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Derivatives (Details) (Not Designated as Hedging Instrument [Member], USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value $ 499us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral $ 433us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
Derivative liability, at fair value 1,173us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral 814us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral
MBS with embedded derivatives [Member] | Fixed maturities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 158us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_FixedMaturitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_MortgageBackedSecuritiesWithEmbeddedDerivativesMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
140us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_FixedMaturitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_MortgageBackedSecuritiesWithEmbeddedDerivativesMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Public company warrants [Member] | Equity securities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 19us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_EquitySecuritiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_WarrantMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
19us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_EquitySecuritiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_WarrantMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Interest rate swaptions [Member] | Other investments [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 0us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
2us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Fixed-indexed annuities (embedded derivative) [Member] | Annuity benefits accumulated [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative liability, at fair value 1,160us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= afg_AnnuityBenefitsAccumulatedMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_FixedIndexedAnnuitiesEmbeddedDerivativeMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
804us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= afg_AnnuityBenefitsAccumulatedMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_FixedIndexedAnnuitiesEmbeddedDerivativeMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Equity index call options [Member] | Other investments [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value 322us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_EquityIndexCallOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
272us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_EquityIndexCallOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
Reinsurance contracts (embedded derivative) [Member] | Other liabilities [Member]    
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative liability, at fair value $ 13us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_OtherContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
$ 10us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_OtherContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember