<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.22.1</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>193</ContextCount>
  <ElementCount>278</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>true</FootnotesReported>
  <SegmentCount>77</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>8</UnitCount>
  <MyReports>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>0001001 - Document - Cover Page</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CoverPage</Role>
      <ShortName>Cover Page</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>1001002 - Statement - CONSOLIDATED CONDENSED BALANCE SHEETS (Unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CONSOLIDATEDCONDENSEDBALANCESHEETSUnaudited</Role>
      <ShortName>CONSOLIDATED CONDENSED BALANCE SHEETS (Unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>1002003 - Statement - CONSOLIDATED CONDENSED BALANCE SHEETS (Unaudited) (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CONSOLIDATEDCONDENSEDBALANCESHEETSUnauditedParentheticals</Role>
      <ShortName>CONSOLIDATED CONDENSED BALANCE SHEETS (Unaudited) (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>1003004 - Statement - CONSOLIDATED CONDENSED STATEMENTS OF INCOME (LOSS) (Unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CONSOLIDATEDCONDENSEDSTATEMENTSOFINCOMELOSSUnaudited</Role>
      <ShortName>CONSOLIDATED CONDENSED STATEMENTS OF INCOME (LOSS) (Unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>1004005 - Statement - CONSOLIDATED CONDENSED STATEMENTS OF INCOME (LOSS) (Unaudited) (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CONSOLIDATEDCONDENSEDSTATEMENTSOFINCOMELOSSUnauditedParentheticals</Role>
      <ShortName>CONSOLIDATED CONDENSED STATEMENTS OF INCOME (LOSS) (Unaudited) (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>1005006 - Statement - CONSOLIDATED CONDENSED STATEMENTS OF UNITHOLDERS' EQUITY (Unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CONSOLIDATEDCONDENSEDSTATEMENTSOFUNITHOLDERSEQUITYUnaudited</Role>
      <ShortName>CONSOLIDATED CONDENSED STATEMENTS OF UNITHOLDERS' EQUITY (Unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>1006007 - Statement - CONSOLIDATED CONDENSED STATEMENTS OF UNITHOLDERS' EQUITY (Unaudited) (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CONSOLIDATEDCONDENSEDSTATEMENTSOFUNITHOLDERSEQUITYUnauditedParentheticals</Role>
      <ShortName>CONSOLIDATED CONDENSED STATEMENTS OF UNITHOLDERS' EQUITY (Unaudited) (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>1007008 - Statement - CONSOLIDATED CONDENSED STATEMENTS OF CASH FLOWS (Unaudited)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CONSOLIDATEDCONDENSEDSTATEMENTSOFCASHFLOWSUnaudited</Role>
      <ShortName>CONSOLIDATED CONDENSED STATEMENTS OF CASH FLOWS (Unaudited)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>1408401 - Statement - CONSOLIDATED CONDENSED STATEMENTS OF CASH FLOWS (Unaudited) (Parentheticals)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/CONSOLIDATEDCONDENSEDSTATEMENTSOFCASHFLOWSUnauditedParentheticals</Role>
      <ShortName>CONSOLIDATED CONDENSED STATEMENTS OF CASH FLOWS (Unaudited) (Parentheticals)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>2101101 - Disclosure - Organization and Description of Business</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/OrganizationandDescriptionofBusiness</Role>
      <ShortName>Organization and Description of Business</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>2103102 - Disclosure - Basis of Presentation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/BasisofPresentation</Role>
      <ShortName>Basis of Presentation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>2106103 - Disclosure - Impact of COVID-19</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/ImpactofCOVID19</Role>
      <ShortName>Impact of COVID-19</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>2108104 - Disclosure - Discontinued Operations and Dispositions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DiscontinuedOperationsandDispositions</Role>
      <ShortName>Discontinued Operations and Dispositions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>2112105 - Disclosure - Income per Unit</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/IncomeperUnit</Role>
      <ShortName>Income per Unit</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>2116106 - Disclosure - Property, Equipment, Land, and Leasehold Improvements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/PropertyEquipmentLandandLeaseholdImprovements</Role>
      <ShortName>Property, Equipment, Land, and Leasehold Improvements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>2119107 - Disclosure - Intangible Assets and Goodwill</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/IntangibleAssetsandGoodwill</Role>
      <ShortName>Intangible Assets and Goodwill</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>2123108 - Disclosure - Long-Term Debt</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/LongTermDebt</Role>
      <ShortName>Long-Term Debt</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>17</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>2128109 - Disclosure - Derivative Instruments and Hedging Activities</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DerivativeInstrumentsandHedgingActivities</Role>
      <ShortName>Derivative Instruments and Hedging Activities</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>18</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>2133110 - Disclosure - Unitholders' Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/UnitholdersEquity</Role>
      <ShortName>Unitholders' Equity</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>19</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>2138111 - Disclosure - Revenue Recognition</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RevenueRecognition</Role>
      <ShortName>Revenue Recognition</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>20</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>2142112 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RelatedPartyTransactions</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>21</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>2147113 - Disclosure - Legal Proceedings and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/LegalProceedingsandContingencies</Role>
      <ShortName>Legal Proceedings and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>22</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>2204201 - Disclosure - Basis of Presentation (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/BasisofPresentationPolicies</Role>
      <ShortName>Basis of Presentation (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <Position>23</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>2309301 - Disclosure - Discontinued Operations and Dispositions (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DiscontinuedOperationsandDispositionsTables</Role>
      <ShortName>Discontinued Operations and Dispositions (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/DiscontinuedOperationsandDispositions</ParentRole>
      <Position>24</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>2313302 - Disclosure - Income per Unit (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/IncomeperUnitTables</Role>
      <ShortName>Income per Unit (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/IncomeperUnit</ParentRole>
      <Position>25</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>2317303 - Disclosure - Property, Equipment, Land, and Leasehold Improvements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/PropertyEquipmentLandandLeaseholdImprovementsTables</Role>
      <ShortName>Property, Equipment, Land, and Leasehold Improvements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/PropertyEquipmentLandandLeaseholdImprovements</ParentRole>
      <Position>26</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>2320304 - Disclosure - Intangible Assets and Goodwill (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/IntangibleAssetsandGoodwillTables</Role>
      <ShortName>Intangible Assets and Goodwill (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/IntangibleAssetsandGoodwill</ParentRole>
      <Position>27</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>2324305 - Disclosure - Long-Term Debt (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/LongTermDebtTables</Role>
      <ShortName>Long-Term Debt (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/LongTermDebt</ParentRole>
      <Position>28</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>2329306 - Disclosure - Derivative Instruments and Hedging Activities (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DerivativeInstrumentsandHedgingActivitiesTables</Role>
      <ShortName>Derivative Instruments and Hedging Activities (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/DerivativeInstrumentsandHedgingActivities</ParentRole>
      <Position>29</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>2334307 - Disclosure - Unitholders' Equity (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/UnitholdersEquityTables</Role>
      <ShortName>Unitholders' Equity (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/UnitholdersEquity</ParentRole>
      <Position>30</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>2339308 - Disclosure - Revenue Recognition (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RevenueRecognitionTables</Role>
      <ShortName>Revenue Recognition (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/RevenueRecognition</ParentRole>
      <Position>31</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>2343309 - Disclosure - Related Party Transactions (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RelatedPartyTransactionsTables</Role>
      <ShortName>Related Party Transactions (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/RelatedPartyTransactions</ParentRole>
      <Position>32</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>2402402 - Disclosure - Organization and Description of Business (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/OrganizationandDescriptionofBusinessDetails</Role>
      <ShortName>Organization and Description of Business (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/OrganizationandDescriptionofBusiness</ParentRole>
      <Position>33</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>2405403 - Disclosure - Basis of Presentation (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/BasisofPresentationDetails</Role>
      <ShortName>Basis of Presentation (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/BasisofPresentationPolicies</ParentRole>
      <Position>34</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>2407404 - Disclosure - Impact of COVID-19 (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/ImpactofCOVID19Details</Role>
      <ShortName>Impact of COVID-19 (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/ImpactofCOVID19</ParentRole>
      <Position>35</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>2410405 - Disclosure - Discontinued Operations and Dispositions - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DiscontinuedOperationsandDispositionsNarrativeDetails</Role>
      <ShortName>Discontinued Operations and Dispositions - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>36</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>2411406 - Disclosure - Discontinued Operations and Dispositions - Statement of Operations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DiscontinuedOperationsandDispositionsStatementofOperationsDetails</Role>
      <ShortName>Discontinued Operations and Dispositions - Statement of Operations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>37</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>2414407 - Disclosure - Income per Unit - Schedule of Reconciliation of the Basic and Diluted Income (Loss) per Unit Computations (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/IncomeperUnitScheduleofReconciliationoftheBasicandDilutedIncomeLossperUnitComputationsDetails</Role>
      <ShortName>Income per Unit - Schedule of Reconciliation of the Basic and Diluted Income (Loss) per Unit Computations (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>38</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>2415408 - Disclosure - Income per Unit - Schedule of Shares Excluded from Calculation (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/IncomeperUnitScheduleofSharesExcludedfromCalculationDetails</Role>
      <ShortName>Income per Unit - Schedule of Shares Excluded from Calculation (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>39</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>2418409 - Disclosure - Property, Equipment, Land, and Leasehold Improvements (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/PropertyEquipmentLandandLeaseholdImprovementsDetails</Role>
      <ShortName>Property, Equipment, Land, and Leasehold Improvements (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://www.macquarie.com/role/PropertyEquipmentLandandLeaseholdImprovementsTables</ParentRole>
      <Position>40</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>2421410 - Disclosure - Intangible Assets and Goodwill -Schedule of Intangible Assets (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/IntangibleAssetsandGoodwillScheduleofIntangibleAssetsDetails</Role>
      <ShortName>Intangible Assets and Goodwill -Schedule of Intangible Assets (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>41</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>2422411 - Disclosure - Intangible Assets and Goodwill - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/IntangibleAssetsandGoodwillNarrativeDetails</Role>
      <ShortName>Intangible Assets and Goodwill - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>42</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>2425412 - Disclosure - Long-Term Debt - Schedule of Long-Term Debt (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/LongTermDebtScheduleofLongTermDebtDetails</Role>
      <ShortName>Long-Term Debt - Schedule of Long-Term Debt (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>43</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>2426413 - Disclosure - Long-Term Debt - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/LongTermDebtNarrativeDetails</Role>
      <ShortName>Long-Term Debt - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>44</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>2427414 - Disclosure - Long-Term Debt - Schedule of Interest Expense (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/LongTermDebtScheduleofInterestExpenseDetails</Role>
      <ShortName>Long-Term Debt - Schedule of Interest Expense (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>45</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>2430415 - Disclosure - Derivative Instruments and Hedging Activities - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DerivativeInstrumentsandHedgingActivitiesNarrativeDetails</Role>
      <ShortName>Derivative Instruments and Hedging Activities - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>46</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>2431416 - Disclosure - Derivative Instruments and Hedging Activities - Schedule of Fair Value of Derivative Instruments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DerivativeInstrumentsandHedgingActivitiesScheduleofFairValueofDerivativeInstrumentsDetails</Role>
      <ShortName>Derivative Instruments and Hedging Activities - Schedule of Fair Value of Derivative Instruments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>47</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>2432417 - Disclosure - Derivative Instruments and Hedging Activities - Schedule of Location of Hedging Activities (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/DerivativeInstrumentsandHedgingActivitiesScheduleofLocationofHedgingActivitiesDetails</Role>
      <ShortName>Derivative Instruments and Hedging Activities - Schedule of Location of Hedging Activities (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>48</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>2435418 - Disclosure - Unitholders' Equity - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/UnitholdersEquityNarrativeDetails</Role>
      <ShortName>Unitholders' Equity - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>49</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>2436419 - Disclosure - Unitholders' Equity - Schedule of Unvested Stock Unit (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/UnitholdersEquityScheduleofUnvestedStockUnitDetails</Role>
      <ShortName>Unitholders' Equity - Schedule of Unvested Stock Unit (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>50</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R51.htm</HtmlFileName>
      <LongName>2437420 - Disclosure - Unitholders' Equity - Schedule of Accumulated Other Comprehensive Loss (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/UnitholdersEquityScheduleofAccumulatedOtherComprehensiveLossDetails</Role>
      <ShortName>Unitholders' Equity - Schedule of Accumulated Other Comprehensive Loss (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>51</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R52.htm</HtmlFileName>
      <LongName>2440421 - Disclosure - Revenue Recognition - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RevenueRecognitionNarrativeDetails</Role>
      <ShortName>Revenue Recognition - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>52</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R53.htm</HtmlFileName>
      <LongName>2441422 - Disclosure - Revenue Recognition - Schedule of Revenue from External Customers (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RevenueRecognitionScheduleofRevenuefromExternalCustomersDetails</Role>
      <ShortName>Revenue Recognition - Schedule of Revenue from External Customers (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>53</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R54.htm</HtmlFileName>
      <LongName>2444423 - Disclosure - Related Party Transactions - Narrative (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RelatedPartyTransactionsNarrativeDetails</Role>
      <ShortName>Related Party Transactions - Narrative (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>54</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R55.htm</HtmlFileName>
      <LongName>2445424 - Disclosure - Related Party Transactions - Schedule of Dividends Paid to Manager (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RelatedPartyTransactionsScheduleofDividendsPaidtoManagerDetails</Role>
      <ShortName>Related Party Transactions - Schedule of Dividends Paid to Manager (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>55</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R56.htm</HtmlFileName>
      <LongName>2446425 - Disclosure - Related Party Transactions - Schedule of Base Management Fees and Performance Fees (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.macquarie.com/role/RelatedPartyTransactionsScheduleofBaseManagementFeesandPerformanceFeesDetails</Role>
      <ShortName>Related Party Transactions - Schedule of Base Management Fees and Performance Fees (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>56</Position>
    </Report>
    <Report instance="mic-20220331.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9999.htm</HtmlFileName>
      <LongName>Uncategorized Items - mic-20220331.htm</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/role/uncategorizedFacts</Role>
      <ShortName>Uncategorized Items - mic-20220331.htm</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>57</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="mic-20220331.htm">mic-20220331.htm</File>
    <File>mic-20220331.xsd</File>
    <File>mic-20220331_cal.xml</File>
    <File>mic-20220331_def.xml</File>
    <File>mic-20220331_lab.xml</File>
    <File>mic-20220331_pre.xml</File>
    <File>mih-20220331xex311.htm</File>
    <File>mih-20220331xex312.htm</File>
    <File>mih-20220331xex321.htm</File>
    <File>mih-20220331xex322.htm</File>
  </InputFiles>
  <SupplementalFiles/>
  <BaseTaxonomies>
    <BaseTaxonomy items="558">http://fasb.org/us-gaap/2021-01-31</BaseTaxonomy>
    <BaseTaxonomy items="29">http://xbrl.sec.gov/dei/2021q4</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
