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v3.22.2.2

Leases (Additional Information) (Details) | Sep. 30, 2022
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Maximum [Member] |
Lessee, Lease, Description [Line Items] |
Lease term of contract | 9 years
Lease term of contract in majority | 5 years
Renewal lease terms | 5 years
Minimum [Member] |
Lessee, Lease, Description [Line Items] |
Lease term of contract | 1 year
Lease term of contract in majority | 3 years
Renewal lease terms | 1 year

X
- Definition Term of lessee's operating lease and finance lease. + References No definition available. + Details
Name: | fa_LesseeOperatingAndFinanceLeaseTermOfContract
Namespace Prefix: | fa_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | instant

X
- Definition Lessee operating and finance lease term of contract in majority. + References No definition available. + Details
Name: | fa_LesseeOperatingAndFinanceLeaseTermOfContractInMajority
Namespace Prefix: | fa_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | instant

X
- Definition Term of lessee's operating and Finance lease renewal. + References No definition available. + Details
Name: | fa_LesseeOperatingAndFinancingLeaseRenewalTerm
Namespace Prefix: | fa_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | instant

X
- 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_LesseeLeaseDescriptionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Details
Name: | srt_RangeAxis=srt_MaximumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_RangeAxis=srt_MinimumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |