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Derivatives (Details) (Not Designated as Hedging Instrument [Member], USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Derivatives included in AFG' s Balance Sheet at fair value    
Derivative asset, at fair value $ 480us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral $ 499us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
Derivative liability, at fair value 1,256us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral 1,173us-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 164us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_FixedMaturitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_MortgageBackedSecuritiesWithEmbeddedDerivativesMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
158us-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 0us-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
0us-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 1,243us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= afg_AnnuityBenefitsAccumulatedMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_FixedIndexedAnnuitiesEmbeddedDerivativeMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
1,160us-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 316us-gaap_DerivativeFairValueOfDerivativeAssetAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
/ us-gaap_DerivativeInstrumentRiskAxis
= afg_EquityIndexCallOptionsMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember
322us-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
$ 13us-gaap_DerivativeFairValueOfDerivativeLiabilityAmountNotOffsetAgainstCollateral
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherLiabilitiesMember
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_OtherContractMember
/ us-gaap_HedgingDesignationAxis
= us-gaap_NondesignatedMember