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Investments (Details 3) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
The scheduled maturities of available for sale fixed maturities  
Fixed maturities amortized cost, One year or less $ 888us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost
Fixed maturities fair value, One year or less 906us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue
Fixed maturities fair value, One year or less, Percent 3.00%afg_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValuePercent
Fixed maturities amortized cost, After one year through five years 4,803us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost
Fixed maturities fair value, After one year through five years 5,142us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
Fixed maturities fair value, After one year through five years, Percent 17.00%afg_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValuePercent
Fixed maturities amortized cost, After five years through ten years 8,797us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost
Fixed maturities fair value, After five years through ten years 9,211us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue
Fixed maturities fair value, After five years through ten years, Percent 30.00%afg_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValuePercent
Fixed maturities amortized cost, After ten years 4,374us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost
Fixed maturities fair value, After ten years 4,695us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue
Fixed maturities fair value, After ten years, Percent 15.00%afg_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValuePercent
Fixed maturities amortized cost, Subtotal 18,862afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsAmortizedCost
Fixed maturities fair value, Subtotal 19,954afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValue
Fixed maturities fair value, Subtotal, Percent 65.00%afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValuePercent
Fixed maturities amortized cost, ABS 3,872afg_AvailableForSaleSecuritiesAbsAmortizedCost
Fixed maturities fair value, ABS 3,887afg_AvailableForSaleSecuritiesAbsFairValue
Fixed maturities fair value, ABS, Percent 13.00%afg_AvailableForSaleSecuritiesAbsFairValuePercent
Fixed maturities amortized cost, MBS 6,340afg_AvailableForSaleSecuritiesMbsAmortizedCost
Fixed maturities fair value, MBS 6,893us-gaap_MortgageBackedSecuritiesAvailableForSaleFairValueDisclosure
Fixed maturities fair value, MBS, Percent 22.00%afg_AvailableForSaleSecuritiesMbsFairValuePercent
Fixed maturity [Member]  
The scheduled maturities of available for sale fixed maturities  
Amortized Cost 29,074us-gaap_AvailableForSaleSecuritiesAmortizedCost
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Fair Value $ 30,734us-gaap_AvailableForSaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Fair value, Total, Percent 100.00%afg_AvailableForSaleSecuritiesDebtMaturitiesFairValuePercent
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember