obligation." } } }, "auth_ref": [ "r42" ] }, "us-gaap_StatementEquityComponentsAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementEquityComponentsAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Equity Components", "label": "Equity Components [Axis]", "documentation": "Information by component of equity." } } }, "auth_ref": [ "r14", "r35", "r196", "r221", "r222", "r223", "r240", "r241", "r242", "r247", "r258", "r260", "r280", "r325", "r333", "r409", "r465", "r466", "r467", "r481", "r482", "r511", "r513", "r514", "r515", "r516", "r519", "r529", "r554", "r556", "r557", "r558", "r559", "r561", "r580", "r639", "r640", "r641", "r659", "r722" ] }, "us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareScheduleOfAntidilutiveSharesExcludedFromComputationOfDilutedNetLossPerShareDetail" ], "lang": { "en-us": { "role": { "label": "Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [] }, "us-gaap_RetainedEarningsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RetainedEarningsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Accumulated Deficit [Member]", "label": "Retained Earnings [Member]", "documentation": "Accumulated undistributed earnings (deficit)." } } }, "auth_ref": [ "r196", "r240", "r241", "r242", "r247", "r258", "r260", "r325", "r333", "r465", "r466", "r467", "r481", "r482", "r511", "r514", "r515", "r519", "r529", "r639", "r641", "r659", "r971" ] }, "us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareScheduleOfAntidilutiveSharesExcludedFromComputationOfDilutedNetLossPerShareDetail" ], "lang": { "en-us": { "role": { "label": "Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount", "documentation": "Securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) or earnings per unit (EPU) in the future that were not included in the computation of diluted EPS or EPU because to do so would increase EPS or EPU amounts or decrease loss per share or unit amounts for the period presented." } } }, "auth_ref": [ "r276" ] }, "us-gaap_CommonStockCapitalSharesReservedForFutureIssuance": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonStockCapitalSharesReservedForFutureIssuance", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Common stock reserved for issuance", "label": "Common Stock, Capital Shares Reserved for Future Issuance", "documentation": "Aggregate number of common shares reserved for future issuance." } } }, "auth_ref": [ "r34" ] }, "us-gaap_OperatingLeaseLiabilityNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OperatingLeaseLiabilityNoncurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Liabilities", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Operating lease liabilities, net of current portion", "label": "Operating Lease, Liability, Noncurrent", "documentation": "Present value of lessee's discounted obligation for lease payments from operating lease, classified as noncurrent." } } }, "auth_ref": [ "r575" ] }, "us-gaap_AccumulatedDefinedBenefitPlansAdjustmentMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccumulatedDefinedBenefitPlansAdjustmentMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Retirement Related Benefit Plans [Member]", "label": "Accumulated Defined Benefit Plans Adjustment Attributable to Parent [Member]", "documentation": "Accumulated other comprehensive (income) loss related to defined benefit plans attributable to the parent." } } }, "auth_ref": [ "r6", "r13", "r37", "r877", "r878", "r879" ] }, "us-gaap_OtherAssetsNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherAssetsNoncurrent", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Assets", "weight": 1.0, "order": 6.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Other long-term assets", "label": "Other Assets, Noncurrent", "documentation": "Amount of noncurrent assets classified as other." } } }, "auth_ref": [ "r209" ] }, "us-gaap_EarningsPerShareAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EarningsPerShareAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Loss per share:", "label": "Earnings Per Share [Abstract]" } } }, "auth_ref": [] }, "us-gaap_SalesAndExciseTaxPayableCurrentAndNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SalesAndExciseTaxPayableCurrentAndNoncurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accrued VAT", "label": "Sales and Excise Tax Payable", "documentation": "Carrying value as of the balance sheet date of liabilities incurred through that date and payable for statutory sales and use taxes, including value added tax." } } }, "auth_ref": [ "r110" ] }, "altr_ScheduleOfOtherIntangibleAssetsTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ScheduleOfOtherIntangibleAssetsTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule of Other Intangible Assets", "label": "Schedule Of Other Intangible Assets Table [Text Block]", "documentation": "Schedule of Other Intangible Assets [Table Text Block]" } } }, "auth_ref": [] }, "us-gaap_ResearchAndDevelopmentExpense": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ResearchAndDevelopmentExpense", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_OperatingExpenses", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Research and Development Expense, Total", "terseLabel": "Research and development", "label": "Research and Development Expense", "documentation": "The aggregate costs incurred (1) in a planned search or critical investigation aimed at discovery of new knowledge with the hope that such knowledge will be useful in developing a new product or service, a new process or technique, or in bringing about a significant improvement to an existing product or process; or (2) to translate research findings or other knowledge into a plan or design for a new product or process or for a significant improvement to an existing product or process whether intended for sale or the entity's use, during the reporting period charged to research and development projects, including the costs of developing computer software up to the point in time of achieving technological feasibility, and costs allocated in accounting for a business combination to in-process projects deemed to have no alternative future use." } } }, "auth_ref": [ "r115", "r470", "r965" ] }, "us-gaap_AccumulatedTranslationAdjustmentMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccumulatedTranslationAdjustmentMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Foreign Currency Translation [Member]", "label": "Accumulated Foreign Currency Adjustment Attributable to Parent [Member]", "documentation": "Accumulated other comprehensive income (loss) resulting from foreign currency translation adjustments, foreign currency transactions designated and effective as economic hedges of a net investment in a foreign entity and intra-entity foreign currency transactions that are of a long-term-investment nature, attributable to the parent." } } }, "auth_ref": [ "r5", "r13", "r37", "r222", "r223", "r556", "r557", "r558", "r559", "r561", "r877" ] }, "us-gaap_EquityComponentDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EquityComponentDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Equity Component", "label": "Equity Component [Domain]", "documentation": "Components of equity are the parts of the total Equity balance including that which is allocated to common, preferred, treasury stock, retained earnings, etc." } } }, "auth_ref": [ "r14", "r196", "r221", "r222", "r223", "r240", "r241", "r242", "r247", "r258", "r260", "r280", "r325", "r333", "r409", "r465", "r466", "r467", "r481", "r482", "r511", "r513", "r514", "r515", "r516", "r519", "r529", "r554", "r556", "r557", "r558", "r559", "r561", "r580", "r639", "r640", "r641", "r659", "r722" ] }, "us-gaap_AccumulatedOtherComprehensiveIncomeLossTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccumulatedOtherComprehensiveIncomeLossTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accumulated Other Comprehensive Income Loss [Table]", "label": "Accumulated Other Comprehensive Income (Loss) [Table]", "documentation": "Disclosure of information about components of accumulated other comprehensive income (loss)." } } }, "auth_ref": [ "r221", "r222", "r554", "r556", "r557", "r558", "r559", "r561" ] }, "dei_EntityCentralIndexKey": { "xbrltype": "centralIndexKeyItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityCentralIndexKey", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Central Index Key", "label": "Entity Central Index Key", "documentation": "A unique 10-digit SEC-issued value to identify entities that have filed disclosures with the SEC. It is commonly abbreviated as CIK." } } }, "auth_ref": [ "r784" ] }, "us-gaap_PropertyPlantAndEquipmentTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PropertyPlantAndEquipmentTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Summary of Property and Equipment", "label": "Property, Plant and Equipment [Table Text Block]", "documentation": "Tabular disclosure of physical assets used in the normal conduct of business and not intended for resale. Includes, but is not limited to, balances by class of assets, depreciation and depletion expense and method used, including composite depreciation, and accumulated deprecation." } } }, "auth_ref": [ "r12" ] }, "us-gaap_AccumulatedOtherComprehensiveIncomeMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccumulatedOtherComprehensiveIncomeMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Accumulated Other Comprehensive Loss [Member]", "label": "AOCI Attributable to Parent [Member]", "documentation": "Accumulated increase (decrease) in equity from transactions and other events and circumstances from non-owner sources, attributable to the parent. Excludes net income (loss), and accumulated changes in equity from transactions resulting from investments by owners and distributions to owners." } } }, "auth_ref": [ "r3", "r13", "r37", "r513", "r516", "r580", "r639", "r640", "r877", "r878", "r879", "r887", "r888", "r889" ] }, "us-gaap_FairValueByBalanceSheetGroupingTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FairValueByBalanceSheetGroupingTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurementsAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Fair Value, by Balance Sheet Grouping [Table]", "documentation": "Disclosure of information about the fair value of financial instruments, including financial assets and financial liabilities, and the measurements of those instruments, assets, and liabilities." } } }, "auth_ref": [ "r100", "r101", "r102" ] }, "us-gaap_PutOptionMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PutOptionMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Put Option [Member]", "documentation": "A financial contract between two parties, the buyer and the seller (writer) of the option, where the buyer has the right but not the obligation to sell a commodity or financial instrument (the underlying instrument) to the seller (writer) at a certain time for a certain price (the strike price). The seller (writer) has the obligation to purchase the underlying asset at that strike price, if the buyer exercises the option." } } }, "auth_ref": [ "r729", "r730", "r731" ] }, "us-gaap_AccountsPayableCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccountsPayableCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesCurrent", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Accounts Payable, Current, Total", "terseLabel": "Accounts payable", "label": "Accounts Payable, Current", "documentation": "Carrying value as of the balance sheet date of liabilities incurred (and for which invoices have typically been received) and payable to vendors for goods and services received that are used in an entity's business. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer)." } } }, "auth_ref": [ "r23", "r769" ] }, "us-gaap_OtherLiabilitiesDisclosureAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherLiabilitiesDisclosureAbstract", "lang": { "en-us": { "role": { "label": "Other Liabilities Disclosure [Abstract]" } } }, "auth_ref": [] }, "us-gaap_ConvertibleDebtTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConvertibleDebtTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule of Convertible Notes", "label": "Convertible Debt [Table Text Block]", "documentation": "Tabular disclosure of convertible debt instrument. Includes, but is not limited to, principal amount and amortized premium or discount." } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1": { "xbrltype": "durationItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardRequisiteServicePeriod1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "verboseLabel": "Weighted average remaining service period", "terseLabel": "Stock-based compensation recognized service period", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Award Requisite Service Period", "documentation": "Estimated period over which an employee is required to provide service in exchange for the equity-based payment award, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days." } } }, "auth_ref": [ "r766" ] }, "us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule of Anti-dilutive shares excluded from the computation of diluted net loss per share", "label": "Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table Text Block]", "documentation": "Tabular disclosure of securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) in the future that were not included in the computation of diluted EPS because to do so would increase EPS amounts or decrease loss per share amounts for the period presented, by antidilutive securities." } } }, "auth_ref": [ "r53" ] }, "us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Consideration for the business acquisition", "label": "Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Finite-Lived Intangibles", "documentation": "The amount of identifiable intangible assets recognized as of the acquisition date." } } }, "auth_ref": [ "r91", "r92" ] }, "us-gaap_ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareScheduleOfAntidilutiveSharesExcludedFromComputationOfDilutedNetLossPerShareDetail" ], "lang": { "en-us": { "role": { "label": "Schedule of Antidilutive Securities Excluded from Computation of Earnings Per Share [Table]", "documentation": "Schedule for securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) in the future that were not included in the computation of diluted EPS because to do so would increase EPS amounts or decrease loss per share amounts for the period presented, by Antidilutive Securities." } } }, "auth_ref": [ "r53" ] }, "us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail": { "parentTag": "us-gaap_PropertyPlantAndEquipmentNet", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "periodEndLabel": "Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Ending Balance", "periodStartLabel": "Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Beginning Balance", "totalLabel": "Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Total", "terseLabel": "Less: accumulated depreciation and amortization", "label": "Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment", "documentation": "Amount of accumulated depreciation, depletion and amortization for physical assets used in the normal conduct of business to produce goods and services." } } }, "auth_ref": [ "r74", "r206", "r610" ] }, "us-gaap_ScheduleOfRestrictedCashAndCashEquivalentsTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfRestrictedCashAndCashEquivalentsTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Reconciliation of Cash, Cash Equivalents and Restricted Cash", "label": "Restrictions on Cash and Cash Equivalents [Table Text Block]", "documentation": "Tabular disclosure of cash and cash equivalents restricted as to withdrawal or usage." } } }, "auth_ref": [ "r19", "r164", "r967" ] }, "us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1": { "xbrltype": "durationItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted average period of recognition", "label": "Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition", "documentation": "Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days." } } }, "auth_ref": [ "r463" ] }, "us-gaap_IncreaseDecreaseInOperatingCapitalAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncreaseDecreaseInOperatingCapitalAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Changes in assets and liabilities:", "label": "Increase (Decrease) in Operating Capital [Abstract]" } } }, "auth_ref": [] }, "us-gaap_FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FairValueBalanceSheetGroupingFinancialStatementCaptionsLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurementsAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [] }, "us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccumulatedOtherComprehensiveIncomeLossNetOfTaxAbstract", "lang": { "en-us": { "role": { "label": "Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]" } } }, "auth_ref": [] }, "us-gaap_IncreaseDecreaseInAccountsPayable": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncreaseDecreaseInAccountsPayable", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 11.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Increase (Decrease) in Accounts Payable, Total", "terseLabel": "Accounts payable", "label": "Increase (Decrease) in Accounts Payable", "documentation": "The increase (decrease) during the reporting period in the aggregate amount of liabilities incurred (and for which invoices have typically been received) and payable to vendors for goods and services received that are used in an entity's business." } } }, "auth_ref": [ "r10" ] }, "us-gaap_ScheduleOfPropertyPlantAndEquipmentTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfPropertyPlantAndEquipmentTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule Of Property Plant And Equipment [Table]", "label": "Property, Plant and Equipment [Table]", "documentation": "Disclosure of information about physical assets used in the normal conduct of business and not intended for resale. Includes, but is not limited to, balances by class of assets, depreciation and depletion expense and method used, including composite depreciation, and accumulated deprecation." } } }, "auth_ref": [ "r12" ] }, "us-gaap_OperatingExpenses": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OperatingExpenses", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_OperatingIncomeLoss", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Total operating expenses", "label": "Operating Expenses", "documentation": "Generally recurring costs associated with normal operations except for the portion of these expenses which can be clearly related to production and included in cost of sales or services. Includes selling, general and administrative expense." } } }, "auth_ref": [] }, "us-gaap_EarningsPerShareBasic": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EarningsPerShareBasic", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Earnings Per Share, Basic, Total", "label": "Earnings Per Share, Basic", "terseLabel": "Net loss per share attributable to common stockholders, basic", "documentation": "The amount of net income (loss) for the period per each share of common stock or unit outstanding during the reporting period." } } }, "auth_ref": [ "r227", "r251", "r252", "r254", "r255", "r257", "r264", "r266", "r273", "r274", "r275", "r279", "r530", "r531", "r598", "r617", "r745" ] }, "us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule Of Employee Service Share Based Compensation Allocation Of Recognized Period Costs [Table]", "label": "Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table]", "documentation": "Disclosure of information about amount recognized for award under share-based payment arrangement. Includes, but is not limited to, amount expensed in statement of income or comprehensive income, amount capitalized in statement of financial position, and corresponding reporting line item in financial statements." } } }, "auth_ref": [ "r85" ] }, "us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Effect of exchange rate changes on cash, cash equivalents and restricted cash", "label": "Effect of Exchange Rate on Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Continuing Operations", "documentation": "Amount of increase (decrease) from effect of exchange rate changes on cash and cash equivalents, and cash and cash equivalents restricted to withdrawal or usage; held in foreign currencies. Excludes amounts for disposal group and discontinued operations. Cash includes, but is not limited to, currency on hand, demand deposits with banks or financial institutions, and other accounts with general characteristics of demand deposits. Cash equivalents include, but are not limited to, short-term, highly liquid investments that are both readily convertible to known amounts of cash and so near their maturity that they present insignificant risk of changes in value because of changes in interest rates." } } }, "auth_ref": [ "r553" ] }, "ecd_PeoActuallyPaidCompAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PeoActuallyPaidCompAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "PEO Actually Paid Compensation Amount", "terseLabel": "PEO Actually Paid Compensation Amount" } } }, "auth_ref": [ "r823" ] }, "us-gaap_RestructuringCharges": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RestructuringCharges", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Restructuring Charges, Total", "negatedLabel": "Restructuring expense", "terseLabel": "Restructuring charges", "label": "Restructuring Charges", "documentation": "Amount of expenses associated with exit or disposal activities pursuant to an authorized plan. Excludes expenses related to a discontinued operation or an asset retirement obligation." } } }, "auth_ref": [ "r11", "r356", "r357", "r909" ] }, "us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FiniteLivedIntangibleAssetsAccumulatedAmortization", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail": { "parentTag": "us-gaap_IntangibleAssetsNetExcludingGoodwill", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accumulated amortization", "label": "Finite-Lived Intangible Assets, Accumulated Amortization", "documentation": "Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life." } } }, "auth_ref": [ "r208", "r348" ] }, "us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Net increase (decrease) in cash, cash equivalents and restricted cash", "label": "Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect", "documentation": "Amount of increase (decrease) in cash, cash equivalents, and cash and cash equivalents restricted to withdrawal or usage; including effect from exchange rate change. Cash includes, but is not limited to, currency on hand, demand deposits with banks or financial institutions, and other accounts with general characteristics of demand deposits. Cash equivalents include, but are not limited to, short-term, highly liquid investments that are both readily convertible to known amounts of cash and so near their maturity that they present insignificant risk of changes in value because of changes in interest rates." } } }, "auth_ref": [ "r2", "r139" ] }, "us-gaap_BusinessCombinationContingentConsiderationLiability": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BusinessCombinationContingentConsiderationLiability", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Business acquisition, Contingent consideration liability", "totalLabel": "Business Combination, Contingent Consideration, Liability, Total", "verboseLabel": "Contingent consideration", "label": "Business Combination, Contingent Consideration, Liability", "documentation": "Amount of liability recognized arising from contingent consideration in a business combination." } } }, "auth_ref": [ "r1", "r95", "r498" ] }, "us-gaap_CapitalExpendituresIncurredButNotYetPaid": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CapitalExpendituresIncurredButNotYetPaid", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Property and equipment in accounts payable and other current liabilities", "label": "Capital Expenditures Incurred but Not yet Paid", "documentation": "Future cash outflow to pay for purchases of fixed assets that have occurred." } } }, "auth_ref": [ "r47", "r48", "r49" ] }, "us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationReconciliationOfCashCashEquivalentsAndRestrictedCashDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationReconciliationOfCashCashEquivalentsAndRestrictedCashDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Total cash, cash equivalents, and restricted cash", "periodStartLabel": "Cash, cash equivalents and restricted cash at beginning of year", "periodEndLabel": "Cash, cash equivalents and restricted cash at end of period", "label": "Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents", "documentation": "Amount of cash and cash equivalents, and cash and cash equivalents restricted to withdrawal or usage. Excludes amount for disposal group and discontinued operations. Cash includes, but is not limited to, currency on hand, demand deposits with banks or financial institutions, and other accounts with general characteristics of demand deposits. Cash equivalents include, but are not limited to, short-term, highly liquid investments that are both readily convertible to known amounts of cash and so near their maturity that they present insignificant risk of changes in value because of changes in interest rates." } } }, "auth_ref": [ "r45", "r139", "r234" ] }, "us-gaap_AccrualForTaxesOtherThanIncomeTaxesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccrualForTaxesOtherThanIncomeTaxesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 10.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Non-income tax liabilities", "label": "Accrual for Taxes Other than Income Taxes, Current", "documentation": "Carrying value as of the balance sheet date of obligations incurred and payable for real and property taxes. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer)." } } }, "auth_ref": [ "r27", "r88", "r744" ] }, "us-gaap_GoodwillAcquiredDuringPeriod": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "GoodwillAcquiredDuringPeriod", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsChangesInCarryingAmountOfGoodwillAttributableToSoftwareReportableSegmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Acquisitions", "label": "Goodwill, Acquired During Period", "documentation": "Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination." } } }, "auth_ref": [ "r338", "r749" ] }, "us-gaap_OperatingExpensesAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OperatingExpensesAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Operating expenses:", "label": "Operating Expenses [Abstract]" } } }, "auth_ref": [] }, "srt_LitigationCaseAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "LitigationCaseAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingenciesAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Litigation Case", "label": "Litigation Case [Axis]" } } }, "auth_ref": [] }, "us-gaap_InterestOnConvertibleDebtNetOfTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "InterestOnConvertibleDebtNetOfTax", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail": { "parentTag": "us-gaap_NetIncomeLossAttributableToParentDiluted", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Interest expense related to Convertible Notes, net of tax", "label": "Interest on Convertible Debt, Net of Tax", "documentation": "Amount, after tax, of interest recognized on convertible debt instrument excluding interest on principal required to be paid in cash." } } }, "auth_ref": [ "r265", "r271", "r275" ] }, "us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccumulatedOtherComprehensiveIncomeLossNetOfTax", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_StockholdersEquity", "weight": 1.0, "order": 4.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Accumulated Other Comprehensive Income (Loss), Net of Tax, Total", "terseLabel": "Accumulated other comprehensive loss", "label": "Accumulated Other Comprehensive Income (Loss), Net of Tax", "documentation": "Amount, after tax, of accumulated increase (decrease) in equity from transaction and other event and circumstance from nonowner source." } } }, "auth_ref": [ "r36", "r37", "r128", "r214", "r607", "r644", "r648" ] }, "us-gaap_NetCashProvidedByUsedInInvestingActivities": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetCashProvidedByUsedInInvestingActivities", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Net cash used in investing activities", "label": "Net Cash Provided by (Used in) Investing Activities", "documentation": "Amount of cash inflow (outflow) from investing activities, including discontinued operations. Investing activity cash flows include making and collecting loans and acquiring and disposing of debt or equity instruments and property, plant, and equipment and other productive assets." } } }, "auth_ref": [ "r231" ] }, "dei_EntityRegistrantName": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityRegistrantName", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Registrant Name", "label": "Entity Registrant Name", "documentation": "The exact name of the entity filing the report as specified in its charter, which is required by forms filed with the SEC." } } }, "auth_ref": [ "r784" ] }, "us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetCashProvidedByUsedInFinancingActivitiesAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "FINANCING ACTIVITIES:", "label": "Net Cash Provided by (Used in) Financing Activities [Abstract]" } } }, "auth_ref": [] }, "us-gaap_NetCashProvidedByUsedInFinancingActivities": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetCashProvidedByUsedInFinancingActivities", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "label": "Net Cash Provided by (Used in) Financing Activities", "totalLabel": "Net cash provided by financing activities", "documentation": "Amount of cash inflow (outflow) from financing activities, including discontinued operations. Financing activity cash flows include obtaining resources from owners and providing them with a return on, and a return of, their investment; borrowing money and repaying amounts borrowed, or settling the obligation; and obtaining and paying for other resources obtained from creditors on long-term credit." } } }, "auth_ref": [ "r231" ] }, "us-gaap_Assets": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "Assets", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "TOTAL ASSETS", "label": "Assets", "documentation": "Sum of the carrying amounts as of the balance sheet date of all assets that are recognized. Assets are probable future economic benefits obtained or controlled by an entity as a result of past transactions or events." } } }, "auth_ref": [ "r165", "r210", "r237", "r287", "r302", "r308", "r320", "r367", "r368", "r369", "r370", "r371", "r372", "r373", "r374", "r375", "r501", "r505", "r539", "r601", "r693", "r769", "r782", "r916", "r917", "r957" ] }, "us-gaap_InterestExpenseDebtExcludingAmortization": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "InterestExpenseDebtExcludingAmortization", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail": { "parentTag": "us-gaap_InterestExpenseDebt", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Contractual interest expense", "label": "Interest Expense, Debt, Excluding Amortization", "documentation": "Represents the portion of interest incurred in the period on debt arrangements that was charged against earnings, excluding amortization of debt discount (premium) and financing costs." } } }, "auth_ref": [ "r137", "r397", "r753", "r754" ] }, "ecd_AwardExrcPrice": { "xbrltype": "perShareItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardExrcPrice", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Exercise Price", "terseLabel": "Exercise Price" } } }, "auth_ref": [ "r848" ] }, "ecd_TradingArrAxis": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TradingArrAxis", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Trading Arrangement [Axis]", "terseLabel": "Trading Arrangement:" } } }, "auth_ref": [ "r851" ] }, "us-gaap_IncomeTaxDisclosureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeTaxDisclosureTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureIncomeTaxes" ], "lang": { "en-us": { "role": { "terseLabel": "Income Taxes", "label": "Income Tax Disclosure [Text Block]", "documentation": "The entire disclosure for income taxes. Disclosures may include net deferred tax liability or asset recognized in an enterprise's statement of financial position, net change during the year in the total valuation allowance, approximate tax effect of each type of temporary difference and carryforward that gives rise to a significant portion of deferred tax liabilities and deferred tax assets, utilization of a tax carryback, and tax uncertainties information." } } }, "auth_ref": [ "r238", "r471", "r476", "r477", "r478", "r486", "r488", "r491", "r492", "r657" ] }, "us-gaap_SegmentDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SegmentDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Segments", "label": "Segments [Domain]", "documentation": "Components of an entity that engage in business activities from which they may earn revenue and incur expenses, including transactions with other components of the same entity." } } }, "auth_ref": [ "r284", "r287", "r288", "r289", "r290", "r291", "r292", "r293", "r294", "r295", "r296", "r297", "r298", "r300", "r301", "r302", "r303", "r304", "r305", "r306", "r307", "r308", "r310", "r315", "r336", "r337", "r338", "r339", "r340", "r341", "r342", "r343", "r344", "r355", "r358", "r619", "r620", "r621", "r622", "r623", "r624", "r625", "r626", "r627", "r628", "r629", "r749", "r870", "r968" ] }, "ecd_TrdArrIndTitle": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TrdArrIndTitle", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Trading Arrangement, Individual Title", "terseLabel": "Title" } } }, "auth_ref": [ "r853" ] }, "us-gaap_GeneralAndAdministrativeExpense": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "GeneralAndAdministrativeExpense", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_OperatingExpenses", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "General and Administrative Expense, Total", "terseLabel": "General and administrative", "label": "General and Administrative Expense", "documentation": "The aggregate total of expenses of managing and administering the affairs of an entity, including affiliates of the reporting entity, which are not directly or indirectly associated with the manufacture, sale or creation of a product or product line." } } }, "auth_ref": [ "r134", "r704" ] }, "us-gaap_DebtDisclosureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtDisclosureTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebt" ], "lang": { "en-us": { "role": { "terseLabel": "Debt", "label": "Debt Disclosure [Text Block]", "documentation": "The entire disclosure for information about short-term and long-term debt arrangements, which includes amounts of borrowings under each line of credit, note payable, commercial paper issue, bonds indenture, debenture issue, own-share lending arrangements and any other contractual agreement to repay funds, and about the underlying arrangements, rationale for a classification as long-term, including repayment terms, interest rates, collateral provided, restrictions on use of assets and activities, whether or not in compliance with debt covenants, and other matters important to users of the financial statements, such as the effects of refinancing and noncompliance with debt covenants." } } }, "auth_ref": [ "r150", "r236", "r376", "r382", "r383", "r384", "r385", "r386", "r387", "r392", "r399", "r400", "r402" ] }, "ecd_Rule10b51ArrAdoptedFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "Rule10b51ArrAdoptedFlag", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Rule 10b5-1 Arrangement Adopted [Flag]", "terseLabel": "Rule 10b5-1 Arrangement Adopted" } } }, "auth_ref": [ "r852" ] }, "us-gaap_OtherNoncashIncomeExpense": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherNoncashIncomeExpense", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": -1.0, "order": 7.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Other Noncash Income (Expense), Total", "negatedLabel": "Other, net", "label": "Other Noncash Income (Expense)", "documentation": "Amount of income (expense) included in net income that results in no cash inflow (outflow), classified as other." } } }, "auth_ref": [ "r141" ] }, "us-gaap_CostOfSalesMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CostOfSalesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Cost of revenue - software [Member]", "label": "Cost of Sales [Member]", "documentation": "Primary financial statement caption encompassing cost of sales." } } }, "auth_ref": [] }, "ecd_AwardGrantDateFairValue": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardGrantDateFairValue", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Grant Date Fair Value", "terseLabel": "Fair Value as of Grant Date" } } }, "auth_ref": [ "r849" ] }, "us-gaap_Depreciation": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "Depreciation", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Depreciation, Total", "terseLabel": "Depreciation expense, including amortization of right-of-use assets under finance leases", "label": "Depreciation", "documentation": "The amount of expense recognized in the current period that reflects the allocation of the cost of tangible assets over the assets' useful lives. Includes production and non-production related depreciation." } } }, "auth_ref": [ "r11", "r73" ] }, "ecd_UndrlygSecurityMktPriceChngPct": { "xbrltype": "pureItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "UndrlygSecurityMktPriceChngPct", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Underlying Security Market Price Change, Percent", "terseLabel": "Underlying Security Market Price Change" } } }, "auth_ref": [ "r850" ] }, "altr_SupplementaryInformationTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SupplementaryInformationTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Supplementary Information", "label": "Supplementary Information [Text Block]", "documentation": "Supplementary information." } } }, "auth_ref": [] }, "us-gaap_OtherIntangibleAssetsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherIntangibleAssetsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Other Intangibles [Member]", "label": "Other Intangible Assets [Member]", "documentation": "Intangible assets classified as other." } } }, "auth_ref": [] }, "ecd_InsiderTradingArrLineItems": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "InsiderTradingArrLineItems", "lang": { "en-us": { "role": { "label": "Insider Trading Arrangements [Line Items]", "terseLabel": "Insider Trading Arrangements:" } } }, "auth_ref": [ "r851" ] }, "us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited" ], "lang": { "en-us": { "role": { "label": "Other Comprehensive Income (Loss), Net of Tax [Abstract]", "terseLabel": "Other comprehensive (loss) income, net of tax:" } } }, "auth_ref": [] }, "us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "label": "Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract]", "terseLabel": "Adjustments to reconcile net loss to net cash provided by operating activities:" } } }, "auth_ref": [] }, "us-gaap_ContractWithCustomerRefundLiabilityCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ContractWithCustomerRefundLiabilityCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 7.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Billings in excess of cost", "label": "Contract with Customer, Refund Liability, Current", "documentation": "Amount of liability for consideration received or receivable from customer which is not included in transaction price, when consideration is expected to be refunded to customer, classified as current." } } }, "auth_ref": [ "r921" ] }, "altr_StockIssuedDuringPeriodSharesPrivatePlacementNewIssues": { "xbrltype": "sharesItemType", "nsuri": "http://www.altair.com/20230930", "localname": "StockIssuedDuringPeriodSharesPrivatePlacementNewIssues", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "documentation": "Stock issued during period shares private placement new issues.", "label": "Stock Issued During Period Shares Private Placement New Issues", "terseLabel": "Issuance of common stock in private placement, net of issuance costs (in shares)" } } }, "auth_ref": [] }, "us-gaap_ContractWithCustomerAssetNetCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ContractWithCustomerAssetNetCurrent", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Contract with Customer, Asset, after Allowance for Credit Loss, Current, Total", "terseLabel": "Contract assets", "label": "Contract with Customer, Asset, after Allowance for Credit Loss, Current", "documentation": "Amount, after allowance for credit loss, of right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time, classified as current." } } }, "auth_ref": [ "r410", "r412", "r423" ] }, "us-gaap_OtherComprehensiveIncomeLossTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherComprehensiveIncomeLossTax", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail": { "parentTag": "us-gaap_OtherComprehensiveIncomeLossNetOfTax", "weight": -1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Other Comprehensive Income (Loss), Tax, Total", "negatedLabel": "Tax effects", "label": "Other Comprehensive Income (Loss), Tax", "documentation": "Amount of tax expense (benefit) allocated to other comprehensive income (loss)." } } }, "auth_ref": [ "r8", "r221", "r225", "r474", "r489", "r490", "r554", "r558", "r561", "r596", "r615" ] }, "us-gaap_StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockRepurchaseProgramRemainingNumberOfSharesAuthorizedToBeRepurchased", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Stock repurchase program, Repurchase Shares", "label": "Stock Repurchase Program, Remaining Number of Shares Authorized to be Repurchased", "documentation": "The remaining number of shares authorized to be repurchased by an entity's Board of Directors under a stock repurchase plan." } } }, "auth_ref": [] }, "us-gaap_CommonStockMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonStockMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Common Stock [Member]", "label": "Common Stock [Member]", "documentation": "Stock that is subordinate to all other stock of the issuer." } } }, "auth_ref": [ "r772", "r773", "r774", "r776", "r777", "r778", "r779", "r887", "r888", "r949", "r969", "r971" ] }, "us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAcquisitionsTables" ], "lang": { "en-us": { "role": { "terseLabel": "Summary of Amounts of Identified Assets Acquired and Liabilities Assumed at the Acquisition Date", "label": "Schedule of Recognized Identified Assets Acquired and Liabilities Assumed [Table Text Block]", "documentation": "Tabular disclosure of the amounts recognized as of the acquisition date for each major class of assets acquired and liabilities assumed. May include but not limited to the following: (a) acquired receivables; (b) contingencies recognized at the acquisition date; and (c) the fair value of noncontrolling interests in the acquiree." } } }, "auth_ref": [ "r159" ] }, "us-gaap_PropertyPlantAndEquipmentGross": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PropertyPlantAndEquipmentGross", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail": { "parentTag": "us-gaap_PropertyPlantAndEquipmentNet", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Total property and equipment", "periodEndLabel": "Property, Plant and Equipment, Gross, Ending Balance", "periodStartLabel": "Property, Plant and Equipment, Gross, Beginning Balance", "totalLabel": "Property, Plant and Equipment, Gross, Total", "label": "Property, Plant and Equipment, Gross", "documentation": "Amount before accumulated depreciation, depletion and amortization of physical assets used in the normal conduct of business and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, and furniture and fixtures." } } }, "auth_ref": [ "r148", "r205", "r611" ] }, "us-gaap_AllOtherSegmentsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AllOtherSegmentsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "All Other [Member]", "label": "Other Segments [Member]", "documentation": "Operating segments classified as other. Excludes intersegment elimination and reconciling items." } } }, "auth_ref": [ "r284", "r300", "r301", "r302", "r303", "r304" ] }, "us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2": { "xbrltype": "durationItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsOutstandingWeightedAverageRemainingContractualTerm2", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted average remaining contractual term (years), Outstanding", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term", "documentation": "Weighted average remaining contractual term for option awards outstanding, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days." } } }, "auth_ref": [ "r157" ] }, "us-gaap_RevenueFromContractWithCustomerAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RevenueFromContractWithCustomerAbstract", "lang": { "en-us": { "role": { "label": "Revenue from Contract with Customer [Abstract]" } } }, "auth_ref": [] }, "us-gaap_ConcentrationRiskTypeDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConcentrationRiskTypeDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Concentration Risk Type [Domain]", "documentation": "For an entity that discloses a concentration risk as a percentage of some financial balance or benchmark, identifies the type (for example, asset, liability, net assets, geographic, customer, employees, supplier, lender) of the concentration." } } }, "auth_ref": [ "r54", "r56", "r103", "r104", "r315", "r738" ] }, "us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1": { "xbrltype": "durationItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableWeightedAverageRemainingContractualTerm1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted average remaining contractual term (years), Exercisable", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term", "documentation": "Weighted average remaining contractual term for vested portions of options outstanding and currently exercisable or convertible, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days." } } }, "auth_ref": [ "r83" ] }, "us-gaap_RevenueFromContractWithCustomerTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RevenueFromContractWithCustomerTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomers" ], "lang": { "en-us": { "role": { "terseLabel": "Revenue from Contracts with Customers", "label": "Revenue from Contract with Customer [Text Block]", "documentation": "The entire disclosure of revenue from contract with customer to transfer good or service and to transfer nonfinancial asset. Includes, but is not limited to, disaggregation of revenue, credit loss recognized from contract with customer, judgment and change in judgment related to contract with customer, and asset recognized from cost incurred to obtain or fulfill contract with customer. Excludes insurance and lease contracts." } } }, "auth_ref": [ "r192", "r413", "r414", "r415", "r416", "r417", "r418", "r419", "r420", "r425" ] }, "us-gaap_PropertyPlantAndEquipmentAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PropertyPlantAndEquipmentAbstract", "lang": { "en-us": { "role": { "label": "Property, Plant and Equipment [Abstract]" } } }, "auth_ref": [] }, "altr_ConvertibleNotesHoldersConversionRightsUnderCircumstancesOneMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ConvertibleNotesHoldersConversionRightsUnderCircumstancesOneMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Convertible Notes, Holders Conversion Rights, Circumstances 1 [Member]", "label": "Convertible Notes Holders Conversion Rights Under Circumstances One [Member]", "documentation": "Convertible notes, holders conversion rights under circumstances 1." } } }, "auth_ref": [] }, "ecd_AllTradingArrangementsMember": { "xbrltype": "domainItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AllTradingArrangementsMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "All Trading Arrangements [Member]", "terseLabel": "All Trading Arrangements" } } }, "auth_ref": [ "r851" ] }, "us-gaap_PropertyPlantAndEquipmentNet": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PropertyPlantAndEquipmentNet", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Assets", "weight": 1.0, "order": 1.0 }, "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Property and equipment, net", "terseLabel": "Property and equipment, net", "label": "Property, Plant and Equipment, Net", "documentation": "Amount after accumulated depreciation, depletion and amortization of physical assets used in the normal conduct of business to produce goods and services and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, and furniture and fixtures." } } }, "auth_ref": [ "r12", "r600", "r611", "r769" ] }, "us-gaap_CostOfGoodsAndServicesSold": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CostOfGoodsAndServicesSold", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_GrossProfit", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Cost of Goods and Services Sold, Total", "terseLabel": "Total cost of revenue", "label": "Cost of Goods and Services Sold", "documentation": "The aggregate costs related to goods produced and sold and services rendered by an entity during the reporting period. This excludes costs incurred during the reporting period related to financial services rendered and other revenue generating activities." } } }, "auth_ref": [ "r133", "r586" ] }, "us-gaap_GeneralAndAdministrativeExpenseMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "GeneralAndAdministrativeExpenseMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail" ], "lang": { "en-us": { "role": { "terseLabel": "General and administrative [Member]", "label": "General and Administrative Expense [Member]", "documentation": "Primary financial statement caption encompassing general and administrative expense." } } }, "auth_ref": [ "r131" ] }, "us-gaap_DebtConversionByUniqueDescriptionAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtConversionByUniqueDescriptionAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt Conversion Description", "label": "Debt Conversion Description [Axis]", "documentation": "Information by description of debt issuances converted in a noncash or part noncash transaction." } } }, "auth_ref": [ "r47", "r49" ] }, "ecd_Rule10b51ArrTrmntdFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "Rule10b51ArrTrmntdFlag", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Rule 10b5-1 Arrangement Terminated [Flag]", "terseLabel": "Rule 10b5-1 Arrangement Terminated" } } }, "auth_ref": [ "r852" ] }, "us-gaap_TypeOfAdoptionMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "TypeOfAdoptionMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accounting Standards Update", "label": "Accounting Standards Update [Domain]", "documentation": "Amendment to accounting standards." } } }, "auth_ref": [ "r194", "r195", "r196", "r197", "r198", "r246", "r247", "r248", "r250", "r261", "r318", "r319", "r322", "r323", "r324", "r325", "r328", "r329", "r330", "r331", "r332", "r333", "r353", "r465", "r466", "r467", "r479", "r480", "r481", "r482", "r495", "r496", "r497", "r508", "r509", "r510", "r511", "r512", "r513", "r514", "r515", "r516", "r518", "r519", "r520", "r521", "r522", "r523", "r524", "r525", "r526", "r528", "r529", "r530", "r531", "r532", "r537", "r538", "r541", "r542", "r543", "r544", "r563", "r564", "r568", "r569", "r570", "r571", "r576", "r577", "r578", "r579", "r580", "r588", "r589", "r590", "r637", "r638", "r639", "r640", "r641", "r642", "r643", "r644", "r645", "r646", "r647", "r648" ] }, "us-gaap_OtherSundryLiabilitiesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherSundryLiabilitiesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 11.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Other current liabilities", "label": "Other Sundry Liabilities, Current", "documentation": "Obligations not otherwise itemized or categorized in the footnotes to the financial statements that are due within one year or operating cycle, if longer, from the balance sheet date." } } }, "auth_ref": [ "r27", "r75" ] }, "us-gaap_DebtConversionNameDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtConversionNameDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt Conversion, Name", "label": "Debt Conversion, Name [Domain]", "documentation": "The name of the original debt issue that has been converted in a noncash (or part noncash) transaction during the accounting period. \"Part noncash\" refers to that portion of the transaction not resulting in cash receipts or cash payments in the period." } } }, "auth_ref": [ "r47", "r49" ] }, "us-gaap_PlanNameAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PlanNameAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Plan Name", "label": "Plan Name [Axis]", "documentation": "Information by plan name for share-based payment arrangement." } } }, "auth_ref": [ "r923", "r924", "r925", "r926", "r927", "r928", "r929", "r930", "r931", "r932", "r933", "r934", "r935", "r936", "r937", "r938", "r939", "r940", "r941", "r942", "r943", "r944", "r945", "r946", "r947", "r948" ] }, "ecd_NonRule10b51ArrAdoptedFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "NonRule10b51ArrAdoptedFlag", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Non-Rule 10b5-1 Arrangement Adopted [Flag]", "terseLabel": "Non-Rule 10b5-1 Arrangement Adopted" } } }, "auth_ref": [ "r852" ] }, "us-gaap_CustomerRelationshipsMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CustomerRelationshipsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Customer Relationships [Member]", "label": "Customer Relationships [Member]", "documentation": "Customer relationship that exists between an entity and its customer, for example, but not limited to, tenant relationships." } } }, "auth_ref": [ "r94" ] }, "dei_EntityAddressAddressLine1": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityAddressAddressLine1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Address, Address Line One", "label": "Entity Address, Address Line One", "documentation": "Address Line 1 such as Attn, Building Name, Street Name" } } }, "auth_ref": [] }, "ecd_NonRule10b51ArrTrmntdFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "NonRule10b51ArrTrmntdFlag", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Non-Rule 10b5-1 Arrangement Terminated [Flag]", "terseLabel": "Non-Rule 10b5-1 Arrangement Terminated" } } }, "auth_ref": [ "r852" ] }, "us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Summary of Stock-Based Compensation", "label": "Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table Text Block]", "documentation": "Tabular disclosure of allocation of amount expensed and capitalized for award under share-based payment arrangement to statement of income or comprehensive income and statement of financial position. Includes, but is not limited to, corresponding line item in financial statement." } } }, "auth_ref": [ "r85" ] }, "altr_TwoThousandTwentyOneAcquisitionsMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "TwoThousandTwentyOneAcquisitionsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "2021 Acquisitions [Member]", "label": "Two Thousand Twenty One Acquisitions [Member]", "documentation": "Two thousand twenty one acquisitions." } } }, "auth_ref": [] }, "ecd_MtrlTermsOfTrdArrTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "MtrlTermsOfTrdArrTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Material Terms of Trading Arrangement [Text Block]", "terseLabel": "Material Terms of Trading Arrangement" } } }, "auth_ref": [ "r852" ] }, "us-gaap_ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentsTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfErrorCorrectionsAndPriorPeriodAdjustmentsTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule of Changes Made to the Consolidated Statement of Income", "label": "Schedule of Error Corrections and Prior Period Adjustments [Table Text Block]", "documentation": "Tabular disclosure of prior period adjustments to previously issued financial statements including (1) the effect of the correction on each financial statement line item and any per-share amounts affected for each prior period presented (2) the cumulative effect of the change on retained earnings or other appropriate components of equity or net assets in the statement of financial position, as of the beginning of the earliest period presented, and (3) the effect of the prior period adjustments (both gross and net of applicable income tax) on the net income of each prior period presented in the entity's annual report for the year in which the adjustments are made." } } }, "auth_ref": [ "r50", "r51", "r52" ] }, "ecd_TradingArrByIndTable": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TradingArrByIndTable", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Trading Arrangements, by Individual [Table]", "terseLabel": "Trading Arrangements, by Individual" } } }, "auth_ref": [ "r853" ] }, "dei_EntityAddressCityOrTown": { "xbrltype": "normalizedStringItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityAddressCityOrTown", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Address, City or Town", "label": "Entity Address, City or Town", "documentation": "Name of the City or Town" } } }, "auth_ref": [] }, "us-gaap_PlanNameDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PlanNameDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Plan Name", "label": "Plan Name [Domain]", "documentation": "Plan name for share-based payment arrangement." } } }, "auth_ref": [ "r923", "r924", "r925", "r926", "r927", "r928", "r929", "r930", "r931", "r932", "r933", "r934", "r935", "r936", "r937", "r938", "r939", "r940", "r941", "r942", "r943", "r944", "r945", "r946", "r947", "r948" ] }, "us-gaap_PropertyPlantAndEquipmentTypeDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PropertyPlantAndEquipmentTypeDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Long-Lived Tangible Asset", "label": "Long-Lived Tangible Asset [Domain]", "documentation": "Listing of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale. Examples include land, buildings, machinery and equipment, and other types of furniture and equipment including, but not limited to, office equipment, furniture and fixtures, and computer equipment and software." } } }, "auth_ref": [ "r148" ] }, "us-gaap_ScheduleOfGoodwillTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfGoodwillTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsTables" ], "lang": { "en-us": { "role": { "terseLabel": "Changes in Carrying Amount of Goodwill Attributable to Software Reporting Segment", "label": "Schedule of Goodwill [Table Text Block]", "documentation": "Tabular disclosure of goodwill by reportable segment and in total which includes a rollforward schedule." } } }, "auth_ref": [ "r749", "r897", "r898", "r899", "r900", "r901", "r902", "r903", "r904", "r905", "r906", "r907" ] }, "ecd_TrdArrIndName": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TrdArrIndName", "presentation": [ "http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements" ], "lang": { "en-us": { "role": { "label": "Trading Arrangement, Individual Name", "terseLabel": "Name" } } }, "auth_ref": [ "r853" ] }, "dei_EntityAddressStateOrProvince": { "xbrltype": "stateOrProvinceItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityAddressStateOrProvince", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Address, State or Province", "label": "Entity Address, State or Province", "documentation": "Name of the state or province." } } }, "auth_ref": [] }, "us-gaap_CommitmentsAndContingenciesDisclosureAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommitmentsAndContingenciesDisclosureAbstract", "lang": { "en-us": { "role": { "label": "Commitments and Contingencies Disclosure [Abstract]" } } }, "auth_ref": [] }, "us-gaap_ConversionOfStockSharesConverted1": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConversionOfStockSharesConverted1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Conversion from Class B to Class A common stock", "label": "Conversion of Stock, Shares Converted", "documentation": "The number of shares converted in a noncash (or part noncash) transaction. Noncash is defined as transactions during a period that do not result in cash receipts or cash payments in the period. \"Part noncash\" refers to that portion of the transaction not resulting in cash receipts or cash payments in the period." } } }, "auth_ref": [ "r47", "r48", "r49" ] }, "us-gaap_AwardTypeAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AwardTypeAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail", "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Type [Axis]", "terseLabel": "Award Type", "documentation": "Information by type of award under share-based payment arrangement." } } }, "auth_ref": [ "r434", "r435", "r436", "r437", "r438", "r439", "r440", "r441", "r442", "r443", "r444", "r445", "r446", "r447", "r448", "r449", "r450", "r451", "r452", "r453", "r454", "r455", "r456", "r457", "r458", "r459" ] }, "altr_LineOfCreditFacilityIncreaseInBorrowingCapacity": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "LineOfCreditFacilityIncreaseInBorrowingCapacity", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Increase in line of credit borrowing capacity", "label": "Line Of Credit Facility Increase In Borrowing Capacity", "documentation": "Line Of Credit Facility Increase In Borrowing Capacity" } } }, "auth_ref": [] }, "us-gaap_DisaggregationOfRevenueTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DisaggregationOfRevenueTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule of Disaggregation of Revenue", "label": "Disaggregation of Revenue [Table Text Block]", "documentation": "Tabular disclosure of disaggregation of revenue into categories depicting how nature, amount, timing, and uncertainty of revenue and cash flows are affected by economic factor." } } }, "auth_ref": [ "r920" ] }, "altr_RevenueFromContractsWithCustomersTable": { "xbrltype": "stringItemType", "nsuri": "http://www.altair.com/20230930", "localname": "RevenueFromContractsWithCustomersTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail1", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Revenue From Contracts With Customers [Table]", "documentation": "Revenue from contracts with customers." } } }, "auth_ref": [] }, "us-gaap_BalanceSheetLocationDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BalanceSheetLocationDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Balance Sheet Location", "label": "Balance Sheet Location [Domain]", "documentation": "Location in the balance sheet (statement of financial position)." } } }, "auth_ref": [ "r96", "r97" ] }, "us-gaap_StockIssuedDuringPeriodSharesAcquisitions": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockIssuedDuringPeriodSharesAcquisitions", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "label": "Stock Issued During Period, Shares, Acquisitions", "terseLabel": "Issuance of common stock for acquisitions (in shares)", "documentation": "Number of shares of stock issued during the period pursuant to acquisitions." } } }, "auth_ref": [ "r120", "r121", "r155" ] }, "altr_ConvertibleSharesMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ConvertibleSharesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareScheduleOfAntidilutiveSharesExcludedFromComputationOfDilutedNetLossPerShareDetail" ], "lang": { "en-us": { "role": { "label": "Convertible Shares [Member]", "documentation": "Convertible shares." } } }, "auth_ref": [] }, "altr_RevenueFromContractsWithCustomersLineItems": { "xbrltype": "stringItemType", "nsuri": "http://www.altair.com/20230930", "localname": "RevenueFromContractsWithCustomersLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail1", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Revenue From Contracts With Customers [Line Items]", "label": "Revenue From Contracts With Customers [Line Items]", "documentation": "Revenue from contracts with customers." } } }, "auth_ref": [] }, "us-gaap_LiabilitiesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LiabilitiesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Liabilities", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Total current liabilities", "label": "Liabilities, Current", "documentation": "Total obligations incurred as part of normal operations that are expected to be paid during the following twelve months or within one business cycle, if longer." } } }, "auth_ref": [ "r28", "r203", "r237", "r320", "r367", "r368", "r369", "r370", "r371", "r372", "r373", "r374", "r375", "r502", "r505", "r506", "r539", "r769", "r916", "r957", "r958" ] }, "us-gaap_LineOfCredit": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LineOfCredit", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Long-Term Line of Credit, Total", "terseLabel": "Loan outstanding", "label": "Long-Term Line of Credit", "documentation": "The carrying value as of the balance sheet date of the current and noncurrent portions of long-term obligations drawn from a line of credit, which is a bank's commitment to make loans up to a specific amount. Examples of items that might be included in the application of this element may consist of letters of credit, standby letters of credit, and revolving credit arrangements, under which borrowings can be made up to a maximum amount as of any point in time conditional on satisfaction of specified terms before, as of and after the date of drawdowns on the line. Includes short-term obligations that would normally be classified as current liabilities but for which (a) postbalance sheet date issuance of a long term obligation to refinance the short term obligation on a long term basis, or (b) the enterprise has entered into a financing agreement that clearly permits the enterprise to refinance the short-term obligation on a long term basis and the following conditions are met (1) the agreement does not expire within 1 year and is not cancelable by the lender except for violation of an objectively determinable provision, (2) no violation exists at the BS date, and (3) the lender has entered into the financing agreement is expected to be financially capable of honoring the agreement." } } }, "auth_ref": [ "r22", "r169", "r966" ] }, "us-gaap_DebtInstrumentConvertibleConversionPrice1": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentConvertibleConversionPrice1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument convertible initial conversion price per share of common stock", "label": "Debt Instrument, Convertible, Conversion Price", "documentation": "The price per share of the conversion feature embedded in the debt instrument." } } }, "auth_ref": [ "r151", "r379" ] }, "altr_RightOfUseAssetsUnderFinanceLeasesMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "RightOfUseAssetsUnderFinanceLeasesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Right-of-Use Assets Under Finance Leases [Member]", "label": "Right Of Use Assets Under Finance Leases [Member]", "documentation": "Right-of-use assets under finance leases." } } }, "auth_ref": [] }, "us-gaap_LossContingencyDamagesAwardedValue": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LossContingencyDamagesAwardedValue", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingenciesAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Loss contingency damages awarded value", "label": "Loss Contingency, Damages Awarded, Value", "documentation": "Amount of damages awarded to the plaintiff in the legal matter." } } }, "auth_ref": [ "r911", "r912", "r913" ] }, "altr_ConvertibleSeniorNotesDueInTwoThousandTwentyFourAndTwoThousandTwentySevenMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ConvertibleSeniorNotesDueInTwoThousandTwentyFourAndTwoThousandTwentySevenMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Convertible Senior Notes Due in 2024 and 2027 [Member]", "label": "Convertible Senior Notes Due In Two Thousand Twenty Four And Two Thousand Twenty Seven [Member]", "documentation": "Convertible Senior Notes Due In Two Thousand Twenty Four And Two Thousand Twenty Seven." } } }, "auth_ref": [] }, "us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardNetOfForfeitures": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockIssuedDuringPeriodSharesRestrictedStockAwardNetOfForfeitures", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Stock Issued During Period, Shares, Restricted Stock Award, Net of Forfeitures, Total", "terseLabel": "Vesting of restricted stock (in shares)", "label": "Stock Issued During Period, Shares, Restricted Stock Award, Net of Forfeitures", "documentation": "Number of shares issued during the period related to Restricted Stock Awards, net of any shares forfeited." } } }, "auth_ref": [ "r14", "r120", "r121", "r155" ] }, "us-gaap_LiabilitiesCurrentAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LiabilitiesCurrentAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "CURRENT LIABILITIES:", "label": "Liabilities, Current [Abstract]" } } }, "auth_ref": [] }, "altr_DebtInstrumentPrincipalOutstanding": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "DebtInstrumentPrincipalOutstanding", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument principal outstanding", "label": "Debt Instrument Principal Outstanding", "documentation": "Debt instrument principal outstanding." } } }, "auth_ref": [] }, "us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockIssuedDuringPeriodSharesStockOptionsExercised", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "negatedLabel": "Number of options, Exercised", "terseLabel": "Exercise of stock options (in shares)", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period", "documentation": "Number of share options (or share units) exercised during the current period." } } }, "auth_ref": [ "r14", "r120", "r121", "r155", "r442" ] }, "us-gaap_CommitmentsAndContingenciesDisclosureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommitmentsAndContingenciesDisclosureTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingencies" ], "lang": { "en-us": { "role": { "terseLabel": "Commitments and Contingencies", "label": "Commitments and Contingencies Disclosure [Text Block]", "documentation": "The entire disclosure for commitments and contingencies." } } }, "auth_ref": [ "r149", "r359", "r360", "r739", "r910" ] }, "altr_CashPaidForRepurchaseAndRetirementOfCommonStock": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "CashPaidForRepurchaseAndRetirementOfCommonStock", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInFinancingActivities", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "documentation": "Cash paid for repurchase and retirement of common stock.", "label": "Cash Paid For Repurchase And Retirement Of Common Stock", "terseLabel": "Payments for repurchase and retirement of common stock", "negatedLabel": "Payments for repurchase and retirement of common stock" } } }, "auth_ref": [] }, "altr_AccruedObligationsForAcquisitionOfBusinesses": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "AccruedObligationsForAcquisitionOfBusinesses", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Obligations for acquisition of businesses and technology", "label": "Accrued Obligations For Acquisition Of Businesses", "documentation": "Accrued obligations for acquisition of businesses." } } }, "auth_ref": [] }, "us-gaap_ProfitLoss": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ProfitLoss", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Net Income (Loss), Including Portion Attributable to Noncontrolling Interest, Total", "label": "Net Income (Loss), Including Portion Attributable to Noncontrolling Interest", "terseLabel": "Net loss", "documentation": "The consolidated profit or loss for the period, net of income taxes, including the portion attributable to the noncontrolling interest." } } }, "auth_ref": [ "r201", "r216", "r219", "r230", "r237", "r246", "r259", "r260", "r287", "r301", "r307", "r310", "r320", "r367", "r368", "r369", "r370", "r371", "r372", "r373", "r374", "r375", "r500", "r503", "r504", "r531", "r539", "r599", "r613", "r658", "r701", "r720", "r721", "r747", "r767", "r768", "r781", "r879", "r916" ] }, "altr_TwentyNineteenCreditAgreementMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "TwentyNineteenCreditAgreementMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Twenty Nineteen Credit Agreement", "label": "Twenty Nineteen Credit Agreement [Member]", "documentation": "Twenty nineteen credit agreement." } } }, "auth_ref": [] }, "us-gaap_DisaggregationOfRevenueLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DisaggregationOfRevenueLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Disaggregation Of Revenue [Line Items]", "label": "Disaggregation of Revenue [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [ "r422", "r756", "r757", "r758", "r759", "r760", "r761", "r762" ] }, "us-gaap_BusinessCombinationDisclosureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BusinessCombinationDisclosureTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAcquisitions" ], "lang": { "en-us": { "role": { "terseLabel": "Acquisitions", "label": "Business Combination Disclosure [Text Block]", "documentation": "The entire disclosure for a business combination (or series of individually immaterial business combinations) completed during the period, including background, timing, and recognized assets and liabilities. The disclosure may include leverage buyout transactions (as applicable)." } } }, "auth_ref": [ "r158", "r494" ] }, "altr_StockPurchaseAgreementMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "StockPurchaseAgreementMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "verboseLabel": "Stock Purchase Agreement [Member]", "terseLabel": "Stock Purchase Agreement [Member]", "label": "Stock Purchase Agreement [Member]", "documentation": "Stock purchase agreement." } } }, "auth_ref": [] }, "us-gaap_AccountingStandardsUpdate202006Member": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccountingStandardsUpdate202006Member", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "ASU 2020-06 [Member]", "label": "Accounting Standards Update 2020-06 [Member]", "documentation": "Accounting Standards Update 2020-06 Debt - Debt with Conversion and Other Options (Subtopic 470-20) and Derivatives and Hedging - Contracts in Entity's Own Equity (Subtopic 815-40): Accounting for Convertible Instruments and Contracts in an Entity's Own Equity." } } }, "auth_ref": [ "r520", "r521", "r522", "r523", "r524", "r525", "r526", "r528", "r529", "r530", "r531" ] }, "us-gaap_AccruedIncomeTaxesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccruedIncomeTaxesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Income taxes payable", "label": "Accrued Income Taxes, Current", "documentation": "Carrying amount as of the balance sheet date of the unpaid sum of the known and estimated amounts payable to satisfy all currently due domestic and foreign income tax obligations." } } }, "auth_ref": [ "r117", "r167" ] }, "us-gaap_AccumulatedOtherComprehensiveIncomeLossLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccumulatedOtherComprehensiveIncomeLossLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accumulated Other Comprehensive Income (Loss) [Line Items]", "label": "Accumulated Other Comprehensive Income (Loss) [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [ "r221", "r222", "r554", "r556", "r557", "r558", "r559", "r561" ] }, "us-gaap_DisaggregationOfRevenueTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DisaggregationOfRevenueTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Disaggregation Of Revenue [Table]", "label": "Disaggregation of Revenue [Table]", "documentation": "Disclosure of information about disaggregation of revenue into categories depicting how nature, amount, timing, and uncertainty of revenue and cash flows are affected by economic factor." } } }, "auth_ref": [ "r422", "r756", "r757", "r758", "r759", "r760", "r761", "r762" ] }, "altr_SummaryOfOtherIntangibleAssetsTable": { "xbrltype": "stringItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SummaryOfOtherIntangibleAssetsTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Summary Of Other Intangible Assets [Table]", "label": "Summary Of Other Intangible Assets [Table]", "documentation": "Summary Of Other Intangible Assets [Table]" } } }, "auth_ref": [] }, "us-gaap_BusinessCombinationAndAssetAcquisitionAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BusinessCombinationAndAssetAcquisitionAbstract", "lang": { "en-us": { "role": { "label": "Business Combination and Asset Acquisition [Abstract]" } } }, "auth_ref": [] }, "altr_NCJudgementMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "NCJudgementMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingenciesAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "N C Judgement", "label": "N C Judgement [Member]", "documentation": "NC judgement." } } }, "auth_ref": [] }, "us-gaap_ChangeInAccountingPrincipleAccountingStandardsUpdateAdopted": { "xbrltype": "booleanItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ChangeInAccountingPrincipleAccountingStandardsUpdateAdopted", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Change in Accounting Principle, Accounting Standards Update, Adopted [true false]", "label": "Change in Accounting Principle, Accounting Standards Update, Adopted [true false]", "documentation": "Indicates (true false) whether accounting standards update was adopted." } } }, "auth_ref": [ "r185", "r186", "r187", "r194", "r195", "r244", "r318", "r319", "r321", "r322", "r323", "r330", "r331", "r353", "r479", "r495", "r496", "r507", "r508", "r509", "r520", "r521", "r532", "r537", "r538", "r540", "r541", "r542", "r563", "r568", "r569", "r570", "r576", "r588", "r589", "r637", "r638" ] }, "us-gaap_WeightedAverageNumberOfSharesOutstandingAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "WeightedAverageNumberOfSharesOutstandingAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted average shares outstanding:", "label": "Weighted Average Number of Shares Outstanding, Diluted [Abstract]" } } }, "auth_ref": [] }, "altr_PowersimIncMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "PowersimIncMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Powersim Inc [Member]", "label": "Powersim Inc [Member]", "documentation": "Powersim Inc Member." } } }, "auth_ref": [] }, "us-gaap_TypeOfArrangementAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "TypeOfArrangementAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Collaborative Arrangement and Arrangement Other than Collaborative", "label": "Collaborative Arrangement and Arrangement Other than Collaborative [Axis]", "documentation": "Information by collaborative arrangement and arrangement other than collaborative applicable to revenue-generating activity or operations." } } }, "auth_ref": [ "r499" ] }, "altr_OptionToPurchaseAdditionalPrincipalAmountOfNotesToInitialPurchaser": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "OptionToPurchaseAdditionalPrincipalAmountOfNotesToInitialPurchaser", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Additional principal amount of notes to initial purchaser's", "label": "Option to Purchase Additional Principal Amount of Notes to Initial Purchaser", "documentation": "Option to purchase additional principal amount of notes to initial purchaser." } } }, "auth_ref": [] }, "us-gaap_IncomeStatementLocationAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeStatementLocationAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Income Statement Location", "label": "Income Statement Location [Axis]", "documentation": "Information by location in the income statement." } } }, "auth_ref": [ "r351", "r354", "r705" ] }, "us-gaap_SegmentReportingAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SegmentReportingAbstract", "lang": { "en-us": { "role": { "label": "Segment Reporting [Abstract]" } } }, "auth_ref": [] }, "us-gaap_LossContingencyDamagesPaidValue": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LossContingencyDamagesPaidValue", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingenciesAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Outstanding loss contingency damages paid", "label": "Loss Contingency, Damages Paid, Value", "documentation": "Amount of damages paid to the plaintiff in the legal matter." } } }, "auth_ref": [ "r911", "r912", "r913" ] }, "us-gaap_DeferredFinanceCostsNet": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DeferredFinanceCostsNet", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail2": { "parentTag": "us-gaap_ConvertibleLongTermNotesPayable", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Debt Issuance Costs, Net, Total", "terseLabel": "Less: unamortized debt issuance costs", "label": "Debt Issuance Costs, Net", "documentation": "Amount, after accumulated amortization, of debt issuance costs. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs." } } }, "auth_ref": [ "r107", "r919" ] }, "altr_GoodwillAffectOfForeignCurrencyTranslationGainLossAndOther": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "GoodwillAffectOfForeignCurrencyTranslationGainLossAndOther", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsChangesInCarryingAmountOfGoodwillAttributableToSoftwareReportableSegmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Foreign currency translation and other", "label": "Goodwill Affect Of Foreign Currency Translation Gain Loss And Other", "documentation": "Goodwill affect of foreign currency translation gain (loss) and other." } } }, "auth_ref": [] }, "us-gaap_IncomeStatementLocationDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeStatementLocationDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Income Statement Location", "label": "Income Statement Location [Domain]", "documentation": "Location in the income statement." } } }, "auth_ref": [ "r354", "r705" ] }, "altr_TermLicensesAndOtherMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "TermLicensesAndOtherMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Term licenses and other [Member]", "label": "Term Licenses And Other [Member]", "documentation": "Term licenses and other." } } }, "auth_ref": [] }, "us-gaap_ChangeInAccountingPrincipleAccountingStandardsUpdateAdoptionDate": { "xbrltype": "dateItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ChangeInAccountingPrincipleAccountingStandardsUpdateAdoptionDate", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Change in Accounting Principle, Accounting Standards Update, Adoption Date", "label": "Change in Accounting Principle, Accounting Standards Update, Adoption Date", "documentation": "Date accounting standards update was adopted, in YYYY-MM-DD format." } } }, "auth_ref": [ "r185", "r186", "r187", "r194", "r195", "r318", "r319", "r321", "r322", "r323", "r330", "r331", "r332", "r353", "r479", "r495", "r496", "r497", "r507", "r508", "r509", "r510", "r520", "r521", "r522", "r525", "r532", "r537", "r538", "r540", "r541", "r542", "r563", "r568", "r569", "r570", "r576", "r588", "r589", "r637", "r638", "r869" ] }, "us-gaap_RevenueRemainingPerformanceObligation": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RevenueRemainingPerformanceObligation", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Contracted revenue not yet recognized", "label": "Revenue, Remaining Performance Obligation, Amount", "documentation": "Amount of transaction price allocated to performance obligation that has not been recognized as revenue." } } }, "auth_ref": [ "r181" ] }, "us-gaap_DepositLiabilitiesAccruedInterest": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DepositLiabilitiesAccruedInterest", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 9.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "label": "Deposit Liabilities, Accrued Interest", "terseLabel": "Accrued interest", "documentation": "Amount of accrued but unpaid interest on deposit liabilities." } } }, "auth_ref": [ "r110" ] }, "us-gaap_SubsequentEventMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SubsequentEventMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Subsequent Event [Member]", "label": "Subsequent Event [Member]", "documentation": "Identifies event that occurred after the balance sheet date but before financial statements are issued or available to be issued." } } }, "auth_ref": [ "r562", "r582" ] }, "altr_CurrencyLossesOnAcquisitionRelatedIntercompanyLoans": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "CurrencyLossesOnAcquisitionRelatedIntercompanyLoans", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Currency losses on acquisition-related intercompany loans", "label": "Currency Losses On Acquisition Related Intercompany Loans", "documentation": "Currency losses on acquisition related intercompany loans." } } }, "auth_ref": [] }, "altr_AdjustedEarningsBeforeInterestTaxesDepreciationAndAmortization": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "AdjustedEarningsBeforeInterestTaxesDepreciationAndAmortization", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail": { "parentTag": "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Adjusted EBITDA", "label": "Adjusted Earnings Before Interest Taxes Depreciation And Amortization", "documentation": "Adjusted earnings before interest taxes depreciation and amortization." } } }, "auth_ref": [] }, "us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "APIC, Share-Based Payment Arrangement, Increase for Cost Recognition, Total", "terseLabel": "Stock-based compensation", "label": "APIC, Share-Based Payment Arrangement, Increase for Cost Recognition", "documentation": "Amount of increase to additional paid-in capital (APIC) for recognition of cost for award under share-based payment arrangement." } } }, "auth_ref": [ "r86", "r87", "r430" ] }, "altr_SecuredCreditAgreementMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SecuredCreditAgreementMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Secured Credit Agreement [Member]", "label": "Secured Credit Agreement [Member]", "documentation": "Description should be secured credit agreement. And custom label should be credit agreement." } } }, "auth_ref": [] }, "us-gaap_OtherSundryLiabilitiesNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherSundryLiabilitiesNoncurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesNoncurrent", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Other long-term liabilities", "label": "Other Sundry Liabilities, Noncurrent", "documentation": "Obligations not otherwise itemized or categorized in the footnotes to the financial statements that are expected to be paid after one year (or the normal operating cycle, if longer), from the balance sheet date." } } }, "auth_ref": [ "r118", "r168" ] }, "altr_AmountWithheldOnBehalfOfEmployeesForFuturePurchase": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "AmountWithheldOnBehalfOfEmployeesForFuturePurchase", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Amount withheld on behalf of employees for a future purchase", "label": "Amount Withheld On Behalf Of Employees For Future Purchase", "documentation": "Amount withheld on behalf of employees for future purchase." } } }, "auth_ref": [] }, "us-gaap_CashAndCashEquivalentsAtCarryingValue": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CashAndCashEquivalentsAtCarryingValue", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_AssetsCurrent", "weight": 1.0, "order": 0.0 }, "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationReconciliationOfCashCashEquivalentsAndRestrictedCashDetail": { "parentTag": "us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationReconciliationOfCashCashEquivalentsAndRestrictedCashDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Cash and Cash Equivalents, at Carrying Value, Total", "terseLabel": "Cash and cash equivalents", "label": "Cash and Cash Equivalents, at Carrying Value", "documentation": "Amount of currency on hand as well as demand deposits with banks or financial institutions. Includes other kinds of accounts that have the general characteristics of demand deposits. Also includes short-term, highly liquid investments that are both readily convertible to known amounts of cash and so near their maturity that they present insignificant risk of changes in value because of changes in interest rates. Excludes cash and cash equivalents within disposal group and discontinued operation." } } }, "auth_ref": [ "r45", "r204", "r743" ] }, "altr_PaymentsForRepurchaseOfCommonStockShares": { "xbrltype": "sharesItemType", "nsuri": "http://www.altair.com/20230930", "localname": "PaymentsForRepurchaseOfCommonStockShares", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Payments for repurchase of common stock, Shares", "label": "Payments for Repurchase of Common Stock Shares", "documentation": "Payments for repurchase of common stock shares." } } }, "auth_ref": [] }, "us-gaap_IncomeStatementAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeStatementAbstract", "lang": { "en-us": { "role": { "label": "Income Statement [Abstract]" } } }, "auth_ref": [] }, "altr_PutRightExercisePeriod": { "xbrltype": "durationItemType", "nsuri": "http://www.altair.com/20230930", "localname": "PutRightExercisePeriod", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Put right exercise period from date of purchase", "label": "Put Right Exercise Period", "documentation": "Put right exercise period." } } }, "auth_ref": [] }, "us-gaap_OtherNoncurrentLiabilitiesTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherNoncurrentLiabilitiesTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Summary of Other Long-term Liabilities", "label": "Other Noncurrent Liabilities [Table Text Block]", "documentation": "Tabular disclosure of other noncurrent liabilities." } } }, "auth_ref": [] }, "us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NewAccountingPronouncementsPolicyPolicyTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureOrganizationAndDescriptionOfBusinessPolicies" ], "lang": { "en-us": { "role": { "terseLabel": "Recent Accounting Guidance", "label": "New Accounting Pronouncements, Policy [Policy Text Block]", "documentation": "Disclosure of accounting policy pertaining to new accounting pronouncements that may impact the entity's financial reporting. Includes, but is not limited to, quantification of the expected or actual impact." } } }, "auth_ref": [] }, "us-gaap_ProceedsFromConvertibleDebt": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ProceedsFromConvertibleDebt", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInFinancingActivities", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "label": "Proceeds from Convertible Debt", "terseLabel": "Proceeds from issuance of convertible senior notes, net of discounts and commissions", "documentation": "The cash inflow from the issuance of a long-term debt instrument which can be exchanged for a specified amount of another security, typically the entity's common stock, at the option of the issuer or the holder." } } }, "auth_ref": [ "r40" ] }, "us-gaap_WeightedAverageNumberOfSharesOutstandingDilutedDisclosureItemsAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "WeightedAverageNumberOfSharesOutstandingDilutedDisclosureItemsAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Denominator:", "label": "Weighted Average Number of Shares Outstanding Reconciliation [Abstract]" } } }, "auth_ref": [] }, "altr_ClientEngineeringServicesSegmentMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ClientEngineeringServicesSegmentMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "CES [Member]", "label": "Client Engineering Services Segment [Member]", "documentation": "Client engineering services." } } }, "auth_ref": [] }, "us-gaap_AccountsReceivableNetCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccountsReceivableNetCurrent", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_AssetsCurrent", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Accounts Receivable, after Allowance for Credit Loss, Current, Total", "terseLabel": "Accounts receivable, net", "label": "Accounts Receivable, after Allowance for Credit Loss, Current", "documentation": "Amount, after allowance for credit loss, of right to consideration from customer for product sold and service rendered in normal course of business, classified as current." } } }, "auth_ref": [ "r316", "r317" ] }, "us-gaap_NatureOfOperations": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NatureOfOperations", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureOrganizationAndDescriptionOfBusiness" ], "lang": { "en-us": { "role": { "terseLabel": "Organization and Description of Business", "label": "Nature of Operations [Text Block]", "documentation": "The entire disclosure for the nature of an entity's business, major products or services, principal markets including location, and the relative importance of its operations in each business and the basis for the determination, including but not limited to, assets, revenues, or earnings. For an entity that has not commenced principal operations, disclosures about the risks and uncertainties related to the activities in which the entity is currently engaged and an understanding of what those activities are being directed toward." } } }, "auth_ref": [ "r176", "r191" ] }, "altr_SoftwareMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SoftwareMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Software [Member]", "documentation": "Software Member" } } }, "auth_ref": [] }, "altr_ChangeInPresentationOfCostsPolicyTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ChangeInPresentationOfCostsPolicyTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureOrganizationAndDescriptionOfBusinessPolicies" ], "lang": { "en-us": { "role": { "terseLabel": "Change in Presentation of Costs", "label": "Change In Presentation Of Costs [Policy Text Block]", "documentation": "Change in presentation of costs." } } }, "auth_ref": [] }, "altr_ConvertibleNotesHoldersConversionRightsUnderCircumstancesTwoMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ConvertibleNotesHoldersConversionRightsUnderCircumstancesTwoMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Convertible notes holders conversion rights under circumstances two [Member]", "label": "Convertible Notes Holders Conversion Rights Under Circumstances Two [Member]", "documentation": "Convertible notes holders conversion rights under circumstances two [Member]" } } }, "auth_ref": [] }, "altr_ConvertibleSeniorNotesDueInTwoThousandTwentySevenMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ConvertibleSeniorNotesDueInTwoThousandTwentySevenMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurementsAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Convertible Senior Notes Due in 2027 [Member]", "label": "Convertible Senior Notes Due In Two Thousand Twenty Seven [Member]", "documentation": "Convertible senior notes due in two thousand twenty seven." } } }, "auth_ref": [] }, "altr_SummaryOfOtherIntangibleAssetsLineItems": { "xbrltype": "stringItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SummaryOfOtherIntangibleAssetsLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Summary Of Other Intangible Assets [Line Items]", "label": "Summary Of Other Intangible Assets [Line Items]", "documentation": "Summary of other intangible assets." } } }, "auth_ref": [] }, "us-gaap_OtherCurrentLiabilitiesTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherCurrentLiabilitiesTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Summary of Other Accrued Expenses and Current Liabilities", "label": "Other Current Liabilities [Table Text Block]", "documentation": "Tabular disclosure of other current liabilities." } } }, "auth_ref": [] }, "altr_BusinessCombinationEstimatedPostCombinationExpense": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "BusinessCombinationEstimatedPostCombinationExpense", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Business combination, estimated post combination expense", "label": "Business Combination Estimated Post Combination Expense", "documentation": "Business combination estimated post combination expense." } } }, "auth_ref": [] }, "altr_InterestIncomeAndOther": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "InterestIncomeAndOther", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSupplementaryInformationScheduleOfOtherIncomeExpenseNetDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Special adjustments, interest income and other", "label": "Interest Income And Other", "documentation": "Interest income and other.", "negatedLabel": "Interest income" } } }, "auth_ref": [] }, "us-gaap_CommonClassBMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonClassBMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Class B Common Stock [Member]", "label": "Common Class B [Member]", "documentation": "Classification of common stock that has different rights than Common Class A, representing ownership interest in a corporation." } } }, "auth_ref": [ "r971" ] }, "us-gaap_AmortizationOfFinancingCostsAndDiscounts": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AmortizationOfFinancingCostsAndDiscounts", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail": { "parentTag": "us-gaap_InterestExpenseDebt", "weight": 1.0, "order": 1.0 }, "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Amortization of Debt Issuance Costs and Discounts, Total", "verboseLabel": "Amortization of debt issuance costs and discount", "label": "Amortization of Debt Issuance Costs and Discounts", "terseLabel": "Amortization of debt issuance costs", "documentation": "Amount of amortization expense attributable to debt discount (premium) and debt issuance costs." } } }, "auth_ref": [ "r398", "r566", "r753", "r754", "r883" ] }, "us-gaap_LandMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LandMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Land [Member]", "label": "Land [Member]", "documentation": "Part of earth's surface not covered by water." } } }, "auth_ref": [ "r922" ] }, "altr_MaintenanceAndOtherServicesMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "MaintenanceAndOtherServicesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Maintenance and Other Services [Member]", "label": "Maintenance And Other Services [Member]", "documentation": "Maintenance and other services." } } }, "auth_ref": [] }, "us-gaap_ContractWithCustomerLiabilityRevenueRecognized": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ContractWithCustomerLiabilityRevenueRecognized", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Deferred revenue, revenue recognized", "label": "Contract with Customer, Liability, Revenue Recognized", "documentation": "Amount of revenue recognized that was previously included in balance of obligation to transfer good or service to customer for which consideration from customer has been received or is due." } } }, "auth_ref": [ "r424" ] }, "us-gaap_AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife": { "xbrltype": "durationItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Weighted-average useful life of acquired finite-lived intangible assets", "label": "Acquired Finite-Lived Intangible Assets, Weighted Average Useful Life", "documentation": "Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days." } } }, "auth_ref": [ "r145" ] }, "altr_SupplementaryInformationAbstract": { "xbrltype": "stringItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SupplementaryInformationAbstract", "lang": { "en-us": { "role": { "terseLabel": "Property, Plant and Equipment [Abstract]", "label": "Supplementary Information [Abstract]", "documentation": "Supplementary information." } } }, "auth_ref": [] }, "altr_LossOnMarkToMarketAdjustmentOfContingentConsideration": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "LossOnMarkToMarketAdjustmentOfContingentConsideration", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": -1.0, "order": 5.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "label": "Loss On Mark To Market Adjustment Of Contingent Consideration", "documentation": "Loss on mark to market adjustment of contingent consideration.", "terseLabel": "Loss (gain) on mark-to-market adjustment of contingent consideration", "negatedLabel": "Loss (gain) on mark-to-market adjustment of contingent consideration" } } }, "auth_ref": [] }, "ecd_OutstandingRecoveryCompAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "OutstandingRecoveryCompAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Outstanding Recovery Compensation Amount", "terseLabel": "Compensation Amount" } } }, "auth_ref": [ "r796", "r807", "r817", "r842" ] }, "dei_EntityEmergingGrowthCompany": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityEmergingGrowthCompany", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Emerging Growth Company", "label": "Entity Emerging Growth Company", "documentation": "Indicate if registrant meets the emerging growth company criteria." } } }, "auth_ref": [ "r784" ] }, "us-gaap_ConvertibleNotesPayableCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConvertibleNotesPayableCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesCurrent", "weight": 1.0, "order": 5.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Net carrying amount", "label": "Convertible Notes Payable, Current", "terseLabel": "Current portion of convertible senior notes, net", "documentation": "Carrying value as of the balance sheet date of the portion of long-term debt due within one year or the operating cycle if longer identified as Convertible Notes Payable. Convertible Notes Payable is a written promise to pay a note which can be exchanged for a specified amount of another, related security, at the option of the issuer and the holder." } } }, "auth_ref": [ "r27" ] }, "us-gaap_OtherLiabilitiesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherLiabilitiesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesCurrent", "weight": 1.0, "order": 3.0 }, "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Total", "terseLabel": "Other accrued expenses and current liabilities", "label": "Other Liabilities, Current", "documentation": "Amount of liabilities classified as other, due within one year or the normal operating cycle, if longer." } } }, "auth_ref": [ "r27", "r769" ] }, "dei_DocumentQuarterlyReport": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "DocumentQuarterlyReport", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Document Quarterly Report", "label": "Document Quarterly Report", "documentation": "Boolean flag that is true only for a form used as an quarterly report." } } }, "auth_ref": [ "r786" ] }, "ecd_RestatementDeterminationDate": { "xbrltype": "dateItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "RestatementDeterminationDate", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Restatement Determination Date", "terseLabel": "Restatement Determination Date" } } }, "auth_ref": [ "r790", "r801", "r811", "r836" ] }, "us-gaap_TemporaryEquitySharesIssued": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "TemporaryEquitySharesIssued", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Shares issued", "label": "Temporary Equity, Shares Issued", "documentation": "The number of securities classified as temporary equity that have been sold (or granted) to the entity's shareholders. Securities issued include securities outstanding and securities held in treasury. Temporary equity is a security with redemption features that are outside the control of the issuer, is not classified as an asset or liability in conformity with GAAP, and is not mandatorily redeemable. Includes any type of security that is redeemable at a fixed or determinable price or on a fixed or determinable date or dates, is redeemable at the option of the holder, or has conditions for redemption which are not solely within the control of the issuer. If convertible, the issuer does not control the actions or events necessary to issue the maximum number of shares that could be required to be delivered under the conversion option if the holder exercises the option to convert the stock to another class of equity. If the security is a warrant or a rights issue, the warrant or rights issue is considered to be temporary equity if the issuer cannot demonstrate that it would be able to deliver upon the exercise of the option by the holder in all cases. Includes stock with put option held by ESOP and stock redeemable by holder only in the event of a change in control of the issuer." } } }, "auth_ref": [ "r119" ] }, "altr_PrincipalAmountPlusAccruedAndUnpaidInterest": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "PrincipalAmountPlusAccruedAndUnpaidInterest", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Principal Amount Plus Accrued and Unpaid Interest", "label": "Principal Amount Plus Accrued and Unpaid Interest", "documentation": "Principal amount plus accrued and unpaid interest." } } }, "auth_ref": [] }, "us-gaap_AllocatedShareBasedCompensationExpense": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AllocatedShareBasedCompensationExpense", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Stock-based compensation expense", "label": "Share-Based Payment Arrangement, Expense", "documentation": "Amount of expense for award under share-based payment arrangement. Excludes amount capitalized." } } }, "auth_ref": [ "r460", "r469" ] }, "altr_AccountsReceivableNetCurrentMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "AccountsReceivableNetCurrentMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accounts Receivable [Member]", "label": "Accounts Receivable Net Current [Member]", "documentation": "Accounts receivable net current." } } }, "auth_ref": [] }, "altr_TwoThousandTwentyThreeAcquisitionsMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "TwoThousandTwentyThreeAcquisitionsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "2023 Acquisitions [Member]", "label": "Two Thousand Twenty Three Acquisitions [Member]", "documentation": "Two Thousand Twenty Three Acquisitions [Member]" } } }, "auth_ref": [] }, "altr_SoftwareRelatedServicesMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SoftwareRelatedServicesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Software related services [Member]", "label": "Software Related Services [Member]", "documentation": "Software related services." } } }, "auth_ref": [] }, "us-gaap_EmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Employee Service Share Based Compensation Allocation Of Recognized Period Costs [Line Items]", "label": "Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [] }, "ecd_AggtErrCompNotYetDeterminedTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AggtErrCompNotYetDeterminedTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Aggregate Erroneous Compensation Not Yet Determined [Text Block]", "terseLabel": "Aggregate Erroneous Compensation Not Yet Determined" } } }, "auth_ref": [ "r794", "r805", "r815", "r840" ] }, "us-gaap_ConvertibleLongTermNotesPayable": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConvertibleLongTermNotesPayable", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Liabilities", "weight": 1.0, "order": 3.0 }, "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail2": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "verboseLabel": "2027 Convertible senior notes, net", "totalLabel": "Net carrying amount", "terseLabel": "Convertible senior notes, net", "label": "Convertible Notes Payable, Noncurrent", "documentation": "Carrying value as of the balance sheet date of long-term debt (with maturities initially due after one year or beyond the operating cycle if longer) identified as Convertible Notes Payable, excluding current portion. Convertible Notes Payable is a written promise to pay a note which can be exchanged for a specified amount of another, related security, at the option of the issuer and the holder." } } }, "auth_ref": [ "r31" ] }, "ecd_AggtErrCompAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AggtErrCompAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Aggregate Erroneous Compensation Amount", "terseLabel": "Aggregate Erroneous Compensation Amount" } } }, "auth_ref": [ "r791", "r802", "r812", "r837" ] }, "dei_DocumentTransitionReport": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "DocumentTransitionReport", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Document Transition Report", "label": "Document Transition Report", "documentation": "Boolean flag that is true only for a form used as a transition report." } } }, "auth_ref": [ "r819" ] }, "us-gaap_GoodwillAndIntangibleAssetsDisclosureTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "GoodwillAndIntangibleAssetsDisclosureTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssets" ], "lang": { "en-us": { "role": { "terseLabel": "Goodwill and Other Intangible Assets", "label": "Goodwill and Intangible Assets Disclosure [Text Block]", "documentation": "The entire disclosure for goodwill and intangible assets." } } }, "auth_ref": [ "r144" ] }, "altr_ConvertibleSeniorNotesDueInTwoThousandTwentyFourMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ConvertibleSeniorNotesDueInTwoThousandTwentyFourMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfInterestExpenseRecognizedRelatedToConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtScheduleOfNetCarryingValueOfConvertibleNotesParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurementsAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Convertible Senior Notes Due in 2024 [Member]", "label": "Convertible Senior Notes Due In Two Thousand Twenty Four [Member]", "documentation": "Convertible senior notes due in two thousand twenty four." } } }, "auth_ref": [] }, "us-gaap_EmployeeServiceShareBasedCompensationAggregateDisclosuresAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EmployeeServiceShareBasedCompensationAggregateDisclosuresAbstract", "lang": { "en-us": { "role": { "label": "Share-Based Payment Arrangement, Additional Disclosure [Abstract]" } } }, "auth_ref": [] }, "us-gaap_OtherLiabilitiesNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherLiabilitiesNoncurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Liabilities", "weight": 1.0, "order": 4.0 }, "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Total", "terseLabel": "Other long-term liabilities", "label": "Other Liabilities, Noncurrent", "documentation": "Amount of liabilities classified as other, due after one year or the normal operating cycle, if longer." } } }, "auth_ref": [ "r32" ] }, "altr_SettlementOfConvertibleSeniorNotes": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SettlementOfConvertibleSeniorNotes", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Settlement of convertible senior notes", "label": "Settlement of Convertible Senior Notes", "documentation": "Settlement of convertible senior notes." } } }, "auth_ref": [] }, "us-gaap_CommonStockParOrStatedValuePerShare": { "xbrltype": "perShareItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CommonStockParOrStatedValuePerShare", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical" ], "lang": { "en-us": { "role": { "terseLabel": "Common stock, par value", "label": "Common Stock, Par or Stated Value Per Share", "documentation": "Face amount or stated value per share of common stock." } } }, "auth_ref": [ "r121" ] }, "dei_EntityCommonStockSharesOutstanding": { "xbrltype": "sharesItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityCommonStockSharesOutstanding", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Common Stock, Shares Outstanding", "label": "Entity Common Stock, Shares Outstanding", "documentation": "Indicate number of shares or other units outstanding of each of registrant's classes of capital or common stock or other ownership interests, if and as stated on cover of related periodic report. Where multiple classes or units exist define each class/interest by adding class of stock items such as Common Class A [Member], Common Class B [Member] or Partnership Interest [Member] onto the Instrument [Domain] of the Entity Listings, Instrument." } } }, "auth_ref": [] }, "us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Business acquisition, Equity interest issued, Number of shares", "label": "Business Acquisition, Equity Interest Issued or Issuable, Number of Shares", "documentation": "Number of shares of equity interests issued or issuable to acquire entity." } } }, "auth_ref": [ "r161" ] }, "altr_EmployeeStockOptionAndEmployeeStockPurchasePlanMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "EmployeeStockOptionAndEmployeeStockPurchasePlanMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareScheduleOfAntidilutiveSharesExcludedFromComputationOfDilutedNetLossPerShareDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Stock Options and ESPP [Member]", "label": "Employee Stock Option And Employee Stock Purchase Plan [Member]", "documentation": "Employee stock option and employee stock purchase plan [Member]" } } }, "auth_ref": [] }, "ecd_ErrCompAnalysisTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ErrCompAnalysisTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Erroneous Compensation Analysis [Text Block]", "terseLabel": "Erroneous Compensation Analysis" } } }, "auth_ref": [ "r791", "r802", "r812", "r837" ] }, "us-gaap_IncreaseDecreaseInOtherOperatingLiabilities": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncreaseDecreaseInOtherOperatingLiabilities", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 13.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Increase (Decrease) in Other Operating Liabilities, Total", "terseLabel": "Other accrued expenses and current liabilities", "label": "Increase (Decrease) in Other Operating Liabilities", "documentation": "Amount of increase (decrease) in operating liabilities classified as other." } } }, "auth_ref": [ "r10" ] }, "altr_FurnitureEquipmentAndOtherMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "FurnitureEquipmentAndOtherMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Furniture Equipment and Other [Member]", "label": "Furniture Equipment And Other [Member]", "documentation": "Furniture equipment and other." } } }, "auth_ref": [] }, "us-gaap_ShareBasedCompensation": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensation", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail": { "parentTag": "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "weight": -1.0, "order": 1.0 }, "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Share-Based Payment Arrangement, Noncash Expense, Total", "negatedLabel": "Stock-based compensation expense", "verboseLabel": "Total stock-based compensation expense", "terseLabel": "Stock-based compensation expense", "label": "Share-Based Payment Arrangement, Noncash Expense", "documentation": "Amount of noncash expense for share-based payment arrangement." } } }, "auth_ref": [ "r10" ] }, "us-gaap_NoncashOrPartNoncashAcquisitionsLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NoncashOrPartNoncashAcquisitionsLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Noncash or Part Noncash Acquisitions [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [] }, "altr_ConceptEngineeringMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ConceptEngineeringMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Concept Engineering [Member]", "label": "Concept Engineering [Member]", "documentation": "Concept Engineering member." } } }, "auth_ref": [] }, "ecd_StkPrcOrTsrEstimationMethodTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "StkPrcOrTsrEstimationMethodTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Stock Price or TSR Estimation Method [Text Block]", "terseLabel": "Stock Price or TSR Estimation Method" } } }, "auth_ref": [ "r792", "r803", "r813", "r838" ] }, "us-gaap_SubsequentEventTypeAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SubsequentEventTypeAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Subsequent Event Type [Axis]", "documentation": "Information by event that occurred after the balance sheet date but before financial statements are issued or available to be issued." } } }, "auth_ref": [ "r562", "r582" ] }, "us-gaap_InterestPaidNet": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "InterestPaidNet", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Interest paid", "label": "Interest Paid, Excluding Capitalized Interest, Operating Activities", "documentation": "Amount of cash paid for interest, excluding capitalized interest, classified as operating activity. Includes, but is not limited to, payment to settle zero-coupon bond for accreted interest of debt discount and debt instrument with insignificant coupon interest rate in relation to effective interest rate of borrowing attributable to accreted interest of debt discount." } } }, "auth_ref": [ "r229", "r232", "r233" ] }, "us-gaap_PaymentsForProceedsFromOtherInvestingActivities": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PaymentsForProceedsFromOtherInvestingActivities", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInInvestingActivities", "weight": -1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "negatedLabel": "Other investing activities, net", "label": "Payments for (Proceeds from) Other Investing Activities", "documentation": "Amount of cash (inflow) outflow from investing activities classified as other." } } }, "auth_ref": [ "r860", "r880" ] }, "us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract", "lang": { "en-us": { "role": { "label": "Share-Based Payment Arrangement [Abstract]" } } }, "auth_ref": [] }, "dei_CoverAbstract": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "CoverAbstract", "lang": { "en-us": { "role": { "label": "Cover [Abstract]", "documentation": "Cover page." } } }, "auth_ref": [] }, "altr_PaymentForRepurchaseOfCommonStockShares": { "xbrltype": "sharesItemType", "nsuri": "http://www.altair.com/20230930", "localname": "PaymentForRepurchaseOfCommonStockShares", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "label": "Payment For Repurchase Of Common Stock Shares", "documentation": "Payment for repurchase of common stock shares.", "terseLabel": "Repurchase and retirement of common stock, Shares" } } }, "auth_ref": [] }, "us-gaap_SupplementalCashFlowInformationAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SupplementalCashFlowInformationAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Supplemental disclosure of cash flow:", "label": "Supplemental Cash Flow Information [Abstract]" } } }, "auth_ref": [] }, "ecd_OutstandingAggtErrCompAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "OutstandingAggtErrCompAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Outstanding Aggregate Erroneous Compensation Amount", "terseLabel": "Outstanding Aggregate Erroneous Compensation Amount" } } }, "auth_ref": [ "r793", "r804", "r814", "r839" ] }, "altr_NumberOfEqualVestingInstallments": { "xbrltype": "integerItemType", "nsuri": "http://www.altair.com/20230930", "localname": "NumberOfEqualVestingInstallments", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Number of vesting equal annual installments", "label": "Number Of Equal Vesting Installments", "documentation": "Number of equal vesting installments." } } }, "auth_ref": [] }, "us-gaap_SubsequentEventTypeDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SubsequentEventTypeDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Subsequent Event Type [Domain]", "documentation": "Event that occurred after the balance sheet date but before financial statements are issued or available to be issued." } } }, "auth_ref": [ "r562", "r582" ] }, "altr_StockPurchaseProgramSharesAcquired": { "xbrltype": "sharesItemType", "nsuri": "http://www.altair.com/20230930", "localname": "StockPurchaseProgramSharesAcquired", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Number of shares repurchased", "label": "Stock Purchase Program Shares Acquired", "documentation": "Stock purchase program shares acquired." } } }, "auth_ref": [] }, "altr_EmployeeStockPurchasePlanLiabilities": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "EmployeeStockPurchasePlanLiabilities", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Employee stock purchase plan obligations", "label": "Employee Stock Purchase Plan Liabilities", "documentation": "Employee stock purchase plan liabilities." } } }, "auth_ref": [] }, "dei_EntityInteractiveDataCurrent": { "xbrltype": "yesNoItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "EntityInteractiveDataCurrent", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Entity Interactive Data Current", "label": "Entity Interactive Data Current", "documentation": "Boolean flag that is true when the registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S-T during the preceding 12 months (or for such shorter period that the registrant was required to submit such files)." } } }, "auth_ref": [ "r858" ] }, "altr_ExpenseOnRepurchaseOfConvertibleSeniorNote": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ExpenseOnRepurchaseOfConvertibleSeniorNote", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureSupplementaryInformationScheduleOfOtherIncomeExpenseNetDetail": { "parentTag": "us-gaap_NonoperatingIncomeExpense", "weight": -1.0, "order": 1.0 }, "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInOperatingActivities", "weight": 1.0, "order": 6.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSupplementaryInformationScheduleOfOtherIncomeExpenseNetDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Expense on repurchase of convertible senior notes", "label": "Expense On Repurchase Of Convertible Senior Note", "documentation": "Expense on repurchase of convertible senior note." } } }, "auth_ref": [] }, "us-gaap_ConvertibleDebtFairValueDisclosures": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConvertibleDebtFairValueDisclosures", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureFairValueMeasurementsAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Fair value of convertible notes", "label": "Convertible Debt, Fair Value Disclosures", "documentation": "Fair value portion of borrowing which can be exchanged for a specified number of another security at the option of the issuer or the holder, for example, but not limited to, the entity's common stock." } } }, "auth_ref": [] }, "srt_RestatementAdjustmentMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/srt/2023", "localname": "RestatementAdjustmentMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails" ], "lang": { "en-us": { "role": { "terseLabel": "Recast [Member]", "label": "Revision of Prior Period, Adjustment [Member]" } } }, "auth_ref": [ "r240", "r241", "r242", "r257", "r258", "r279", "r529", "r530", "r862", "r863", "r864", "r865", "r869", "r873", "r874" ] }, "us-gaap_ConcentrationRiskBenchmarkDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConcentrationRiskBenchmarkDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Concentration Risk Benchmark [Domain]", "documentation": "The denominator in a calculation of a disclosed concentration risk percentage." } } }, "auth_ref": [ "r54", "r56", "r103", "r104", "r315", "r738" ] }, "altr_NumberOfPriorBusinessAcquistionsValuationFinalized": { "xbrltype": "integerItemType", "nsuri": "http://www.altair.com/20230930", "localname": "NumberOfPriorBusinessAcquistionsValuationFinalized", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "documentation": "Number of prior business acquistions, valuation finalized.", "label": "Number Of Prior Business Acquistions, Valuation Finalized", "terseLabel": "Number of prior business acquistions for which valuation is finalized" } } }, "auth_ref": [] }, "ecd_ForgoneRecoveryExplanationOfImpracticabilityTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ForgoneRecoveryExplanationOfImpracticabilityTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Forgone Recovery, Explanation of Impracticability [Text Block]", "terseLabel": "Forgone Recovery, Explanation of Impracticability" } } }, "auth_ref": [ "r795", "r806", "r816", "r841" ] }, "altr_TheTimingOfPayrollDeductionsMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "TheTimingOfPayrollDeductionsMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "The Timing of Payroll Deductions [Member]", "label": "The Timing Of Payroll Deductions [Member]", "documentation": "The timing of payroll deductions." } } }, "auth_ref": [] }, "ecd_NonNeosMember": { "xbrltype": "domainItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "NonNeosMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Non-NEOs [Member]", "terseLabel": "Non-NEOs" } } }, "auth_ref": [ "r795", "r806", "r816", "r833", "r841" ] }, "altr_StockRepurchaseProgramAveragePricePerShare": { "xbrltype": "perShareItemType", "nsuri": "http://www.altair.com/20230930", "localname": "StockRepurchaseProgramAveragePricePerShare", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Stock repurchase program, Average price per share", "label": "Stock Repurchase Program Average Price Per Share", "documentation": "Stock repurchase program average price per share." } } }, "auth_ref": [] }, "altr_ProfessionalSoftwareServicesMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ProfessionalSoftwareServicesMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersScheduleOfDisaggregationOfRevenueDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Professional software services [Member]", "label": "Professional Software Services [Member]", "documentation": "Professional software services." } } }, "auth_ref": [] }, "altr_GainOnMarkToMarketAdjustmentOfContingentConsideration": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "GainOnMarkToMarketAdjustmentOfContingentConsideration", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail" ], "lang": { "en-us": { "role": { "negatedLabel": "Gain on mark-to-market adjustment of contingent consideration", "terseLabel": "Gain on mark-to-market adjustment of contingent consideration", "label": "Gain On Mark To Market Adjustment Of Contingent Consideration", "documentation": "Gain on mark to market adjustment of contingent consideration." } } }, "auth_ref": [] }, "us-gaap_IncomeTaxesPaid": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IncomeTaxesPaid", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Income taxes paid", "label": "Income Taxes Paid", "documentation": "The amount of cash paid during the current period to foreign, federal, state, and local authorities as taxes on income." } } }, "auth_ref": [ "r44", "r46" ] }, "us-gaap_ConcentrationRiskByBenchmarkAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConcentrationRiskByBenchmarkAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Concentration Risk Benchmark [Axis]", "documentation": "Information by benchmark of concentration risk." } } }, "auth_ref": [ "r54", "r56", "r103", "r104", "r315", "r649", "r738" ] }, "us-gaap_EffectiveIncomeTaxRateContinuingOperations": { "xbrltype": "percentItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EffectiveIncomeTaxRateContinuingOperations", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureIncomeTaxesScheduleOfIncomeTaxExpenseAndEffectiveTaxRateDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Effective Income Tax Rate Reconciliation, Percent, Total", "terseLabel": "Effective tax rate", "label": "Effective Income Tax Rate Reconciliation, Percent", "documentation": "Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations." } } }, "auth_ref": [ "r475" ] }, "us-gaap_NonoperatingIncomeExpense": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NonoperatingIncomeExpense", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "weight": 1.0, "order": 2.0 }, "http://www.altair.com/20230930/taxonomy/role/DisclosureSupplementaryInformationScheduleOfOtherIncomeExpenseNetDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSupplementaryInformationScheduleOfOtherIncomeExpenseNetDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Other (income) expense, net", "negatedLabel": "Other (income) expense, net", "totalLabel": "Nonoperating Income (Expense), Total", "negatedTotalLabel": "Other expense, net", "label": "Nonoperating Income (Expense)", "documentation": "The aggregate amount of income or expense from ancillary business-related activities (that is to say, excluding major activities considered part of the normal operations of the business)." } } }, "auth_ref": [ "r135" ] }, "ecd_ForgoneRecoveryIndName": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ForgoneRecoveryIndName", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Forgone Recovery, Individual Name", "terseLabel": "Name" } } }, "auth_ref": [ "r795", "r806", "r816", "r841" ] }, "ecd_ForgoneRecoveryDueToExpenseOfEnforcementAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ForgoneRecoveryDueToExpenseOfEnforcementAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Forgone Recovery due to Expense of Enforcement, Amount", "terseLabel": "Forgone Recovery due to Expense of Enforcement, Amount" } } }, "auth_ref": [ "r795", "r806", "r816", "r841" ] }, "dei_DocumentPeriodEndDate": { "xbrltype": "dateItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "DocumentPeriodEndDate", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Document Period End Date", "label": "Document Period End Date", "documentation": "For the EDGAR submission types of Form 8-K: the date of the report, the date of the earliest event reported; for the EDGAR submission types of Form N-1A: the filing date; for all other submission types: the end of the reporting or transition period. The format of the date is YYYY-MM-DD." } } }, "auth_ref": [] }, "ecd_PayVsPerformanceDisclosureLineItems": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PayVsPerformanceDisclosureLineItems", "lang": { "en-us": { "role": { "label": "Pay vs Performance Disclosure [Line Items]", "terseLabel": "Pay vs Performance Disclosure" } } }, "auth_ref": [ "r821" ] }, "ecd_OutstandingRecoveryIndName": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "OutstandingRecoveryIndName", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Outstanding Recovery, Individual Name", "terseLabel": "Name" } } }, "auth_ref": [ "r796", "r807", "r817", "r842" ] }, "ecd_ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ForgoneRecoveryDueToDisqualificationOfTaxBenefitsAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Forgone Recovery due to Disqualification of Tax Benefits, Amount", "terseLabel": "Forgone Recovery due to Disqualification of Tax Benefits, Amount" } } }, "auth_ref": [ "r795", "r806", "r816", "r841" ] }, "ecd_ForgoneRecoveryDueToViolationOfHomeCountryLawAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ForgoneRecoveryDueToViolationOfHomeCountryLawAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Forgone Recovery due to Violation of Home Country Law, Amount", "terseLabel": "Forgone Recovery due to Violation of Home Country Law, Amount" } } }, "auth_ref": [ "r795", "r806", "r816", "r841" ] }, "us-gaap_PropertyPlantAndEquipmentByTypeAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PropertyPlantAndEquipmentByTypeAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Long-Lived Tangible Asset", "label": "Long-Lived Tangible Asset [Axis]", "documentation": "Information by type of long-lived, physical assets used to produce goods and services and not intended for resale." } } }, "auth_ref": [ "r12" ] }, "us-gaap_IntangibleAssetsGrossExcludingGoodwill": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "IntangibleAssetsGrossExcludingGoodwill", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail": { "parentTag": "us-gaap_IntangibleAssetsNetExcludingGoodwill", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Intangible Assets, Gross (Excluding Goodwill), Total", "terseLabel": "Gross carrying amount", "label": "Intangible Assets, Gross (Excluding Goodwill)", "documentation": "Amount before accumulated amortization of intangible assets, excluding goodwill." } } }, "auth_ref": [ "r207" ] }, "us-gaap_StockRepurchaseProgramAuthorizedAmount1": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockRepurchaseProgramAuthorizedAmount1", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Shares authorized to be repurchased amount", "label": "Stock Repurchase Program, Authorized Amount", "documentation": "Amount of stock repurchase plan authorized." } } }, "auth_ref": [] }, "us-gaap_LossContingenciesLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "LossContingenciesLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureCommitmentsAndContingenciesAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Loss Contingencies [Line Items]", "label": "Loss Contingencies [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [ "r361", "r362", "r363", "r366", "r912", "r913" ] }, "dei_DocumentType": { "xbrltype": "submissionTypeItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "DocumentType", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "verboseLabel": "Document Type", "label": "Document Type", "documentation": "The type of document being provided (such as 10-K, 10-Q, 485BPOS, etc). The document type is limited to the same value as the supporting SEC submission type, or the word 'Other'." } } }, "auth_ref": [] }, "us-gaap_PropertyPlantAndEquipmentLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PropertyPlantAndEquipmentLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Property, Plant and Equipment [Line Items]", "label": "Property, Plant and Equipment [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [] }, "us-gaap_NoncashOrPartNoncashAcquisitionsTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NoncashOrPartNoncashAcquisitionsTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Noncash or Part Noncash Acquisitions [Table]", "documentation": "The process of acquiring assets or a business through noncash (or part noncash) transactions. Noncash is defined as information about all investing and financing activities of an enterprise during a period that affect recognized assets or liabilities but that do not result in cash receipts or cash payments in the period. \"Part noncash\" refers to that portion of the transaction not resulting in cash receipts or cash payments in the period." } } }, "auth_ref": [ "r47", "r48", "r49" ] }, "us-gaap_ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ReconciliationOfOperatingProfitLossFromSegmentsToConsolidatedTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Reconciliation of U.S. GAAP (Loss) Income Before Income Taxes to Adjusted EBITDA", "label": "Reconciliation of Operating Profit (Loss) from Segments to Consolidated [Table Text Block]", "documentation": "Tabular disclosure of the reconciliation of profit (loss) from reportable segments to the consolidated income (loss) before income tax expense (benefit) and discontinued operations. Includes, but is not limited to, reconciliation after income tax if income tax is allocated to the reportable segment." } } }, "auth_ref": [ "r63", "r64" ] }, "us-gaap_CapitalizedContractCostNetNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "CapitalizedContractCostNetNoncurrent", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Capitalized contract cost net, noncurrent", "label": "Capitalized Contract Cost, Net, Noncurrent", "documentation": "Amount, after accumulated amortization and accumulated impairment loss, of asset recognized from cost incurred to obtain or fulfill contract with customer; classified as noncurrent." } } }, "auth_ref": [ "r334" ] }, "ecd_AwardTmgDiscLineItems": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardTmgDiscLineItems", "lang": { "en-us": { "role": { "label": "Award Timing Disclosures [Line Items]", "terseLabel": "Award Timing Disclosures" } } }, "auth_ref": [ "r844" ] }, "us-gaap_ComprehensiveIncomeNoteTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ComprehensiveIncomeNoteTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLoss" ], "lang": { "en-us": { "role": { "terseLabel": "Accumulated Other Comprehensive Loss", "label": "Comprehensive Income (Loss) Note [Text Block]", "documentation": "The entire disclosure for comprehensive income, which includes, but is not limited to, 1) the amount of income tax expense or benefit allocated to each component of other comprehensive income, including reclassification adjustments, 2) the reclassification adjustments for each classification of other comprehensive income and 3) the ending accumulated balances for each component of comprehensive income." } } }, "auth_ref": [ "r127", "r225", "r596", "r615" ] }, "ecd_RestatementDoesNotRequireRecoveryTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "RestatementDoesNotRequireRecoveryTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/ErrCompDisclosure" ], "lang": { "en-us": { "role": { "label": "Restatement Does Not Require Recovery [Text Block]", "terseLabel": "Restatement does not require Recovery" } } }, "auth_ref": [ "r797", "r808", "r818", "r843" ] }, "dei_CurrentFiscalYearEndDate": { "xbrltype": "gMonthDayItemType", "nsuri": "http://xbrl.sec.gov/dei/2023", "localname": "CurrentFiscalYearEndDate", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Current Fiscal Year End Date", "label": "Current Fiscal Year End Date", "documentation": "End date of current fiscal year in the format --MM-DD." } } }, "auth_ref": [] }, "us-gaap_DebtInstrumentConvertibleTermsOfConversionFeature": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentConvertibleTermsOfConversionFeature", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, convertible, terms of conversion feature", "label": "Debt Instrument, Convertible, Terms of Conversion Feature", "documentation": "Description of conversion terms for debt instrument." } } }, "auth_ref": [ "r30", "r79", "r153", "r154" ] }, "ecd_AwardsCloseToMnpiDiscIndName": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardsCloseToMnpiDiscIndName", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Awards Close in Time to MNPI Disclosures, Individual Name", "terseLabel": "Name" } } }, "auth_ref": [ "r846" ] }, "us-gaap_RevenueRemainingPerformanceObligationPercentage": { "xbrltype": "percentItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RevenueRemainingPerformanceObligationPercentage", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Contracted revenue recognize percentage", "label": "Revenue, Remaining Performance Obligation, Percentage", "documentation": "Percentage of remaining performance obligation to total remaining performance obligation not recognized as revenue." } } }, "auth_ref": [ "r866" ] }, "ecd_PeerGroupTotalShareholderRtnAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PeerGroupTotalShareholderRtnAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Peer Group Total Shareholder Return Amount", "terseLabel": "Peer Group Total Shareholder Return Amount" } } }, "auth_ref": [ "r824" ] }, "us-gaap_ScheduleOfSegmentReportingInformationBySegmentTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfSegmentReportingInformationBySegmentTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule of Segment Reporting Information", "label": "Schedule of Segment Reporting Information, by Segment [Table Text Block]", "documentation": "Tabular disclosure of the profit or loss and total assets for each reportable segment. An entity discloses certain information on each reportable segment if the amounts (a) are included in the measure of segment profit or loss reviewed by the chief operating decision maker or (b) are otherwise regularly provided to the chief operating decision maker, even if not included in that measure of segment profit or loss." } } }, "auth_ref": [ "r60", "r61", "r62", "r65" ] }, "us-gaap_DebtConversionConvertedInstrumentSharesIssued1": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtConversionConvertedInstrumentSharesIssued1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt conversion, converted instrument, shares issued", "label": "Debt Conversion, Converted Instrument, Shares Issued", "documentation": "The number of shares issued in exchange for the original debt being converted in a noncash (or part noncash) transaction. \"Part noncash\" refers to that portion of the transaction not resulting in cash receipts or payments in the period." } } }, "auth_ref": [ "r47", "r49" ] }, "us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FiniteLivedIntangibleAssetsByMajorClassAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Finite-Lived Intangible Assets by Major Class", "label": "Finite-Lived Intangible Assets by Major Class [Axis]", "documentation": "Information by major type or class of finite-lived intangible assets." } } }, "auth_ref": [ "r345", "r347", "r348", "r350", "r587", "r594" ] }, "us-gaap_ProceedsFromPaymentsForOtherFinancingActivities": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ProceedsFromPaymentsForOtherFinancingActivities", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInFinancingActivities", "weight": 1.0, "order": 6.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Other financing activities", "label": "Proceeds from (Payments for) Other Financing Activities", "documentation": "Amount of cash inflow (outflow) from financing activities classified as other." } } }, "auth_ref": [ "r861", "r881" ] }, "us-gaap_SegmentReportingInformationLineItems": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SegmentReportingInformationLineItems", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationReconciliationOfUSGAAPIncomeLossBeforeIncomeTaxesToAdjustedEBITDAParentheticalDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Segment Reporting Information [Line Items]", "label": "Segment Reporting Information [Line Items]", "documentation": "Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table." } } }, "auth_ref": [] }, "us-gaap_ScheduleOfSegmentReportingInformationBySegmentTable": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfSegmentReportingInformationBySegmentTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSegmentInformationScheduleOfSegmentReportingInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule Of Segment Reporting Information By Segment [Table]", "label": "Schedule of Segment Reporting Information, by Segment [Table]", "documentation": "A table disclosing the profit or loss and total assets for each reportable segment of the entity. An entity discloses certain information on each reportable segment if the amounts (a) are included in the measure of segment profit or loss reviewed by the chief operating decision maker or (b) are otherwise regularly provided to the chief operating decision maker, even if not included in that measure of segment profit or loss." } } }, "auth_ref": [ "r60", "r61", "r62", "r65" ] }, "us-gaap_AccruedProfessionalFeesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccruedProfessionalFeesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 5.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accrued professional fees", "label": "Accrued Professional Fees, Current", "documentation": "Carrying value as of the balance sheet date of obligations incurred through that date and payable for professional fees, such as for legal and accounting services received. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer)." } } }, "auth_ref": [ "r27" ] }, "us-gaap_StockAppreciationRightsSARSMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StockAppreciationRightsSARSMember", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Stock Appreciation Rights (SARs) [Member]", "terseLabel": "Stock Appreciation Rights (SARs)", "documentation": "Right to receive cash or shares equal to appreciation of predetermined number of grantor's shares during predetermined time period." } } }, "auth_ref": [] }, "altr_ComputerEquipmentAndSoftwareMember": { "xbrltype": "domainItemType", "nsuri": "http://www.altair.com/20230930", "localname": "ComputerEquipmentAndSoftwareMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfPropertyAndEquipmentDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Computer Equipment and Software [Member]", "label": "Computer Equipment And Software [Member]", "documentation": "Computer equipment and software." } } }, "auth_ref": [] }, "us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "FiniteLivedIntangibleAssetsMajorClassNameDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureGoodwillAndOtherIntangibleAssetsScheduleOfOtherIntangibleAssetsDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Finite-Lived Intangible Assets, Major Class Name", "label": "Finite-Lived Intangible Assets, Major Class Name [Domain]", "documentation": "The major class of finite-lived intangible asset (for example, patents, trademarks, copyrights, etc.) A major class is composed of intangible assets that can be grouped together because they are similar, either by their nature or by their use in the operations of a company." } } }, "auth_ref": [ "r68", "r71" ] }, "us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockOptionActivityUnder2017PlanDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Number of options, Granted", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross", "documentation": "Gross number of share options (or share units) granted during the period." } } }, "auth_ref": [ "r441" ] }, "ecd_AwardTmgMnpiDiscTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardTmgMnpiDiscTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Timing MNPI Disclosure [Text Block]", "terseLabel": "Award Timing MNPI Disclosure" } } }, "auth_ref": [ "r844" ] }, "altr_PromissoryNotesIssuedAndDeferredPaymentObligationsForAcquisitions": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "PromissoryNotesIssuedAndDeferredPaymentObligationsForAcquisitions", "crdr": "credit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Deferred payment obligations for acquisitions and investments", "documentation": "Promissory notes issued and deferred payment obligations for acquisitions.", "label": "Promissory Notes Issued And Deferred Payment Obligations For Acquisitions" } } }, "auth_ref": [] }, "us-gaap_DebtInstrumentFaceAmount": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentFaceAmount", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail2": { "parentTag": "us-gaap_ConvertibleLongTermNotesPayable", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureDebtScheduleOfConvertibleNotesDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, aggregate principal amount", "label": "Debt Instrument, Face Amount", "verboseLabel": "Principal", "documentation": "Face (par) amount of debt instrument at time of issuance." } } }, "auth_ref": [ "r106", "r108", "r377", "r567", "r751", "r752" ] }, "us-gaap_ComprehensiveIncomeNetOfTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ComprehensiveIncomeNetOfTax", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited" ], "lang": { "en-us": { "role": { "label": "Comprehensive Income (Loss), Net of Tax, Attributable to Parent", "totalLabel": "Comprehensive loss", "documentation": "Amount after tax of increase (decrease) in equity from transactions and other events and circumstances from net income and other comprehensive income, attributable to parent entity. Excludes changes in equity resulting from investments by owners and distributions to owners." } } }, "auth_ref": [ "r38", "r218", "r220", "r226", "r597", "r616" ] }, "ecd_ChangedPeerGroupFnTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "ChangedPeerGroupFnTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Changed Peer Group, Footnote [Text Block]", "terseLabel": "Changed Peer Group, Footnote" } } }, "auth_ref": [ "r824" ] }, "us-gaap_StatementClassOfStockAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "StatementClassOfStockAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheetsParenthetical", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Class of Stock", "label": "Class of Stock [Axis]", "documentation": "Information by the different classes of stock of the entity." } } }, "auth_ref": [ "r193", "r211", "r212", "r213", "r237", "r266", "r270", "r273", "r275", "r281", "r282", "r320", "r367", "r369", "r370", "r371", "r374", "r375", "r404", "r405", "r406", "r407", "r408", "r539", "r652", "r653", "r654", "r655", "r659", "r660", "r661", "r662", "r663", "r664", "r665", "r666", "r667", "r668", "r669", "r670", "r681", "r702", "r722", "r733", "r734", "r735", "r736", "r737", "r859", "r884", "r891" ] }, "us-gaap_RestrictedStockUnitsRSUMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RestrictedStockUnitsRSUMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfRestrictedStockUnitsAwardedDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Restricted Stock Units (RSUs) [Member]", "label": "Restricted Stock Units (RSUs) [Member]", "documentation": "Share instrument which is convertible to stock or an equivalent amount of cash, after a specified period of time or when specified performance conditions are met." } } }, "auth_ref": [] }, "ecd_AwardTmgMethodTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardTmgMethodTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Timing Method [Text Block]", "terseLabel": "Award Timing Method" } } }, "auth_ref": [ "r844" ] }, "us-gaap_AccruedRoyaltiesCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AccruedRoyaltiesCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesCurrent", "weight": 1.0, "order": 4.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherAccruedExpensesAndCurrentLiabilitiesDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Accrued royalties", "label": "Accrued Royalties, Current", "documentation": "Carrying value as of the balance sheet date of obligations incurred through that date and payable for royalties. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer)." } } }, "auth_ref": [ "r27", "r744" ] }, "us-gaap_GranteeStatusAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "GranteeStatusAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Grantee Status", "label": "Grantee Status [Axis]", "documentation": "Information by status of recipient to whom award is granted." } } }, "auth_ref": [ "r429", "r431", "r434", "r435", "r436", "r437", "r438", "r439", "r440", "r441", "r442", "r443", "r444", "r445", "r446", "r447", "r448", "r449", "r450", "r451", "r452", "r453", "r454", "r455", "r456", "r457", "r458", "r459" ] }, "altr_DebtInstrumentCommencementOfInterestDate": { "xbrltype": "dateItemType", "nsuri": "http://www.altair.com/20230930", "localname": "DebtInstrumentCommencementOfInterestDate", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Interest payment commencement date", "label": "Debt Instrument Commencement Of Interest Date", "documentation": "Debt instrument commencement of interest date." } } }, "auth_ref": [] }, "us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OrganizationConsolidationAndPresentationOfFinancialStatementsAbstract", "lang": { "en-us": { "role": { "label": "Organization, Consolidation and Presentation of Financial Statements [Abstract]" } } }, "auth_ref": [] }, "us-gaap_DebtInstrumentConvertibleThresholdConsecutiveTradingDays1": { "xbrltype": "integerItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentConvertibleThresholdConsecutiveTradingDays1", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, convertible, consecutive trading days", "label": "Debt Instrument, Convertible, Threshold Consecutive Trading Days", "documentation": "Threshold period of specified consecutive trading days within which common stock price to conversion price of convertible debt instrument must exceed threshold percentage for specified number of trading days to trigger conversion feature." } } }, "auth_ref": [] }, "altr_DocumentAndEntityInformationTable": { "xbrltype": "stringItemType", "nsuri": "http://www.altair.com/20230930", "localname": "DocumentAndEntityInformationTable", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DocumentDocumentAndEntityInformation" ], "lang": { "en-us": { "role": { "terseLabel": "Document And Entity Information [Table]", "label": "Document And Entity Information [Table]", "documentation": "Document and entity information table." } } }, "auth_ref": [] }, "us-gaap_GranteeStatusDomain": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "GranteeStatusDomain", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Grantee Status", "label": "Grantee Status [Domain]", "documentation": "Status of recipient to whom award is granted." } } }, "auth_ref": [ "r429", "r431", "r434", "r435", "r436", "r437", "r438", "r439", "r440", "r441", "r442", "r443", "r444", "r445", "r446", "r447", "r448", "r449", "r450", "r451", "r452", "r453", "r454", "r455", "r456", "r457", "r458", "r459" ] }, "ecd_AwardTmgPredtrmndFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardTmgPredtrmndFlag", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Timing Predetermined [Flag]", "terseLabel": "Award Timing Predetermined" } } }, "auth_ref": [ "r844" ] }, "us-gaap_RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RevenueRemainingPerformanceObligationExpectedTimingOfSatisfactionStartDateAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail1" ], "lang": { "en-us": { "role": { "terseLabel": "Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date", "label": "Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]", "documentation": "Start date of time band for expected timing of satisfaction of remaining performance obligation, in YYYY-MM-DD format." } } }, "auth_ref": [ "r182" ] }, "us-gaap_ConcentrationRiskByTypeAxis": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ConcentrationRiskByTypeAxis", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Concentration Risk Type [Axis]", "documentation": "Information by type of concentration risk, for example, but not limited to, asset, liability, net assets, geographic, customer, employees, supplier, lender." } } }, "auth_ref": [ "r54", "r56", "r103", "r104", "r315", "r738", "r868" ] }, "us-gaap_DebtInstrumentFrequencyOfPeriodicPayment": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentFrequencyOfPeriodicPayment", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument frequency of periodic payment", "label": "Debt Instrument, Frequency of Periodic Payment", "documentation": "Description of the frequency of periodic payments (monthly, quarterly, annual)." } } }, "auth_ref": [ "r31", "r114" ] }, "altr_SpecialAdjustmentsInterestIncomeAndOther": { "xbrltype": "monetaryItemType", "nsuri": "http://www.altair.com/20230930", "localname": "SpecialAdjustmentsInterestIncomeAndOther", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail": { "parentTag": "us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest", "weight": 1.0, "order": 4.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureSegmentInformationReconciliationOfUsGaapLossBeforeIncomeTaxesToAdjustedEbitdaDetail" ], "lang": { "en-us": { "role": { "documentation": "Special adjustments interest income and other.", "label": "Special Adjustments Interest Income And Other", "terseLabel": "Special adjustments, interest income and other" } } }, "auth_ref": [] }, "us-gaap_ProceedsFromStockOptionsExercised": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ProceedsFromStockOptionsExercised", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited": { "parentTag": "us-gaap_NetCashProvidedByUsedInFinancingActivities", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Proceeds from the exercise of common stock options", "label": "Proceeds from Stock Options Exercised", "documentation": "Amount of cash inflow from exercise of option under share-based payment arrangement." } } }, "auth_ref": [ "r9", "r17" ] }, "ecd_AwardTmgMnpiCnsdrdFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardTmgMnpiCnsdrdFlag", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Timing MNPI Considered [Flag]", "terseLabel": "Award Timing MNPI Considered" } } }, "auth_ref": [ "r844" ] }, "us-gaap_DebtInstrumentDescription": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentDescription", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument, description", "label": "Debt Instrument, Description", "documentation": "Identification of the lender and information about a contractual promise to repay a short-term or long-term obligation, which includes borrowings under lines of credit, notes payable, commercial paper, bonds payable, debentures, and other contractual obligations for payment. This may include rationale for entering into the arrangement, significant terms of the arrangement, which may include amount, repayment terms, priority, collateral required, debt covenants, borrowing capacity, call features, participation rights, conversion provisions, sinking-fund requirements, voting rights, basis for conversion if convertible and remarketing provisions. The description may be provided for individual debt instruments, rational groupings of debt instruments, or by debt in total." } } }, "auth_ref": [ "r22", "r79", "r113", "r116", "r166", "r169" ] }, "us-gaap_ProductConcentrationRiskMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ProductConcentrationRiskMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "label": "Product Concentration Risk [Member]", "documentation": "Reflects the percentage that revenues during the period from a specified product are to a specified benchmark, such as total net revenues, segment revenues or product line revenues. May also reflect the percentage contribution the product made to operating results. Risk is materially adverse effects of a loss of sales of a significant product or line of products, which could occur upon loss of rights to sell, distribute or license others; loss of patent or copyright protection; or technological obsolescence." } } }, "auth_ref": [ "r55" ] }, "us-gaap_NoncashInvestingAndFinancingItemsAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NoncashInvestingAndFinancingItemsAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfCashFlowsUnaudited" ], "lang": { "en-us": { "role": { "terseLabel": "Supplemental disclosure of non-cash investing and financing activities:", "label": "Noncash Investing and Financing Items [Abstract]" } } }, "auth_ref": [] }, "us-gaap_SellingAndMarketingExpense": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SellingAndMarketingExpense", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": "us-gaap_OperatingExpenses", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureOrganizationAndDescriptionOfBusinessPoliciesScheduleOfChangesMadeToTheConsolidatedStatementOfIncomeDetails", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Selling and Marketing Expense, Total", "terseLabel": "Sales and marketing", "label": "Selling and Marketing Expense", "documentation": "The aggregate total amount of expenses directly related to the marketing or selling of products or services." } } }, "auth_ref": [] }, "us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensation" ], "lang": { "en-us": { "role": { "terseLabel": "Stock-Based Compensation", "label": "Share-Based Payment Arrangement [Text Block]", "documentation": "The entire disclosure for share-based payment arrangement." } } }, "auth_ref": [ "r428", "r433", "r461", "r462", "r464", "r766" ] }, "ecd_AwardTmgHowMnpiCnsdrdTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardTmgHowMnpiCnsdrdTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Timing, How MNPI Considered [Text Block]", "terseLabel": "Award Timing, How MNPI Considered" } } }, "auth_ref": [ "r844" ] }, "ecd_NonPeoNeoAvgCompActuallyPaidAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "NonPeoNeoAvgCompActuallyPaidAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Non-PEO NEO Average Compensation Actually Paid Amount", "terseLabel": "Non-PEO NEO Average Compensation Actually Paid Amount" } } }, "auth_ref": [ "r823" ] }, "us-gaap_SalesCommissionsAndFees": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SalesCommissionsAndFees", "crdr": "debit", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Sales commissions", "label": "Sales Commissions and Fees", "documentation": "Primarily represents commissions incurred in the period based upon the sale by commissioned employees or third parties of the entity's goods or services, and fees for sales assistance or product enhancements performed by third parties (such as a distributor or value added reseller)." } } }, "auth_ref": [ "r134" ] }, "us-gaap_RetainedEarningsAccumulatedDeficit": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "RetainedEarningsAccumulatedDeficit", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_StockholdersEquity", "weight": 1.0, "order": 3.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Retained Earnings (Accumulated Deficit), Total", "terseLabel": "Accumulated deficit", "label": "Retained Earnings (Accumulated Deficit)", "documentation": "Amount of accumulated undistributed earnings (deficit)." } } }, "auth_ref": [ "r123", "r155", "r608", "r643", "r648", "r656", "r682", "r769" ] }, "us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail": { "parentTag": "us-gaap_OtherComprehensiveIncomeLossNetOfTax", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Other comprehensive income before reclassification", "label": "Other Comprehensive Income (Loss), before Reclassifications, before Tax", "documentation": "Amount before tax and reclassification adjustments of other comprehensive income (loss)." } } }, "auth_ref": [ "r37", "r222", "r554", "r557", "r561", "r615", "r877" ] }, "ecd_AwardsCloseToMnpiDiscTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardsCloseToMnpiDiscTableTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Awards Close in Time to MNPI Disclosures [Table Text Block]", "terseLabel": "Awards Close in Time to MNPI Disclosures, Table" } } }, "auth_ref": [ "r845" ] }, "us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodBeforeTax": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodBeforeTax", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail": { "parentTag": "us-gaap_OtherComprehensiveIncomeLossNetOfTax", "weight": -1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureAccumulatedOtherComprehensiveLossComponentsOfAccumulatedOtherComprehensiveLossDetail" ], "lang": { "en-us": { "role": { "negatedLabel": "Amounts reclassified from accumulated other comprehensive income", "label": "Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax", "documentation": "Amount before tax of reclassification adjustments of other comprehensive income (loss)." } } }, "auth_ref": [ "r37", "r222", "r554", "r559", "r561", "r615", "r877" ] }, "us-gaap_InterestIncomeAndInterestExpenseDisclosureTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "InterestIncomeAndInterestExpenseDisclosureTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule of Interest Expense Related to Convertible Notes", "label": "Interest Income and Interest Expense Disclosure [Table Text Block]", "documentation": "Tabular disclosure of interest income and expense, including, but not limited to, interest income and expense from investments, loans, and securities." } } }, "auth_ref": [] }, "us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "WeightedAverageNumberOfDilutedSharesOutstanding", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "totalLabel": "Denominator for dilutive loss per share", "label": "Weighted Average Number of Shares Outstanding, Diluted", "terseLabel": "Weighted average number of shares used in computing net loss per share, diluted", "documentation": "The average number of shares or units issued and outstanding that are used in calculating diluted EPS or earnings per unit (EPU), determined based on the timing of issuance of shares or units in the period." } } }, "auth_ref": [ "r265", "r275" ] }, "us-gaap_AssetsCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AssetsCurrent", "crdr": "debit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Assets", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "totalLabel": "Total current assets", "label": "Assets, Current", "documentation": "Sum of the carrying amounts as of the balance sheet date of all assets that are expected to be realized in cash, sold, or consumed within one year (or the normal operating cycle, if longer). Assets are probable future economic benefits obtained or controlled by an entity as a result of past transactions or events." } } }, "auth_ref": [ "r202", "r215", "r237", "r320", "r367", "r368", "r369", "r370", "r371", "r372", "r373", "r374", "r375", "r501", "r505", "r539", "r769", "r916", "r917", "r957" ] }, "us-gaap_ScheduleOfOtherNonoperatingIncomeExpenseTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfOtherNonoperatingIncomeExpenseTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationTables" ], "lang": { "en-us": { "role": { "label": "Schedule of Other Nonoperating Income (Expense) [Table Text Block]", "terseLabel": "Schedule of Other (income) Expense, Net", "documentation": "Tabular disclosure of the components of non-operating income or non-operating expense that may include amounts earned from dividends, interest on securities, gains (losses) on securities sold, equity earnings of unconsolidated affiliates, net gain (loss) on sales of business, interest expense and other miscellaneous income or expense items." } } }, "auth_ref": [] }, "ecd_TotalShareholderRtnAmt": { "xbrltype": "monetaryItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "TotalShareholderRtnAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Total Shareholder Return Amount", "terseLabel": "Total Shareholder Return Amount" } } }, "auth_ref": [ "r824" ] }, "ecd_MnpiDiscTimedForCompValFlag": { "xbrltype": "booleanItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "MnpiDiscTimedForCompValFlag", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "MNPI Disclosure Timed for Compensation Value [Flag]", "terseLabel": "MNPI Disclosure Timed for Compensation Value" } } }, "auth_ref": [ "r844" ] }, "us-gaap_ContractWithCustomerLiabilityCurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ContractWithCustomerLiabilityCurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_LiabilitiesCurrent", "weight": 1.0, "order": 4.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Deferred revenue", "label": "Contract with Customer, Liability, Current", "documentation": "Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable, classified as current." } } }, "auth_ref": [ "r410", "r411", "r423" ] }, "us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareTables" ], "lang": { "en-us": { "role": { "terseLabel": "Schedule Of Computation of Numerators and Denominators Used in Basic and Diluted Net loss Per Share Amounts", "label": "Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]", "documentation": "Tabular disclosure of an entity's basic and diluted earnings per share calculations, including a reconciliation of numerators and denominators of the basic and diluted per-share computations for income from continuing operations." } } }, "auth_ref": [ "r892" ] }, "us-gaap_WeightedAverageNumberOfSharesOutstandingBasic": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "WeightedAverageNumberOfSharesOutstandingBasic", "calculation": { "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail": { "parentTag": "us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding", "weight": 1.0, "order": 1.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited" ], "lang": { "en-us": { "role": { "verboseLabel": "Denominator for basic loss per share--weighted average shares", "totalLabel": "Weighted Average Number of Shares Outstanding, Basic, Total", "label": "Weighted Average Number of Shares Outstanding, Basic", "terseLabel": "Weighted average number of shares used in computing net loss per share, basic", "documentation": "Number of [basic] shares or units, after adjustment for contingently issuable shares or units and other shares or units not deemed outstanding, determined by relating the portion of time within a reporting period that common shares or units have been outstanding to the total time in that period." } } }, "auth_ref": [ "r264", "r275" ] }, "us-gaap_ContractWithCustomerLiabilityNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "ContractWithCustomerLiabilityNoncurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets": { "parentTag": "us-gaap_Liabilities", "weight": 1.0, "order": 2.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "Deferred revenue, non-current", "label": "Contract with Customer, Liability, Noncurrent", "documentation": "Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable, classified as noncurrent." } } }, "auth_ref": [ "r410", "r411", "r423" ] }, "ecd_CoSelectedMeasureAmt": { "xbrltype": "decimalItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "CoSelectedMeasureAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Company Selected Measure Amount", "terseLabel": "Company Selected Measure Amount" } } }, "auth_ref": [ "r825" ] }, "us-gaap_SellingAndMarketingExpenseMember": { "xbrltype": "domainItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SellingAndMarketingExpenseMember", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRevenueFromContractsWithCustomersAdditionalInformationDetail", "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationSummaryOfStockBasedCompensationExpenseDetail" ], "lang": { "en-us": { "role": { "verboseLabel": "Sales and marketing [Member]", "terseLabel": "Sales and Marketing Expense [Member]", "label": "Selling and Marketing Expense [Member]", "documentation": "Primary financial statement caption encompassing selling and marketing expense." } } }, "auth_ref": [ "r131" ] }, "us-gaap_AssetsCurrentAbstract": { "xbrltype": "stringItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "AssetsCurrentAbstract", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_StatementConsolidatedBalanceSheets" ], "lang": { "en-us": { "role": { "terseLabel": "CURRENT ASSETS:", "label": "Assets, Current [Abstract]" } } }, "auth_ref": [] }, "ecd_AwardsCloseToMnpiDiscTable": { "xbrltype": "stringItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardsCloseToMnpiDiscTable", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Awards Close in Time to MNPI Disclosures [Table]", "terseLabel": "Awards Close in Time to MNPI Disclosures" } } }, "auth_ref": [ "r845" ] }, "us-gaap_PensionAndOtherPostretirementAndPostemploymentBenefitPlansLiabilitiesNoncurrent": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "PensionAndOtherPostretirementAndPostemploymentBenefitPlansLiabilitiesNoncurrent", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail": { "parentTag": "us-gaap_OtherLiabilitiesNoncurrent", "weight": 1.0, "order": 0.0 } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureSupplementaryInformationSummaryOfOtherLongTermLiabilitiesDetail" ], "lang": { "en-us": { "role": { "totalLabel": "Liability, Pension and Other Postretirement and Postemployment Benefits, Noncurrent, Total", "terseLabel": "Pension and other post retirement liabilities", "label": "Liability, Pension and Other Postretirement and Postemployment Benefits, Noncurrent", "documentation": "Amount of liability, recognized in statement of financial position, for pension, other postretirement and postemployment benefits, classified as noncurrent." } } }, "auth_ref": [ "r81", "r82", "r118", "r156" ] }, "us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent": { "xbrltype": "percentItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SharebasedCompensationArrangementBySharebasedPaymentAwardPurchasePriceOfCommonStockPercent", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureStockBasedCompensationAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Percentage of purchase price for each share of common stock purchased of lower of fair market value per share on first day of applicable offering period", "label": "Share-Based Compensation Arrangement by Share-Based Payment Award, Purchase Price of Common Stock, Percent", "documentation": "Purchase price of common stock expressed as a percentage of its fair value." } } }, "auth_ref": [] }, "ecd_PeerGroupIssuersFnTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "PeerGroupIssuersFnTextBlock", "presentation": [ "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Peer Group Issuers, Footnote [Text Block]", "terseLabel": "Peer Group Issuers, Footnote" } } }, "auth_ref": [ "r824" ] }, "us-gaap_NetIncomeLoss": { "xbrltype": "monetaryItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NetIncomeLoss", "crdr": "credit", "calculation": { "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited": { "parentTag": "us-gaap_ComprehensiveIncomeNetOfTax", "weight": 1.0, "order": 0.0 }, "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail": { "parentTag": "us-gaap_NetIncomeLossAttributableToParentDiluted", "weight": 1.0, "order": 0.0 }, "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited": { "parentTag": null, "weight": null, "order": null, "root": true } }, "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetLossIncomePerShareComputationOfNumeratorsAndDenominatorsUsedInBasicAndDilutedNetLossIncomePerShareAmountsDetail", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfComprehensiveIncomeUnaudited", "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfOperationsUnaudited", "http://xbrl.sec.gov/ecd/role/PvpDisclosure" ], "lang": { "en-us": { "role": { "label": "Net Income (Loss)", "terseLabel": "Net Income (Loss)", "totalLabel": "Net loss", "verboseLabel": "Net loss", "documentation": "The portion of profit or loss for the period, net of income taxes, which is attributable to the parent." } } }, "auth_ref": [ "r130", "r141", "r172", "r201", "r216", "r219", "r223", "r237", "r246", "r251", "r252", "r254", "r255", "r259", "r260", "r272", "r287", "r301", "r307", "r310", "r320", "r367", "r368", "r369", "r370", "r371", "r372", "r373", "r374", "r375", "r531", "r539", "r614", "r701", "r720", "r721", "r747", "r780", "r916" ] }, "us-gaap_NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "NewAccountingPronouncementsAndChangesInAccountingPrinciplesTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureRecentAccountingGuidance" ], "lang": { "en-us": { "role": { "terseLabel": "Recent Accounting Guidance", "label": "Accounting Standards Update and Change in Accounting Principle [Text Block]", "documentation": "The entire disclosure for change in accounting principle. Includes, but is not limited to, nature, reason, and method of adopting amendment to accounting standards or other change in accounting principle." } } }, "auth_ref": [ "r183", "r184", "r190", "r199", "r244", "r245", "r248", "r249", "r261", "r262", "r326", "r327", "r483", "r484", "r485", "r517", "r527", "r533", "r534", "r535", "r545", "r546", "r547", "r572", "r573", "r581", "r591", "r592", "r593", "r643", "r644", "r645", "r646", "r648" ] }, "us-gaap_EarningsPerShareTextBlock": { "xbrltype": "textBlockItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "EarningsPerShareTextBlock", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/DisclosureNetIncomePerShare" ], "lang": { "en-us": { "role": { "terseLabel": "Net loss per share", "label": "Earnings Per Share [Text Block]", "documentation": "The entire disclosure for earnings per share." } } }, "auth_ref": [ "r263", "r276", "r277", "r278" ] }, "ecd_AwardUndrlygSecuritiesAmt": { "xbrltype": "decimalItemType", "nsuri": "http://xbrl.sec.gov/ecd/2023", "localname": "AwardUndrlygSecuritiesAmt", "presentation": [ "http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure" ], "lang": { "en-us": { "role": { "label": "Award Underlying Securities Amount", "terseLabel": "Underlying Securities" } } }, "auth_ref": [ "r847" ] }, "us-gaap_SharesOutstanding": { "xbrltype": "sharesItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "SharesOutstanding", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/StatementConsolidatedStatementsOfChangesInStockholdersEquityUnaudited" ], "lang": { "en-us": { "role": { "periodStartLabel": "Beginning balance (in shares)", "periodEndLabel": "Ending balance (in shares)", "label": "Shares, Outstanding", "documentation": "Number of shares issued which are neither cancelled nor held in the treasury." } } }, "auth_ref": [] }, "us-gaap_DebtInstrumentInterestRateStatedPercentage": { "xbrltype": "percentItemType", "nsuri": "http://fasb.org/us-gaap/2023", "localname": "DebtInstrumentInterestRateStatedPercentage", "presentation": [ "http://www.altair.com/20230930/taxonomy/role/Role_DisclosureDebtAdditionalInformationDetail" ], "lang": { "en-us": { "role": { "terseLabel": "Debt instrument interest rate", "label": "Debt Instrument, Interest Rate, Stated Percentage", "documentation": "Contractual interest rate for funds borrowed, under the debt agreement." } } }, "auth_ref": [ "r29", "r378" ] } } } }, "std_ref": { "r0": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "25", "Paragraph": "1", "SubTopic": "20", "Topic": "940", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481913/940-20-25-1" }, "r1": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "35", "Paragraph": "1", "Subparagraph": "(b)", "SubTopic": "30", "Topic": "805", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479613/805-30-35-1" }, "r2": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "SubTopic": "230", "Topic": "830", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481877/830-230-45-1" }, "r3": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "10A", "SubTopic": "10", "Topic": "220", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-10A" }, "r4": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "10A", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "220", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-10A" }, "r5": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "10A", "Subparagraph": "(a),(b),(c)", "SubTopic": "10", "Topic": "220", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-10A" }, "r6": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "10A", "Subparagraph": "(i),(j),(k)", "SubTopic": "10", "Topic": "220", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-10A" }, "r7": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "10A", "Subparagraph": "(i-k)", "SubTopic": "10", "Topic": "220", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-10A" }, "r8": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "12", "SubTopic": "10", "Topic": "220", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-12" }, "r9": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "14", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "230", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-14" }, "r10": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "28", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "230", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-28" }, "r11": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "28", "Subparagraph": "(b)", "SubTopic": "10", "Topic": "230", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-28" }, "r12": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "SubTopic": "10", "Topic": "360", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482099/360-10-50-1" }, "r13": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1A", "Subparagraph": "(c),(3)", "SubTopic": "10", "Topic": "810", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481203/810-10-50-1A" }, "r14": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "SubTopic": "10", "Topic": "505", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-2" }, "r15": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(d)", "SubTopic": "10", "Topic": "718", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r16": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(e)", "SubTopic": "10", "Topic": "718", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r17": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2A", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "718", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2A" }, "r18": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "e", "SubTopic": "470", "Topic": "942", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480848/942-470-50-3" }, "r19": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "8", "SubTopic": "10", "Topic": "230", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482913/230-10-50-8" }, "r20": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "15", "SubTopic": "10", "Topic": "220", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482739/220-10-55-15" }, "r21": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(27)", "SubTopic": "10", "Topic": "210", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r22": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(22))", "SubTopic": "10", "Topic": "210", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r23": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.19(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r24": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.19(b),22(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r25": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.19)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r26": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.19-26)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r27": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.20)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r28": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.21)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r29": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.22(a)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r30": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.22(a)(5))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r31": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.22)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r32": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.24)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r33": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.25)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r34": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.29)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r35": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "210", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.29-31)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r36": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "220", "SubTopic": "10", "Section": "45", "Paragraph": "14", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-14" }, "r37": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "220", "SubTopic": "10", "Section": "45", "Paragraph": "14A", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-14A" }, "r38": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "220", "SubTopic": "10", "Section": "45", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-5" }, "r39": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "45", "Paragraph": "13", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-13" }, "r40": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "45", "Paragraph": "14", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-14" }, "r41": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "45", "Paragraph": "15", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-15" }, "r42": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "45", "Paragraph": "15", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-15" }, "r43": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "45", "Paragraph": "15", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-15" }, "r44": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "45", "Paragraph": "25", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-25" }, "r45": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "45", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-4" }, "r46": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482913/230-10-50-2" }, "r47": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482913/230-10-50-3" }, "r48": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "50", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482913/230-10-50-4" }, "r49": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "230", "SubTopic": "10", "Section": "50", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482913/230-10-50-5" }, "r50": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "250", "SubTopic": "10", "Section": "50", "Paragraph": "7", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-7" }, "r51": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "250", "SubTopic": "10", "Section": "50", "Paragraph": "8", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-8" }, "r52": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "250", "SubTopic": "10", "Section": "50", "Paragraph": "9", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-9" }, "r53": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "260", "SubTopic": "10", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482662/260-10-50-1" }, "r54": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "275", "SubTopic": "10", "Section": "50", "Paragraph": "18", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-18" }, "r55": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "275", "SubTopic": "10", "Section": "50", "Paragraph": "18", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-18" }, "r56": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "275", "SubTopic": "10", "Section": "50", "Paragraph": "20", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-20" }, "r57": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "275", "SubTopic": "10", "Section": "50", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-4" }, "r58": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "275", "SubTopic": "10", "Section": "50", "Paragraph": "8", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-8" }, "r59": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "275", "SubTopic": "10", "Section": "50", "Paragraph": "9", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-9" }, "r60": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "280", "SubTopic": "10", "Section": "50", "Paragraph": "22", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r61": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "280", "SubTopic": "10", "Section": "50", "Paragraph": "25", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-25" }, "r62": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "280", "SubTopic": "10", "Section": "50", "Paragraph": "30", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-30" }, "r63": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "280", "SubTopic": "10", "Section": "50", "Paragraph": "30", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-30" }, "r64": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "280", "SubTopic": "10", "Section": "50", "Paragraph": "31", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-31" }, "r65": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "350", "SubTopic": "20", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r66": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "350", "SubTopic": "30", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482686/350-30-45-1" }, "r67": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "350", "SubTopic": "30", "Section": "45", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482686/350-30-45-2" }, "r68": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "350", "SubTopic": "30", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-1" }, "r69": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "350", "SubTopic": "30", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-1" }, "r70": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "350", "SubTopic": "30", "Section": "50", "Paragraph": "2", "Subparagraph": "((a)(1),(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-2" }, "r71": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "350", "SubTopic": "30", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-2" }, "r72": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "350", "SubTopic": "30", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-2" }, "r73": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "360", "SubTopic": "10", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482099/360-10-50-1" }, "r74": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "360", "SubTopic": "10", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482099/360-10-50-1" }, "r75": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "470", "SubTopic": "10", "Section": "45", "Paragraph": "10", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481573/470-10-45-10" }, "r76": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "470", "SubTopic": "20", "Section": "50", "Paragraph": "5", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-5" }, "r77": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "480", "SubTopic": "10", "Section": "55", "Paragraph": "63", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481620/480-10-55-63" }, "r78": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "480", "SubTopic": "10", "Section": "S99", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480244/480-10-S99-1" }, "r79": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "505", "SubTopic": "10", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-3" }, "r80": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "505", "SubTopic": "10", "Section": "50", "Paragraph": "8", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-8" }, "r81": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "715", "SubTopic": "20", "Section": "45", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480535/715-20-45-2" }, "r82": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "715", "SubTopic": "20", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480506/715-20-50-1" }, "r83": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "718", "SubTopic": "10", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r84": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "718", "SubTopic": "10", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r85": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "718", "SubTopic": "10", "Section": "50", "Paragraph": "2", "Subparagraph": "(h)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r86": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "718", "SubTopic": "20", "Section": "55", "Paragraph": "12", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481089/718-20-55-12" }, "r87": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "718", "SubTopic": "20", "Section": "55", "Paragraph": "13", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481089/718-20-55-13" }, "r88": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "720", "SubTopic": "30", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483384/720-30-45-1" }, "r89": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "805", "SubTopic": "10", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479328/805-10-50-2" }, "r90": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "805", "SubTopic": "10", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479328/805-10-50-3" }, "r91": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "805", "SubTopic": "10", "Section": "55", "Paragraph": "37", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479303/805-10-55-37" }, "r92": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "805", "SubTopic": "20", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479907/805-20-50-1" }, "r93": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "805", "SubTopic": "20", "Section": "55", "Paragraph": "14", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479876/805-20-55-14" }, "r94": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "805", "SubTopic": "20", "Section": "55", "Paragraph": "20", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479876/805-20-55-20" }, "r95": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "805", "SubTopic": "30", "Section": "25", "Paragraph": "6", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479668/805-30-25-6" }, "r96": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "815", "SubTopic": "10", "Section": "50", "Paragraph": "4A", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480434/815-10-50-4A" }, "r97": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "815", "SubTopic": "10", "Section": "50", "Paragraph": "4B", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480434/815-10-50-4B" }, "r98": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "815", "SubTopic": "40", "Section": "50", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480237/815-40-50-4" }, "r99": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "815", "SubTopic": "40", "Section": "50", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480237/815-40-50-5" }, "r100": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "820", "SubTopic": "10", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482106/820-10-50-2" }, "r101": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "825", "SubTopic": "10", "Section": "50", "Paragraph": "11", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482907/825-10-50-11" }, "r102": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "825", "SubTopic": "10", "Section": "50", "Paragraph": "12", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482907/825-10-50-12" }, "r103": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "825", "SubTopic": "10", "Section": "50", "Paragraph": "20", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482907/825-10-50-20" }, "r104": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "825", "SubTopic": "10", "Section": "50", "Paragraph": "21", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482907/825-10-50-21" }, "r105": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "835", "SubTopic": "30", "Section": "45", "Paragraph": "1A", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482925/835-30-45-1A" }, "r106": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "835", "SubTopic": "30", "Section": "45", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482925/835-30-45-2" }, "r107": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "835", "SubTopic": "30", "Section": "45", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482925/835-30-45-3" }, "r108": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "835", "SubTopic": "30", "Section": "55", "Paragraph": "8", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482949/835-30-55-8" }, "r109": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "942", "SubTopic": "210", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03.10)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r110": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "942", "SubTopic": "210", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03.15(5))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r111": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "942", "SubTopic": "210", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03.17)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r112": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "942", "SubTopic": "470", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480848/942-470-50-3" }, "r113": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "942", "SubTopic": "470", "Section": "50", "Paragraph": "3", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480848/942-470-50-3" }, "r114": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "942", "SubTopic": "470", "Section": "50", "Paragraph": "3", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480848/942-470-50-3" }, "r115": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Name": "Accounting Standards Codification", "Topic": "985", "SubTopic": "20", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481283/985-20-50-1" }, "r116": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(19))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r117": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(20))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r118": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(24))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r119": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(27)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r120": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(28))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r121": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(29))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r122": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(30)(a)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r123": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(30)(a)(3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r124": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(30))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r125": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(31))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r126": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(32))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r127": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//220/tableOfContent" }, "r128": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "11", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-11" }, "r129": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03(10))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r130": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03(20))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r131": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03(4))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r132": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03.1,2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r133": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03.2(a),(d))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r134": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03.4)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r135": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03.7)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r136": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03.8)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r137": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "8", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r138": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "13", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-13" }, "r139": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "24", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-24" }, "r140": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "25", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-25" }, "r141": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "28", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-28" }, "r142": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "235", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//235/tableOfContent" }, "r143": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "310", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SAB Topic 4.E)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480418/310-10-S99-2" }, "r144": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "350", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//350/tableOfContent" }, "r145": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-1" }, "r146": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-2" }, "r147": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-2" }, "r148": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "360", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482099/360-10-50-1" }, "r149": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "440", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//440/tableOfContent" }, "r150": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "470", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//470/tableOfContent" }, "r151": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-5" }, "r152": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "480", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3A", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480244/480-10-S99-3A" }, "r153": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-6" }, "r154": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-7" }, "r155": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.3-04)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480008/505-10-S99-1" }, "r156": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "715", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480535/715-20-45-3" }, "r157": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "718", "SubTopic": "10", "Subparagraph": "(e)(1)", "Name": "Accounting Standards Codification", "Paragraph": "2", "Section": "50", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r158": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "805", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//805/tableOfContent" }, "r159": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "805", "SubTopic": "20", "Name": "Accounting Standards Codification", "Paragraph": "1", "Section": "50", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479907/805-20-50-1" }, "r160": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "805", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "38", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479876/805-20-55-38" }, "r161": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "805", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)(4)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479581/805-30-50-1" }, "r162": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "19", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481231/810-10-45-19" }, "r163": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480237/815-40-50-3" }, "r164": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03(1)(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r165": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03(11))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r166": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03(13))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r167": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03(15)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r168": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03(15))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r169": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03(16))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r170": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03(23))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r171": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-04(15))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483589/942-220-S99-1" }, "r172": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-04(22))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483589/942-220-S99-1" }, "r173": { "role": "http://fasb.org/us-gaap/role/ref/legacyRef", "Topic": "942", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-04.9)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483589/942-220-S99-1" }, "r174": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "2", "Subparagraph": "(a)", "SubTopic": "20", "Topic": "740", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482659/740-20-45-2" }, "r175": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "5", "SubTopic": "210", "Topic": "954", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480632/954-210-45-5" }, "r176": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "275", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-1" }, "r177": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)", "SubTopic": "10", "Topic": "275", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-1" }, "r178": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "SubTopic": "10", "Topic": "275", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-1" }, "r179": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "11", "SubTopic": "10", "Topic": "275", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-11" }, "r180": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "SubTopic": "10", "Topic": "275", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-12" }, "r181": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "606", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-13" }, "r182": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Subparagraph": "(b)(1)", "SubTopic": "10", "Topic": "606", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-13" }, "r183": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(d)(1)", "SubTopic": "20", "Topic": "310", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481925/310-20-65-2" }, "r184": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(d)(2)", "SubTopic": "20", "Topic": "310", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481925/310-20-65-2" }, "r185": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "3", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "326", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-3" }, "r186": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "3", "Subparagraph": "(b)", "SubTopic": "10", "Topic": "326", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-3" }, "r187": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "842", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479832/842-10-65-4" }, "r188": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.4-08(h))", "SubTopic": "10", "Topic": "235", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480678/235-10-S99-1" }, "r189": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02.22(a)(2))", "SubTopic": "10", "Topic": "210", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r190": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//250/tableOfContent" }, "r191": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Topic": "275", "Publisher": "FASB", "URI": "https://asc.fasb.org//275/tableOfContent" }, "r192": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Accounting Standards Codification", "Topic": "606", "Publisher": "FASB", "URI": "https://asc.fasb.org//606/tableOfContent" }, "r193": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Name": "Regulation S-K (SK)", "Number": "229", "Section": "1402", "Paragraph": "(a)", "Publisher": "SEC" }, "r194": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "105", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479343/105-10-65-6" }, "r195": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "105", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479343/105-10-65-6" }, "r196": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "105", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479343/105-10-65-6" }, "r197": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "105", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479343/105-10-65-6" }, "r198": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "105", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479343/105-10-65-6" }, "r199": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "105", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479343/105-10-65-6" }, "r200": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "205", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483499/205-20-50-1" }, "r201": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "205", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483499/205-20-50-7" }, "r202": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483467/210-10-45-1" }, "r203": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483467/210-10-45-5" }, "r204": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r205": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(13))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r206": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(14))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r207": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(15))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r208": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(16))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r209": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(17))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r210": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(18))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r211": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(27)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r212": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(28))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r213": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(29))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r214": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(30)(a)(4))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r215": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(9))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r216": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1A", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-1A" }, "r217": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1A", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-1A" }, "r218": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1A", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-1A" }, "r219": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1B", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-1B" }, "r220": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1B", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482790/220-10-45-1B" }, "r221": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482765/220-10-50-4" }, "r222": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482765/220-10-50-5" }, "r223": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482765/220-10-50-6" }, "r224": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(210.5-03(11))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r225": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03(21))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r226": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03(24))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r227": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.5-03(25))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483621/220-10-S99-2" }, "r228": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "14", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-14" }, "r229": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "17", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-17" }, "r230": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-2" }, "r231": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "24", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-24" }, "r232": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "25", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-25" }, "r233": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482913/230-10-50-2" }, "r234": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "8", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482913/230-10-50-8" }, "r235": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "235", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483426/235-10-50-1" }, "r236": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "235", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.4-08(c))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480678/235-10-S99-1" }, "r237": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "235", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.4-08(g)(1)(ii))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480678/235-10-S99-1" }, "r238": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "235", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.4-08(h)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480678/235-10-S99-1" }, "r239": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "235", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.12-04(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480678/235-10-S99-3" }, "r240": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "23", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483421/250-10-45-23" }, "r241": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "24", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483421/250-10-45-24" }, "r242": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "5", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483421/250-10-45-5" }, "r243": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "6", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483421/250-10-45-6" }, "r244": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r245": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r246": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r247": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r248": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)(4)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r249": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r250": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r251": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "11", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-11" }, "r252": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "11", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-11" }, "r253": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-12" }, "r254": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-3" }, "r255": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-4" }, "r256": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-7" }, "r257": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-7" }, "r258": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-7" }, "r259": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "8", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-8" }, "r260": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "9", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-9" }, "r261": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "5", "Subparagraph": "(SAB Topic 11.M.Q2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480530/250-10-S99-5" }, "r262": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "6", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480530/250-10-S99-6" }, "r263": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//260/tableOfContent" }, "r264": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "10", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-10" }, "r265": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "16", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-16" }, "r266": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-2" }, "r267": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "22", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-22" }, "r268": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "23", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-23" }, "r269": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "28A", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-28A" }, "r270": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-3" }, "r271": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "40", "Subparagraph": "(b)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-40" }, "r272": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "60B", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-60B" }, "r273": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "60B", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-60B" }, "r274": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "7", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-7" }, "r275": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482662/260-10-50-1" }, "r276": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482662/260-10-50-1" }, "r277": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482662/260-10-50-2" }, "r278": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482662/260-10-50-3" }, "r279": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "15", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482635/260-10-55-15" }, "r280": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "272", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483014/272-10-45-1" }, "r281": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "272", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482987/272-10-50-1" }, "r282": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "272", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482987/272-10-50-3" }, "r283": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//280/tableOfContent" }, "r284": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "15", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-15" }, "r285": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "21", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-21" }, "r286": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "21", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-21" }, "r287": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r288": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r289": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r290": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r291": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r292": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r293": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r294": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(g)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r295": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(h)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r296": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "22", "Subparagraph": "(j)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-22" }, "r297": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "25", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-25" }, "r298": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "25", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-25" }, "r299": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "26", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-26" }, "r300": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "30", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-30" }, "r301": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "30", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-30" }, "r302": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "30", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-30" }, "r303": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "30", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-30" }, "r304": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "31", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-31" }, "r305": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "32", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-32" }, "r306": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "32", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-32" }, "r307": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "32", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-32" }, "r308": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "32", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-32" }, "r309": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "32", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-32" }, "r310": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "32", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-32" }, "r311": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "34", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-34" }, "r312": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "40", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-40" }, "r313": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "41", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-41" }, "r314": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "41", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-41" }, "r315": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "42", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-42" }, "r316": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "310", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481990/310-10-45-2" }, "r317": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "310", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "9", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481990/310-10-45-9" }, "r318": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "310", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481925/310-20-65-2" }, "r319": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "310", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481925/310-20-65-2" }, "r320": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "323", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481687/323-10-50-3" }, "r321": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-2" }, "r322": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r323": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r324": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r325": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r326": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(e)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r327": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(e)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r328": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(e)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r329": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(e)(4)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r330": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-5" }, "r331": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-5" }, "r332": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(b)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-5" }, "r333": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(c)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-5" }, "r334": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "340", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479483/340-40-50-3" }, "r335": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482598/350-20-45-1" }, "r336": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r337": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r338": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r339": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r340": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r341": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r342": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r343": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(g)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r344": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(h)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r345": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-1" }, "r346": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-1" }, "r347": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-1" }, "r348": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-2" }, "r349": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-2" }, "r350": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "350", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482665/350-30-50-2" }, "r351": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "360", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482099/360-10-50-3" }, "r352": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "360", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482099/360-10-50-3" }, "r353": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "405", "SubTopic": "50", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147477123/405-50-65-1" }, "r354": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "420", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482017/420-10-50-1" }, "r355": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "420", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482017/420-10-50-1" }, "r356": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "420", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB Topic 5.P.3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479823/420-10-S99-1" }, "r357": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "420", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SAB Topic 5.P.4(b)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479823/420-10-S99-2" }, "r358": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "420", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SAB Topic 5.P.4(d))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479823/420-10-S99-2" }, "r359": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "440", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482648/440-10-50-4" }, "r360": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "440", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482648/440-10-50-4" }, "r361": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483076/450-20-50-1" }, "r362": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483076/450-20-50-4" }, "r363": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "9", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483076/450-20-50-9" }, "r364": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB Topic 5.Y.Q2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480102/450-20-S99-1" }, "r365": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB Topic 5.Y.Q4)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480102/450-20-S99-1" }, "r366": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "460", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482425/460-10-50-3" }, "r367": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1A", "Subparagraph": "(SX 210.13-01(a)(4)(i))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1A" }, "r368": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1A", "Subparagraph": "(SX 210.13-01(a)(4)(iii)(A))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1A" }, "r369": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1A", "Subparagraph": "(SX 210.13-01(a)(4)(iv))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1A" }, "r370": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1A", "Subparagraph": "(SX 210.13-01(a)(5))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1A" }, "r371": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1B", "Subparagraph": "(SX 210.13-02(a)(4)(i))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1B" }, "r372": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1B", "Subparagraph": "(SX 210.13-02(a)(4)(iii)(A))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1B" }, "r373": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1B", "Subparagraph": "(SX 210.13-02(a)(4)(iii)(B))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1B" }, "r374": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1B", "Subparagraph": "(SX 210.13-02(a)(4)(iv))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1B" }, "r375": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1B", "Subparagraph": "(SX 210.13-02(a)(5))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1B" }, "r376": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r377": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r378": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r379": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r380": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r381": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r382": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(g)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r383": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(h)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r384": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r385": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1C", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1C" }, "r386": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1C", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1C" }, "r387": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1C", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1C" }, "r388": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1D", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1D" }, "r389": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1D", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1D" }, "r390": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1D", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1D" }, "r391": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1E", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1E" }, "r392": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1E", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1E" }, "r393": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1E", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1E" }, "r394": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1E", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1E" }, "r395": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1F", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1F" }, "r396": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1F", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1F" }, "r397": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1F", "Subparagraph": "(b)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1F" }, "r398": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1F", "Subparagraph": "(b)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1F" }, "r399": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1I", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1I" }, "r400": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1I", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1I" }, "r401": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1I", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1I" }, "r402": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1I", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1I" }, "r403": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-6" }, "r404": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-13" }, "r405": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-13" }, "r406": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Subparagraph": "(h)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-13" }, "r407": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "14", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-14" }, "r408": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-2" }, "r409": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.3-04)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480008/505-10-S99-1" }, "r410": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479837/606-10-45-1" }, "r411": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479837/606-10-45-2" }, "r412": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479837/606-10-45-3" }, "r413": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "10", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-10" }, "r414": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-12" }, "r415": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-12" }, "r416": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-12" }, "r417": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-12" }, "r418": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-12" }, "r419": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Subparagraph": "(b)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-13" }, "r420": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "15", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-15" }, "r421": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-4" }, "r422": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-5" }, "r423": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "8", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-8" }, "r424": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "8", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-8" }, "r425": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "9", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-9" }, "r426": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "715", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(d)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480506/715-20-50-1" }, "r427": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "715", "SubTopic": "80", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480576/715-80-50-5" }, "r428": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//718/tableOfContent" }, "r429": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "35", "Paragraph": "1D", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480483/718-10-35-1D" }, "r430": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "35", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480483/718-10-35-2" }, "r431": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "35", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480483/718-10-35-3" }, "r432": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480454/718-10-45-1" }, "r433": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r434": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r435": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r436": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r437": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r438": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(ii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r439": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r440": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r441": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)(01)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r442": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)(02)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r443": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)(03)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r444": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)(04)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r445": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r446": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(ii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r447": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(iii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r448": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(iii)(01)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r449": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(iii)(02)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r450": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(iii)(03)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r451": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(d)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r452": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(d)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r453": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(e)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r454": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(e)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r455": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r456": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(ii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r457": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(iii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r458": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(iv)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r459": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(v)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r460": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(h)(1)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r461": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(h)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r462": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(h)(2)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r463": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r464": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(l)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r465": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "15", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480336/718-10-65-15" }, "r466": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "15", "Subparagraph": "(f)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480336/718-10-65-15" }, "r467": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "15", "Subparagraph": "(f)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480336/718-10-65-15" }, "r468": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB Topic 14.E.Q2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479830/718-10-S99-1" }, "r469": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB Topic 14.F)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479830/718-10-S99-1" }, "r470": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "730", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482916/730-10-50-1" }, "r471": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//740/tableOfContent" }, "r472": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482525/740-10-45-4" }, "r473": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "6", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482525/740-10-45-6" }, "r474": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "10", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482685/740-10-50-10" }, "r475": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482685/740-10-50-12" }, "r476": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "14", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482685/740-10-50-14" }, "r477": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "17", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482685/740-10-50-17" }, "r478": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "21", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482685/740-10-50-21" }, "r479": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "8", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482615/740-10-65-8" }, "r480": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "8", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482615/740-10-65-8" }, "r481": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "8", "Subparagraph": "(d)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482615/740-10-65-8" }, "r482": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "8", "Subparagraph": "(d)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482615/740-10-65-8" }, "r483": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "8", "Subparagraph": "(e)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482615/740-10-65-8" }, "r484": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "8", "Subparagraph": "(e)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482615/740-10-65-8" }, "r485": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "8", "Subparagraph": "(e)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482615/740-10-65-8" }, "r486": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB TOPIC 6.I.5.Q1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479360/740-10-S99-1" }, "r487": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB TOPIC 6.I.7)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479360/740-10-S99-1" }, "r488": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SAB Topic 11.C)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479360/740-10-S99-2" }, "r489": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "11", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482659/740-20-45-11" }, "r490": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "2", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482659/740-20-45-2" }, "r491": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "270", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482526/740-270-50-1" }, "r492": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "740", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482603/740-30-50-2" }, "r493": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "805", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479907/805-20-50-5" }, "r494": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "805", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479907/805-20-50-5" }, "r495": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "805", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "3", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479845/805-20-65-3" }, "r496": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "805", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "3", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479845/805-20-65-3" }, "r497": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "805", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "3", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479845/805-20-65-3" }, "r498": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "805", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479581/805-30-50-1" }, "r499": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "808", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479402/808-10-50-1" }, "r500": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "19", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481231/810-10-45-19" }, "r501": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "25", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481231/810-10-45-25" }, "r502": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "25", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481231/810-10-45-25" }, "r503": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1A", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481203/810-10-50-1A" }, "r504": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1A", "Subparagraph": "(c)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481203/810-10-50-1A" }, "r505": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(bb)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481203/810-10-50-3" }, "r506": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481203/810-10-50-3" }, "r507": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-5" }, "r508": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r509": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r510": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r511": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r512": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r513": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(h)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r514": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(h)(1)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r515": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(h)(1)(iii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r516": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(h)(1)(iv)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r517": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(i)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r518": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(i)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r519": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(i)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480528/815-20-65-6" }, "r520": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r521": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(a)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r522": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(a)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r523": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(b)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r524": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(b)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r525": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r526": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r527": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(e)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r528": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(e)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r529": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(e)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r530": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(e)(4)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r531": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r532": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-2" }, "r533": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(c)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-2" }, "r534": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(c)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-2" }, "r535": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(c)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-2" }, "r536": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "820", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482106/820-10-50-2" }, "r537": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "820", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "13", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482477/820-10-65-13" }, "r538": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "820", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "13", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482477/820-10-65-13" }, "r539": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "28", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482907/825-10-50-28" }, "r540": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482833/825-10-65-5" }, "r541": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482833/825-10-65-6" }, "r542": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482833/825-10-65-6" }, "r543": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(c)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482833/825-10-65-6" }, "r544": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(c)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482833/825-10-65-6" }, "r545": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(e)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482833/825-10-65-6" }, "r546": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(e)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482833/825-10-65-6" }, "r547": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "6", "Subparagraph": "(e)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482833/825-10-65-6" }, "r548": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "17", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481839/830-10-45-17" }, "r549": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "35", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482014/830-20-35-1" }, "r550": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481956/830-20-45-1" }, "r551": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481956/830-20-45-5" }, "r552": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481926/830-20-50-1" }, "r553": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "230", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481877/830-230-45-1" }, "r554": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "17", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481694/830-30-45-17" }, "r555": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "20", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481694/830-30-45-20" }, "r556": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "20", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481694/830-30-45-20" }, "r557": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "20", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481694/830-30-45-20" }, "r558": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "20", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481694/830-30-45-20" }, "r559": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "20", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481694/830-30-45-20" }, "r560": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "21", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481694/830-30-45-21" }, "r561": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481674/830-30-50-1" }, "r562": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481674/830-30-50-2" }, "r563": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "832", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483482/832-10-65-1" }, "r564": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "832", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483482/832-10-65-1" }, "r565": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "835", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483013/835-20-50-1" }, "r566": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "835", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482925/835-30-45-3" }, "r567": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "835", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482900/835-30-50-1" }, "r568": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "842", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479832/842-10-65-5" }, "r569": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "842", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479832/842-10-65-5" }, "r570": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "842", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479832/842-10-65-5" }, "r571": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "842", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(d)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479832/842-10-65-5" }, "r572": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "842", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(f)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479832/842-10-65-5" }, "r573": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "842", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "5", "Subparagraph": "(f)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479832/842-10-65-5" }, "r574": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "842", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479041/842-20-45-1" }, "r575": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "842", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479041/842-20-45-1" }, "r576": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "848", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483550/848-10-65-2" }, "r577": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "848", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483550/848-10-65-2" }, "r578": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "848", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483550/848-10-65-2" }, "r579": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "848", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)(3)(iii)(01)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483550/848-10-65-2" }, "r580": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "848", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)(3)(iii)(03)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483550/848-10-65-2" }, "r581": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "848", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483550/848-10-65-2" }, "r582": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "855", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483399/855-10-50-2" }, "r583": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "860", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(c)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481326/860-20-50-3" }, "r584": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "910", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482546/910-10-50-6" }, "r585": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "912", "SubTopic": "310", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "11", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482312/912-310-45-11" }, "r586": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "924", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB Topic 11.L)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479941/924-10-S99-1" }, "r587": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "926", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483154/926-20-50-5" }, "r588": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "926", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483194/926-20-65-2" }, "r589": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "926", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483194/926-20-65-2" }, "r590": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "926", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483194/926-20-65-2" }, "r591": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "926", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(f)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483194/926-20-65-2" }, "r592": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "926", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(f)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483194/926-20-65-2" }, "r593": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "926", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(f)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483194/926-20-65-2" }, "r594": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "928", "SubTopic": "340", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483147/928-340-50-1" }, "r595": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "942", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-03(10)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479853/942-210-S99-1" }, "r596": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "942", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-04(23))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483589/942-220-S99-1" }, "r597": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "942", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-04(26))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483589/942-220-S99-1" }, "r598": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "942", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-04(27))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483589/942-220-S99-1" }, "r599": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "942", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.9-05(b)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479557/942-235-S99-1" }, "r600": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "942", "SubTopic": "360", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480842/942-360-50-1" }, "r601": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(12))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r602": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(15)(b)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r603": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(19))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r604": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(21))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r605": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(22))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r606": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(23)(a)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r607": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(23)(a)(3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r608": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(23)(a)(4))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r609": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(25))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r610": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(8)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r611": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(8))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r612": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-04(11))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483586/944-220-S99-1" }, "r613": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-04(16))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483586/944-220-S99-1" }, "r614": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-04(18))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483586/944-220-S99-1" }, "r615": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-04(19))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483586/944-220-S99-1" }, "r616": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-04(22))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483586/944-220-S99-1" }, "r617": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-04(23))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483586/944-220-S99-1" }, "r618": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-04(9))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483586/944-220-S99-1" }, "r619": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column A))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r620": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column B))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r621": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column C))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r622": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column D))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r623": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column E))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r624": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column F))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r625": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column G))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r626": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column H))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r627": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column I))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r628": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column J))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r629": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-16(Column K))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-1" }, "r630": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.12-17(Column A))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-2" }, "r631": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.12-17(Column B))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-2" }, "r632": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.12-17(Column C))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-2" }, "r633": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.12-17(Column D))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-2" }, "r634": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.12-17(Column E))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-2" }, "r635": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "235", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.12-17(Column F))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480149/944-235-S99-2" }, "r636": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7A", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480081/944-40-50-7A" }, "r637": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r638": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r639": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r640": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(f)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r641": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(f)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r642": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(g)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r643": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(g)(2)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r644": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(g)(2)(ii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r645": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(g)(2)(iii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r646": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(g)(2)(iv)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r647": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(h)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r648": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(h)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480016/944-40-65-2" }, "r649": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "944", "SubTopic": "825", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479383/944-825-50-1B" }, "r650": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480424/946-10-50-3" }, "r651": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-03(d))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479886/946-10-S99-3" }, "r652": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-03(i)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479886/946-10-S99-3" }, "r653": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-03(i)(2)(i))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479886/946-10-S99-3" }, "r654": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-03(i)(2)(ii))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479886/946-10-S99-3" }, "r655": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-03(i)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479886/946-10-S99-3" }, "r656": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "11", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480990/946-20-50-11" }, "r657": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480990/946-20-50-13" }, "r658": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480767/946-205-45-3" }, "r659": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "4", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480767/946-205-45-4" }, "r660": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-2" }, "r661": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "27", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-27" }, "r662": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-7" }, "r663": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-7" }, "r664": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-7" }, "r665": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-7" }, "r666": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-7" }, "r667": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-7" }, "r668": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(g)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-7" }, "r669": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(h)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480737/946-205-50-7" }, "r670": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480555/946-210-45-4" }, "r671": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480524/946-210-50-6" }, "r672": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480524/946-210-50-6" }, "r673": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r674": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(12)(b)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r675": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(12)(b)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r676": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(12)(b)(3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r677": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(13)(a)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r678": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(13)(a)(3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r679": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(14))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r680": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(15))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r681": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(16)(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r682": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(17))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r683": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(19))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r684": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(2)(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r685": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(2)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r686": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(3)(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r687": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(3)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r688": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(3)(c))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r689": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(6)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r690": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(6)(c))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r691": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(6)(d))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r692": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(6)(e))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r693": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(8))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r694": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(9)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r695": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(9)(c))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r696": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(9)(d))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r697": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-04(9)(e))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-1" }, "r698": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.6-05(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-2" }, "r699": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.6-05(4))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479617/946-210-S99-2" }, "r700": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483581/946-220-45-3" }, "r701": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "7", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483581/946-220-45-7" }, "r702": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483580/946-220-50-3" }, "r703": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r704": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(2)(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r705": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(2)(g)(3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r706": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r707": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(a)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r708": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(a)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r709": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(a)(3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r710": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(a)(5))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r711": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(a)(6))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r712": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(a)(7))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r713": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(c)(1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r714": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(c)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r715": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(c)(3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r716": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(c)(5))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r717": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(c)(6))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r718": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7)(c)(7))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r719": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(7))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r720": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.6-07(9))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-1" }, "r721": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-09(1)(d))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-3" }, "r722": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-09(4)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-3" }, "r723": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-09(6))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-3" }, "r724": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-09(7))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-3" }, "r725": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-12(Column A)(Footnote 2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-1" }, "r726": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.12-12A(Column A)(Footnote 2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-2" }, "r727": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.12-12B(Column A)(Footnote 4)(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-3" }, "r728": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.12-12B(Column A)(Footnote 4)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-3" }, "r729": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "5", "Subparagraph": "(SX 210.12-13(Column A)(Footnote 1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-5" }, "r730": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "5", "Subparagraph": "(SX 210.12-13(Column A)(Footnote 3))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-5" }, "r731": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "5", "Subparagraph": "(SX 210.12-13(Column B)(Footnote 1))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-5" }, "r732": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "6", "Subparagraph": "(SX 210.12-14(Column A)(Footnote 2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-6" }, "r733": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "505", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481004/946-505-50-1" }, "r734": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "505", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481004/946-505-50-2" }, "r735": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "505", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481004/946-505-50-2" }, "r736": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "505", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481004/946-505-50-2" }, "r737": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "946", "SubTopic": "505", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481004/946-505-50-2" }, "r738": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "954", "SubTopic": "310", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481027/954-310-50-2" }, "r739": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "954", "SubTopic": "440", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480327/954-440-50-1" }, "r740": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "976", "SubTopic": "310", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482856/976-310-50-1" }, "r741": { "role": "http://www.xbrl.org/2003/role/disclosureRef", "Topic": "978", "SubTopic": "310", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482707/978-310-50-1" }, "r742": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "13H", "Subparagraph": "(a)", "SubTopic": "40", "Topic": "944", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480046/944-40-55-13H" }, "r743": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483467/210-10-45-1" }, "r744": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "8", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483467/210-10-45-8" }, "r745": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "52", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482635/260-10-55-52" }, "r746": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "30", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-30" }, "r747": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "31", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-31" }, "r748": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "310", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "12A", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481933/310-10-55-12A" }, "r749": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "24", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482548/350-20-55-24" }, "r750": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r751": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "69B", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481568/470-20-55-69B" }, "r752": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "69C", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481568/470-20-55-69C" }, "r753": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "69E", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481568/470-20-55-69E" }, "r754": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "69F", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481568/470-20-55-69F" }, "r755": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "505", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481112/505-10-50-13" }, "r756": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "91", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-91" }, "r757": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "91", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-91" }, "r758": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "91", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-91" }, "r759": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "91", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-91" }, "r760": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "91", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-91" }, "r761": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "91", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-91" }, "r762": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "91", "Subparagraph": "(g)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-91" }, "r763": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "715", "SubTopic": "80", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "11", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480576/715-80-50-11" }, "r764": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "715", "SubTopic": "80", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480576/715-80-50-6" }, "r765": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "715", "SubTopic": "80", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "8", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480547/715-80-55-8" }, "r766": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r767": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "4J", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481175/810-10-55-4J" }, "r768": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "810", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "4K", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481175/810-10-55-4K" }, "r769": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "852", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "10", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481372/852-10-55-10" }, "r770": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "944", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "2", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479401/944-30-55-2" }, "r771": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "944", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "29F", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480046/944-40-55-29F" }, "r772": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480524/946-210-50-1" }, "r773": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480524/946-210-50-6" }, "r774": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480493/946-210-55-1" }, "r775": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "310", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "1", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480833/946-310-45-1" }, "r776": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.12-12(Column A)(Footnote 2)(i))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-1" }, "r777": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "2", "Subparagraph": "(SX 210.12-12A(Column A)(Footnote 2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-2" }, "r778": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.12-12B(Column A)(Footnote 1)(a))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-3" }, "r779": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "320", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "6", "Subparagraph": "(SX 210.12-14(Column A)(Footnote 2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480032/946-320-S99-6" }, "r780": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "830", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "10", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480167/946-830-55-10" }, "r781": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "830", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "11", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480167/946-830-55-11" }, "r782": { "role": "http://www.xbrl.org/2003/role/exampleRef", "Topic": "946", "SubTopic": "830", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "12", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480167/946-830-55-12" }, "r783": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Exchange Act", "Number": "240", "Section": "12", "Subsection": "b" }, "r784": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Exchange Act", "Number": "240", "Section": "12", "Subsection": "b-2" }, "r785": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Exchange Act", "Number": "240", "Section": "12", "Subsection": "d1-1" }, "r786": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 10-Q", "Number": "240", "Section": "308", "Subsection": "a" }, "r787": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "16", "Subsection": "J", "Paragraph": "a" }, "r788": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1" }, "r789": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1", "Subparagraph": "i" }, "r790": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1", "Subparagraph": "i", "Sentence": "A" }, "r791": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1", "Subparagraph": "i", "Sentence": "B" }, "r792": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1", "Subparagraph": "i", "Sentence": "C" }, "r793": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1", "Subparagraph": "i", "Sentence": "D" }, "r794": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1", "Subparagraph": "i", "Sentence": "E" }, "r795": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1", "Subparagraph": "ii" }, "r796": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "1", "Subparagraph": "iii" }, "r797": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Section": "6", "Subsection": "F", "Paragraph": "2" }, "r798": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 20-F", "Subsection": "F", "Paragraph": "1", "Subparagraph": "ii", "Section": "6" }, "r799": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a" }, "r800": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a", "Subparagraph": "1" }, "r801": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a", "Subparagraph": "1", "Sentence": "i" }, "r802": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a", "Subparagraph": "1", "Sentence": "ii" }, "r803": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a", "Subparagraph": "1", "Sentence": "iii" }, "r804": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a", "Subparagraph": "1", "Sentence": "iv" }, "r805": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a", "Subparagraph": "1", "Sentence": "v" }, "r806": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a", "Subparagraph": "2" }, "r807": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "a", "Subparagraph": "3" }, "r808": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form 40-F", "Section": "19", "Paragraph": "b" }, "r809": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a" }, "r810": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a", "Subparagraph": "1" }, "r811": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a", "Subparagraph": "1", "Sentence": "i" }, "r812": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a", "Subparagraph": "1", "Sentence": "ii" }, "r813": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a", "Subparagraph": "1", "Sentence": "iii" }, "r814": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a", "Subparagraph": "1", "Sentence": "iv" }, "r815": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a", "Subparagraph": "1", "Sentence": "v" }, "r816": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a", "Subparagraph": "2" }, "r817": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "a", "Subparagraph": "3" }, "r818": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Form N-CSR", "Section": "18", "Paragraph": "b" }, "r819": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Forms 10-K, 10-Q, 20-F", "Number": "240", "Section": "13", "Subsection": "a-1" }, "r820": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v" }, "r821": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "1" }, "r822": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "2", "Subparagraph": "ii" }, "r823": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "2", "Subparagraph": "iii" }, "r824": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "2", "Subparagraph": "iv" }, "r825": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "2", "Subparagraph": "vi" }, "r826": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "3" }, "r827": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "4" }, "r828": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "5", "Subparagraph": "i" }, "r829": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "5", "Subparagraph": "ii" }, "r830": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "5", "Subparagraph": "iii" }, "r831": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "5", "Subparagraph": "iv" }, "r832": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "6" }, "r833": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "v", "Paragraph": "6", "Subparagraph": "i" }, "r834": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1" }, "r835": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1", "Subparagraph": "i" }, "r836": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1", "Subparagraph": "i", "Sentence": "A" }, "r837": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1", "Subparagraph": "i", "Sentence": "B" }, "r838": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1", "Subparagraph": "i", "Sentence": "C" }, "r839": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1", "Subparagraph": "i", "Sentence": "D" }, "r840": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1", "Subparagraph": "i", "Sentence": "E" }, "r841": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1", "Subparagraph": "ii" }, "r842": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "1", "Subparagraph": "iii" }, "r843": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "w", "Paragraph": "2" }, "r844": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "x", "Paragraph": "1" }, "r845": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "x", "Paragraph": "2" }, "r846": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "x", "Paragraph": "2", "Subparagraph": "ii", "Sentence": "A" }, "r847": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "x", "Paragraph": "2", "Subparagraph": "ii", "Sentence": "C" }, "r848": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "x", "Paragraph": "2", "Subparagraph": "ii", "Sentence": "D" }, "r849": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "x", "Paragraph": "2", "Subparagraph": "ii", "Sentence": "E" }, "r850": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "402", "Subsection": "x", "Paragraph": "2", "Subparagraph": "ii", "Sentence": "F" }, "r851": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "408", "Subsection": "a" }, "r852": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "408", "Subsection": "a", "Paragraph": "1" }, "r853": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "408", "Subsection": "a", "Paragraph": "2", "Subparagraph": "A" }, "r854": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "408", "Subsection": "a", "Paragraph": "2", "Subparagraph": "B" }, "r855": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "408", "Subsection": "a", "Paragraph": "2", "Subparagraph": "C" }, "r856": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "408", "Subsection": "a", "Paragraph": "2", "Subparagraph": "D" }, "r857": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-K", "Number": "229", "Section": "408", "Subsection": "b", "Paragraph": "1" }, "r858": { "role": "http://www.xbrl.org/2003/role/presentationRef", "Publisher": "SEC", "Name": "Regulation S-T", "Number": "232", "Section": "405" }, "r859": { "role": "http://www.xbrl.org/2003/role/recommendedDisclosureRef", "Topic": "272", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483014/272-10-45-3" }, "r860": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "12", "SubTopic": "10", "Topic": "230", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-12" }, "r861": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "15", "SubTopic": "10", "Topic": "230", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-15" }, "r862": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)(2)", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r863": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)(3)", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-1" }, "r864": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "11", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-11" }, "r865": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "11", "Subparagraph": "(b)", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-11" }, "r866": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "13", "Subparagraph": "(b)(1)", "SubTopic": "10", "Topic": "606", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-13" }, "r867": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "18", "SubTopic": "10", "Topic": "275", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482861/275-10-50-18" }, "r868": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "SubTopic": "825", "Topic": "944", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479383/944-825-50-1B" }, "r869": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-3" }, "r870": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4H", "SubTopic": "40", "Topic": "944", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480081/944-40-50-4H" }, "r871": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(a)", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-7" }, "r872": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(b)", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-7" }, "r873": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "8", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-8" }, "r874": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "9", "SubTopic": "10", "Topic": "250", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-9" }, "r875": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(3)(a)(4))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r876": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "210", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.5-02(9))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480566/210-10-S99-1" }, "r877": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482765/220-10-50-4" }, "r878": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482765/220-10-50-5" }, "r879": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "220", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "6", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482765/220-10-50-6" }, "r880": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "13", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-13" }, "r881": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "14", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-14" }, "r882": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "28", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-28" }, "r883": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "230", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "28", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482740/230-10-45-28" }, "r884": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "235", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.4-08(d))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480678/235-10-S99-1" }, "r885": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "235", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.4-08(f))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480678/235-10-S99-1" }, "r886": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "235", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.4-08(g)(1)(ii))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480678/235-10-S99-1" }, "r887": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "23", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483421/250-10-45-23" }, "r888": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "24", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483421/250-10-45-24" }, "r889": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "5", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483421/250-10-45-5" }, "r890": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "250", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "12", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483443/250-10-50-12" }, "r891": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "55", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482689/260-10-45-55" }, "r892": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "260", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482662/260-10-50-1" }, "r893": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "280", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "18", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482810/280-10-50-18" }, "r894": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "323", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481687/323-10-50-3" }, "r895": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(e)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r896": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "326", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "4", "Subparagraph": "(e)(4)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479654/326-10-65-4" }, "r897": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r898": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r899": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r900": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r901": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r902": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(e)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r903": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r904": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(g)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r905": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Subparagraph": "(h)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1" }, "r906": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1A", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-1A" }, "r907": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "350", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482573/350-20-50-2" }, "r908": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "410", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "10", "Subparagraph": "(c)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481931/410-30-50-10" }, "r909": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "420", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482047/420-10-45-3" }, "r910": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "450", "Name": "Accounting Standards Codification", "Publisher": "FASB", "URI": "https://asc.fasb.org//450/tableOfContent" }, "r911": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483076/450-20-50-1" }, "r912": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483076/450-20-50-4" }, "r913": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "9", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483076/450-20-50-9" }, "r914": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "9", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483076/450-20-50-9" }, "r915": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "450", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SAB Topic 5.Y.Q2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480102/450-20-S99-1" }, "r916": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1A", "Subparagraph": "(SX 210.13-01(a)(4)(ii))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1A" }, "r917": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "470", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1A", "Subparagraph": "(SX 210.13-01(a)(4)(iii))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480097/470-10-S99-1A" }, "r918": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1B", "Subparagraph": "(d)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1B" }, "r919": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "470", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1D", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481139/470-20-50-1D" }, "r920": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "5", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479806/606-10-50-5" }, "r921": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "27", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-27" }, "r922": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "606", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "55", "Paragraph": "91", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479777/606-10-55-91" }, "r923": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r924": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r925": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(a)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r926": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r927": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(ii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r928": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r929": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r930": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)(01)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r931": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)(02)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r932": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)(03)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r933": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(1)(iv)(04)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r934": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r935": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(ii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r936": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(iii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r937": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(iii)(01)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r938": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(iii)(02)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r939": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(c)(2)(iii)(03)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r940": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(d)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r941": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(d)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r942": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(e)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r943": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(e)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r944": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r945": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(ii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r946": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(iii)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r947": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(iv)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r948": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "718", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(f)(2)(v)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480429/718-10-50-2" }, "r949": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(e)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r950": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "815", "SubTopic": "40", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "1", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480175/815-40-65-1" }, "r951": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "820", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2", "Subparagraph": "(bbb)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482106/820-10-50-2" }, "r952": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "825", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "28", "Subparagraph": "(f)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482907/825-10-50-28" }, "r953": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "20", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481694/830-30-45-20" }, "r954": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "830", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481674/830-30-50-1" }, "r955": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "848", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)(3)(iii)(01)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483550/848-10-65-2" }, "r956": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "848", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "65", "Paragraph": "2", "Subparagraph": "(a)(3)(iii)(03)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483550/848-10-65-2" }, "r957": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "852", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481404/852-10-50-7" }, "r958": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "852", "SubTopic": "10", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "7", "Subparagraph": "(b)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481404/852-10-50-7" }, "r959": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "860", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(c)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481326/860-20-50-3" }, "r960": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "860", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(c)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481326/860-20-50-3" }, "r961": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "860", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "3", "Subparagraph": "(c)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481326/860-20-50-3" }, "r962": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "860", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Subparagraph": "(b)(1)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481326/860-20-50-4" }, "r963": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "860", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Subparagraph": "(b)(2)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481326/860-20-50-4" }, "r964": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "860", "SubTopic": "20", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "4", "Subparagraph": "(b)(3)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147481326/860-20-50-4" }, "r965": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "912", "SubTopic": "730", "Name": "Accounting Standards Codification", "Section": "25", "Paragraph": "1", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147482517/912-730-25-1" }, "r966": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(16)(a)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r967": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "944", "SubTopic": "210", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "1", "Subparagraph": "(SX 210.7-03(a)(2))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479440/944-210-S99-1" }, "r968": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "944", "SubTopic": "30", "Name": "Accounting Standards Codification", "Section": "50", "Paragraph": "2B", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147479432/944-30-50-2B" }, "r969": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "946", "SubTopic": "205", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "4", "Subparagraph": "(a)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147480767/946-205-45-4" }, "r970": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "45", "Paragraph": "3", "Subparagraph": "(i)", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483581/946-220-45-3" }, "r971": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-09(4)(b))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-3" }, "r972": { "role": "http://www.xbrl.org/2009/role/commonPracticeRef", "Topic": "946", "SubTopic": "220", "Name": "Accounting Standards Codification", "Section": "S99", "Paragraph": "3", "Subparagraph": "(SX 210.6-09(7))", "Publisher": "FASB", "URI": "https://asc.fasb.org//1943274/2147483575/946-220-S99-3" } } }