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Investments - Summary of Company's Investment Securities (Detail) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Investment Securities [Line Items]    
Amortized Cost $ 119,119us-gaap_AvailableForSaleSecuritiesAmortizedCost $ 126,873us-gaap_AvailableForSaleSecuritiesAmortizedCost
Gross Unrealized Gains 6,648us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains 5,666us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
Gross Unrealized Losses (682)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss (2,291)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
Fair Value 125,085us-gaap_InvestmentsFairValueDisclosure 130,248us-gaap_InvestmentsFairValueDisclosure
Preferred Stock    
Investment Securities [Line Items]    
Amortized Cost 1,500us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= us-gaap_PreferredStockMember
1,500us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_PreferredStockMember
Gross Unrealized Gains 267us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
/ us-gaap_InvestmentTypeAxis
= us-gaap_PreferredStockMember
78us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_PreferredStockMember
Fair Value 1,767us-gaap_InvestmentsFairValueDisclosure
/ us-gaap_InvestmentTypeAxis
= us-gaap_PreferredStockMember
1,578us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_PreferredStockMember
Equity Funds    
Investment Securities [Line Items]    
Amortized Cost 9,901us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquityFundsMember
9,901us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_EquityFundsMember
Gross Unrealized Gains 403us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_EquityFundsMember
836us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_EquityFundsMember
Gross Unrealized Losses (8)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
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= us-gaap_EquityFundsMember
 
Fair Value 10,296us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_EquityFundsMember
10,737us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_EquityFundsMember
Fixed Maturities    
Investment Securities [Line Items]    
Amortized Cost 107,718us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_FixedMaturitiesMember
115,472us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 5,978us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
4,752us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Gross Unrealized Losses (674)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
(2,291)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Fair Value 113,022us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_FixedMaturitiesMember
117,933us-gaap_InvestmentsFairValueDisclosure
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | US Government Agencies Debt Securities    
Investment Securities [Line Items]    
Amortized Cost 8,039us-gaap_AvailableForSaleSecuritiesAmortizedCost
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12,006us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 277us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
/ us-gaap_InvestmentTypeAxis
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= us-gaap_FixedMaturitiesMember
495us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Losses (26)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
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= us-gaap_FixedMaturitiesMember
(16)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
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= us-gaap_USGovernmentAgenciesDebtSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Fair Value 8,290us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_FixedMaturitiesMember
12,485us-gaap_InvestmentsFairValueDisclosure
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/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | State Securities    
Investment Securities [Line Items]    
Amortized Cost 698us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= fac_StateSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
697us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= fac_StateSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 27us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
39us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_FixedMaturitiesMember
Fair Value 725us-gaap_InvestmentsFairValueDisclosure
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736us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_FixedMaturitiesMember
Fixed Maturities | Political Subdivisions Securities    
Investment Securities [Line Items]    
Amortized Cost 500us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= fac_PoliticalSubdivisionsSecuritiesMember
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= us-gaap_FixedMaturitiesMember
1,601us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
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/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 6us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
/ us-gaap_InvestmentTypeAxis
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/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
51us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_FixedMaturitiesMember
Fair Value 506us-gaap_InvestmentsFairValueDisclosure
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/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
1,652us-gaap_InvestmentsFairValueDisclosure
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= fac_PoliticalSubdivisionsSecuritiesMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | Revenue And Assessment Securities    
Investment Securities [Line Items]    
Amortized Cost 14,856us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= fac_RevenueAndAssessmentSecuritiesMember
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13,050us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 1,522us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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579us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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Gross Unrealized Losses (18)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
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(11)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
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= us-gaap_FixedMaturitiesMember
Fair Value 16,360us-gaap_InvestmentsFairValueDisclosure
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13,618us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_FixedMaturitiesMember
Fixed Maturities | Corporate Bond Securities    
Investment Securities [Line Items]    
Amortized Cost 73,051us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_CorporateBondSecuritiesMember
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73,461us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 2,698us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_FixedMaturitiesMember
2,127us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Losses (630)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
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= us-gaap_FixedMaturitiesMember
(2,263)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
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= us-gaap_CorporateBondSecuritiesMember
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= us-gaap_FixedMaturitiesMember
Fair Value 75,119us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_CorporateBondSecuritiesMember
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= us-gaap_FixedMaturitiesMember
73,325us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_FixedMaturitiesMember
Fixed Maturities | Agency Backed [Member]    
Investment Securities [Line Items]    
Amortized Cost 4,647us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_FixedMaturitiesMember
7,113us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_AgencySecuritiesMember
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 160us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_AgencySecuritiesMember
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= us-gaap_FixedMaturitiesMember
401us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_FixedMaturitiesMember
Fair Value 4,807us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_AgencySecuritiesMember
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= us-gaap_FixedMaturitiesMember
7,514us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_FixedMaturitiesMember
Fixed Maturities | Collateralized Non Agency Backed Residential Obligations    
Investment Securities [Line Items]    
Amortized Cost 3,513us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
= fac_CollateralizedNonAgencyBackedResidentialObligationsMember
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4,181us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= fac_CollateralizedNonAgencyBackedResidentialObligationsMember
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 624us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
/ us-gaap_InvestmentTypeAxis
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= us-gaap_FixedMaturitiesMember
480us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Losses   (1)us-gaap_AvailableForSaleSecuritiesGrossUnrealizedLoss
/ us-gaap_InvestmentTypeAxis
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= us-gaap_FixedMaturitiesMember
Fair Value 4,137us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_FixedMaturitiesMember
4,660us-gaap_InvestmentsFairValueDisclosure
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= us-gaap_FixedMaturitiesMember
Fixed Maturities | Collateralized Non Agency Backed Commercial Obligations    
Investment Securities [Line Items]    
Amortized Cost 2,414us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_InvestmentTypeAxis
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3,363us-gaap_AvailableForSaleSecuritiesAmortizedCost
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= us-gaap_FixedMaturitiesMember
Gross Unrealized Gains 664us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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580us-gaap_AvailableForSaleSecuritiesGrossUnrealizedGains
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= us-gaap_FixedMaturitiesMember
Fair Value $ 3,078us-gaap_InvestmentsFairValueDisclosure
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$ 3,943us-gaap_InvestmentsFairValueDisclosure
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