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Commitments and Contingencies - Additional Information (Details) - USD ($) $ in Millions | Sep. 30, 2021 | Dec. 31, 2020
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Commitments And Contingencies Disclosure [Abstract] |  |
Indemnity liability | $ 8.1 | $ 8.1
Total liability settlement and related to administrative fees | 6.3 | 6.3
Total insurance recoverable asset | $ 2.2 | $ 2.2

X
- Definition Indemnity Liabilities + References No definition available. + Details
Name: | fa_IndemnityLiability
Namespace Prefix: | fa_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Total insurance recoverable asset + References No definition available. + Details
Name: | fa_TotalInsuranceRecoverableAsset
Namespace Prefix: | fa_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Total lability settlement and related to administrative fees + References No definition available. + Details
Name: | fa_TotalLabilitySettlementAndRelatedToAdministrativeFees
Namespace Prefix: | fa_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- References No definition available. + Details
Name: | us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration