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Segment Information - Selected Financial Data by Business Segment (Detail) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Segment Reporting Information [Line Items]                      
Revenues $ 67,928us-gaap_Revenues $ 65,604us-gaap_Revenues $ 67,120us-gaap_Revenues $ 62,542us-gaap_Revenues $ 59,152us-gaap_Revenues $ 59,578us-gaap_Revenues $ 62,493us-gaap_Revenues $ 59,289us-gaap_Revenues $ 263,194us-gaap_Revenues $ 240,512us-gaap_Revenues $ 228,059us-gaap_Revenues
Income (loss) before income taxes 3,076us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 2,377us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 3,723us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 547us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 3,363us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 2,096us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 2,254us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 2,117us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 9,723us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 9,830us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments (9,045)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Total assets 328,575us-gaap_Assets       273,707us-gaap_Assets       328,575us-gaap_Assets 273,707us-gaap_Assets  
Insurance [Member]                      
Segment Reporting Information [Line Items]                      
Revenues                 263,133us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
240,460us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
227,966us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
Income (loss) before income taxes                 12,549us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
12,748us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
(4,588)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
Total assets 302,529us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
      262,869us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
      302,529us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
262,869us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fac_InsuranceMember
 
Real Estate and Corporate [Member]                      
Segment Reporting Information [Line Items]                      
Revenues                 61us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
52us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
93us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
Income (loss) before income taxes                 (2,826)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
(2,918)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
(4,457)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
Total assets $ 26,046us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
      $ 10,838us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
      $ 26,046us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember
$ 10,838us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= fac_RealEstateAndCorporateMember