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Investments (Details 6) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Realized gains (losses) and changes in unrealized appreciation (depreciation) related to fixed maturity and equity security investments      
Realized before impairments $ 88us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments $ 233us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments $ 236us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
Realized - impairments (36)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities (12)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities (26)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
Fixed maturities [Member]      
Realized gains (losses) and changes in unrealized appreciation (depreciation) related to fixed maturity and equity security investments      
Realized before impairments 36us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
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= us-gaap_FixedMaturitiesMember
36us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
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= us-gaap_FixedMaturitiesMember
55us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
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= us-gaap_FixedMaturitiesMember
Realized - impairments (15)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
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(5)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
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= us-gaap_FixedMaturitiesMember
(9)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
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= us-gaap_FixedMaturitiesMember
Change in unrealized 570afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
(945)afg_ChangeInUnrealizedAppreciationDepreciation
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= us-gaap_FixedMaturitiesMember
790afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Equity securities [Member]      
Realized gains (losses) and changes in unrealized appreciation (depreciation) related to fixed maturity and equity security investments      
Realized before impairments 53us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
196us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
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= us-gaap_EquitySecuritiesMember
192us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
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= us-gaap_EquitySecuritiesMember
Realized - impairments (26)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
(5)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
(24)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
Change in unrealized 26afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
31afg_ChangeInUnrealizedAppreciationDepreciation
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= us-gaap_EquitySecuritiesMember
(23)afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
Mortgage Loans and Other Investments [Member]      
Realized gains (losses) and changes in unrealized appreciation (depreciation) related to fixed maturity and equity security investments      
Realized before impairments 1us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MortgageLoansAndOtherInvestmentsMember
2us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
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= afg_MortgageLoansAndOtherInvestmentsMember
(3)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MortgageLoansAndOtherInvestmentsMember
Realized - impairments 0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MortgageLoansAndOtherInvestmentsMember
(5)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MortgageLoansAndOtherInvestmentsMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MortgageLoansAndOtherInvestmentsMember
Change in unrealized 0afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MortgageLoansAndOtherInvestmentsMember
0afg_ChangeInUnrealizedAppreciationDepreciation
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= afg_MortgageLoansAndOtherInvestmentsMember
0afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MortgageLoansAndOtherInvestmentsMember
Other, Including DPAC and Reserves on Annuity and Long-term Care [Member]      
Realized gains (losses) and changes in unrealized appreciation (depreciation) related to fixed maturity and equity security investments      
Realized before impairments (2)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
(1)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
(8)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
Realized - impairments 5us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
3us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
7us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
Change in unrealized (314)afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
504afg_ChangeInUnrealizedAppreciationDepreciation
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= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
(379)afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_OtherIncludingDPACandReservesonAnnuityandLongtermCareMember
Tax Effects [Member]      
Realized gains (losses) and changes in unrealized appreciation (depreciation) related to fixed maturity and equity security investments      
Realized before impairments (32)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_TaxEffectsMember
(82)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_TaxEffectsMember
(83)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_TaxEffectsMember
Realized - impairments 13us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
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= afg_TaxEffectsMember
4us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
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= afg_TaxEffectsMember
9us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_TaxEffectsMember
Change in unrealized (99)afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_TaxEffectsMember
144afg_ChangeInUnrealizedAppreciationDepreciation
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= afg_TaxEffectsMember
(136)afg_ChangeInUnrealizedAppreciationDepreciation
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= afg_TaxEffectsMember
Noncontrolling Interests [Member]      
Realized gains (losses) and changes in unrealized appreciation (depreciation) related to fixed maturity and equity security investments      
Realized before impairments (2)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_NoncontrollingInterestMember
(2)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_NoncontrollingInterestMember
(2)us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_NoncontrollingInterestMember
Realized - impairments 1us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_NoncontrollingInterestMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_NoncontrollingInterestMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_NoncontrollingInterestMember
Change in unrealized (3)afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_NoncontrollingInterestMember
6afg_ChangeInUnrealizedAppreciationDepreciation
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= us-gaap_NoncontrollingInterestMember
(7)afg_ChangeInUnrealizedAppreciationDepreciation
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= us-gaap_NoncontrollingInterestMember
Marketable Securities [Member]      
Realized gains (losses) and changes in unrealized appreciation (depreciation) related to fixed maturity and equity security investments      
Realized before impairments 54us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MarketableSecuritiesMember
149us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MarketableSecuritiesMember
151us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments
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= afg_MarketableSecuritiesMember
Realized - impairments (22)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MarketableSecuritiesMember
(8)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MarketableSecuritiesMember
(17)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MarketableSecuritiesMember
Change in unrealized $ 180afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MarketableSecuritiesMember
$ (260)afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MarketableSecuritiesMember
$ 245afg_ChangeInUnrealizedAppreciationDepreciation
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_MarketableSecuritiesMember