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v3.22.4

Commitments and Contingencies - Additional Information (Details) - USD ($) $ in Millions | Dec. 31, 2022 | Dec. 31, 2021
--- | --- | ---
Loss Contingencies [Line Items] |  |
Indemnity liability | $ 4.4 | $ 7.9
Total liability |  | 5.5
Total insurance receivable |  | $ 2.1

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

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- 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

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