<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.22.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>89</ContextCount>
  <ElementCount>174</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>false</FootnotesReported>
  <SegmentCount>33</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>4</UnitCount>
  <MyReports>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>0001001 - Document - Cover</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/Cover</Role>
      <ShortName>Cover</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>1001002 - Statement - Condensed Consolidated Balance Sheets (unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/CondensedConsolidatedBalanceSheetsunaudited</Role>
      <ShortName>Condensed Consolidated Balance Sheets (unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>1002003 - Statement - Condensed Consolidated Balance Sheets (unaudited) (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/CondensedConsolidatedBalanceSheetsunauditedParenthetical</Role>
      <ShortName>Condensed Consolidated Balance Sheets (unaudited) (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>1003004 - Statement - Condensed Consolidated Statements of Operations (unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/CondensedConsolidatedStatementsofOperationsunaudited</Role>
      <ShortName>Condensed Consolidated Statements of Operations (unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>1004005 - Statement - Condensed Consolidated Statements of Redeemable Convertible Preferred Stock and Stockholders??? (Deficit) Equity (unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/CondensedConsolidatedStatementsofRedeemableConvertiblePreferredStockandStockholdersDeficitEquityunaudited</Role>
      <ShortName>Condensed Consolidated Statements of Redeemable Convertible Preferred Stock and Stockholders??? (Deficit) Equity (unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>1005006 - Statement - Condensed Consolidated Statements of Cash Flows (unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/CondensedConsolidatedStatementsofCashFlowsunaudited</Role>
      <ShortName>Condensed Consolidated Statements of Cash Flows (unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>2101101 - Disclosure - Description of Business, Organization, and Liquidity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/DescriptionofBusinessOrganizationandLiquidity</Role>
      <ShortName>Description of Business, Organization, and Liquidity</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>2103102 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/SummaryofSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>2105103 - Disclosure - Financial Instruments and Fair Value Measurements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/FinancialInstrumentsandFairValueMeasurements</Role>
      <ShortName>Financial Instruments and Fair Value Measurements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>2108104 - Disclosure - Restricted Cash</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/RestrictedCash</Role>
      <ShortName>Restricted Cash</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>2110105 - Disclosure - Accrued Expenses and Other Current Liabilities</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/AccruedExpensesandOtherCurrentLiabilities</Role>
      <ShortName>Accrued Expenses and Other Current Liabilities</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>2113106 - Disclosure - Common and Preferred Stock</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/CommonandPreferredStock</Role>
      <ShortName>Common and Preferred Stock</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>2116107 - Disclosure - Stock-based Compensation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/StockbasedCompensation</Role>
      <ShortName>Stock-based Compensation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>2123108 - Disclosure - Net (Loss) Income Attributable to Common Stockholders per Share</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/NetLossIncomeAttributabletoCommonStockholdersperShare</Role>
      <ShortName>Net (Loss) Income Attributable to Common Stockholders per Share</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>2126109 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/SubsequentEvents</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>2204201 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/SummaryofSignificantAccountingPoliciesPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://werewolftx.com/role/SummaryofSignificantAccountingPolicies</ParentRole>
      <Position>16</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>2306301 - Disclosure - Financial Instruments and Fair Value Measurements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/FinancialInstrumentsandFairValueMeasurementsTables</Role>
      <ShortName>Financial Instruments and Fair Value Measurements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://werewolftx.com/role/FinancialInstrumentsandFairValueMeasurements</ParentRole>
      <Position>17</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>2311302 - Disclosure - Accrued Expenses and Other Current Liabilities (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/AccruedExpensesandOtherCurrentLiabilitiesTables</Role>
      <ShortName>Accrued Expenses and Other Current Liabilities (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://werewolftx.com/role/AccruedExpensesandOtherCurrentLiabilities</ParentRole>
      <Position>18</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>2314303 - Disclosure - Common and Preferred Stock (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/CommonandPreferredStockTables</Role>
      <ShortName>Common and Preferred Stock (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://werewolftx.com/role/CommonandPreferredStock</ParentRole>
      <Position>19</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>2317304 - Disclosure - Stock-based Compensation (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/StockbasedCompensationTables</Role>
      <ShortName>Stock-based Compensation (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://werewolftx.com/role/StockbasedCompensation</ParentRole>
      <Position>20</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>2324305 - Disclosure - Net (Loss) Income Attributable to Common Stockholders per Share (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/NetLossIncomeAttributabletoCommonStockholdersperShareTables</Role>
      <ShortName>Net (Loss) Income Attributable to Common Stockholders per Share (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://werewolftx.com/role/NetLossIncomeAttributabletoCommonStockholdersperShare</ParentRole>
      <Position>21</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>2402401 - Disclosure - Description of Business, Organization, and Liquidity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/DescriptionofBusinessOrganizationandLiquidityDetails</Role>
      <ShortName>Description of Business, Organization, and Liquidity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://werewolftx.com/role/DescriptionofBusinessOrganizationandLiquidity</ParentRole>
      <Position>22</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>2407402 - Disclosure - Financial Instruments and Fair Value Measurements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/FinancialInstrumentsandFairValueMeasurementsDetails</Role>
      <ShortName>Financial Instruments and Fair Value Measurements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://werewolftx.com/role/FinancialInstrumentsandFairValueMeasurementsTables</ParentRole>
      <Position>23</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>2409403 - Disclosure - Restricted Cash (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/RestrictedCashDetails</Role>
      <ShortName>Restricted Cash (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://werewolftx.com/role/RestrictedCash</ParentRole>
      <Position>24</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>2412404 - Disclosure - Accrued Expenses and Other Current Liabilities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/AccruedExpensesandOtherCurrentLiabilitiesDetails</Role>
      <ShortName>Accrued Expenses and Other Current Liabilities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://werewolftx.com/role/AccruedExpensesandOtherCurrentLiabilitiesTables</ParentRole>
      <Position>25</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>2415405 - Disclosure - Common and Preferred Stock (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/CommonandPreferredStockDetails</Role>
      <ShortName>Common and Preferred Stock (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://werewolftx.com/role/CommonandPreferredStockTables</ParentRole>
      <Position>26</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>2418406 - Disclosure - Stock-based Compensation - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/StockbasedCompensationNarrativeDetails</Role>
      <ShortName>Stock-based Compensation - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>27</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>2419407 - Disclosure - Stock-based Compensation - Expense Recognized (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/StockbasedCompensationExpenseRecognizedDetails</Role>
      <ShortName>Stock-based Compensation - Expense Recognized (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>28</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>2420408 - Disclosure - Stock-based Compensation - Restricted Stock Award Activity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/StockbasedCompensationRestrictedStockAwardActivityDetails</Role>
      <ShortName>Stock-based Compensation - Restricted Stock Award Activity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>29</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>2421409 - Disclosure - Stock-based Compensation - Weighted Average Assumptions (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/StockbasedCompensationWeightedAverageAssumptionsDetails</Role>
      <ShortName>Stock-based Compensation - Weighted Average Assumptions (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>30</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>2422410 - Disclosure - Stock-based Compensation - Stock Option Activity (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/StockbasedCompensationStockOptionActivityDetails</Role>
      <ShortName>Stock-based Compensation - Stock Option Activity (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>31</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>2425411 - Disclosure - Net (Loss) Income Attributable to Common Stockholders per Share - Antidilutive Shares (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/NetLossIncomeAttributabletoCommonStockholdersperShareAntidilutiveSharesDetails</Role>
      <ShortName>Net (Loss) Income Attributable to Common Stockholders per Share - Antidilutive Shares (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://werewolftx.com/role/NetLossIncomeAttributabletoCommonStockholdersperShareTables</ParentRole>
      <Position>32</Position>
    </Report>
    <Report instance="howl-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>2427412 - Disclosure - Subsequent Events (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://werewolftx.com/role/SubsequentEventsDetails</Role>
      <ShortName>Subsequent Events (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://werewolftx.com/role/SubsequentEvents</ParentRole>
      <Position>33</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="10-Q" original="howl-20220331.htm">howl-20220331.htm</File>
    <File>a03312022ex101.htm</File>
    <File>a03312022ex311.htm</File>
    <File>a03312022ex312.htm</File>
    <File>a03312022ex321.htm</File>
    <File>howl-20220331.xsd</File>
    <File>howl-20220331_cal.xml</File>
    <File>howl-20220331_def.xml</File>
    <File>howl-20220331_lab.xml</File>
    <File>howl-20220331_pre.xml</File>
  </InputFiles>
  <SupplementalFiles/>
  <BaseTaxonomies>
    <BaseTaxonomy items="309">http://fasb.org/us-gaap/2021-01-31</BaseTaxonomy>
    <BaseTaxonomy items="31">http://xbrl.sec.gov/dei/2021</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
