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Managed Investment Entities (Details Textual) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Dec. 31, 2014
collateralizedloanobligation
Dec. 31, 2013
collateralizedloanobligation
Dec. 31, 2012
collateralizedloanobligation
Variable Interest Entity [Line Items]      
Percentage of investment of most subordinate debt tranche, Minimum 15.00%afg_PercentageOfInvestmentOfMostSubordinateDebtTrancheOfVariableInterestEntityMinimum    
Percentage of investment of most subordinate debt tranche, Maximum 51.20%afg_PercentageOfInvestmentOfMostSubordinateDebtTrancheOfVariableInterestEntityMaximum    
Number of collateralized loan obligation entities 12afg_NumberOfCollateralizedLoanObligationEntities    
Number of collateralized loan obligation entities formed during the period 2afg_NumberOfCollateralizedLoanObligationEntitiesFormedDuringThePeriod 2afg_NumberOfCollateralizedLoanObligationEntitiesFormedDuringThePeriod 2afg_NumberOfCollateralizedLoanObligationEntitiesFormedDuringThePeriod
Proceeds received by subsidiaries related to redemptions of managed investment entities liabilities $ 81afg_ProceedsReceivedBySubsidiariesRelatedtoRedemptionsofManagedInvestmentEntitiesLiabilities $ 142afg_ProceedsReceivedBySubsidiariesRelatedtoRedemptionsofManagedInvestmentEntitiesLiabilities $ 12afg_ProceedsReceivedBySubsidiariesRelatedtoRedemptionsofManagedInvestmentEntitiesLiabilities
Number of collateralized loan obligation entities that were substantially liquidated during the period 4afg_NumberOfCollateralizedLoanObligationEntitiesSubstantiallyLiquidatedDuringThePeriod 2afg_NumberOfCollateralizedLoanObligationEntitiesSubstantiallyLiquidatedDuringThePeriod  
Difference between aggregate unpaid principal balance and fair value of CLOs' fixed maturity investments 83afg_DifferenceBetweenAggregateUnpaidPrincipalBalanceAndFairValueOfVariableInterestEntityInvestments 15afg_DifferenceBetweenAggregateUnpaidPrincipalBalanceAndFairValueOfVariableInterestEntityInvestments  
Difference between aggregate unpaid principal balance and fair value of CLOs' debt 131afg_DifferenceBetweenAggregateUnpaidPrincipalBalanceAndFairValueOfVariableInterestEntityDebt 109afg_DifferenceBetweenAggregateUnpaidPrincipalBalanceAndFairValueOfVariableInterestEntityDebt  
Carrying amount of CLO loans in default 2afg_CarryingAmountOfVariableInterestEntityLoansInDefault 1afg_CarryingAmountOfVariableInterestEntityLoansInDefault  
Aggregate unpaid principal balance of CLO loans in default 6afg_AggregateUnpaidPrincipalBalanceOfVariableInterestEntityLoansInDefault 6afg_AggregateUnpaidPrincipalBalanceOfVariableInterestEntityLoansInDefault  
Variable Interest Entity, Primary Beneficiary [Member]      
Variable Interest Entity [Line Items]      
Aggregate fair value of investment in collateralized loan obligations 289us-gaap_VariableInterestEntityEntityMaximumLossExposureAmount
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember		 271us-gaap_VariableInterestEntityEntityMaximumLossExposureAmount
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember		  
New Collateralized Loan Obligation Entities [Member]      
Variable Interest Entity [Line Items]      
Face value of liabilities issued by managed investment entities on issuance date 917afg_FaceValueOfLiabilitiesIssuedByManagedInvestmentEntitiesOnIssuanceDate
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationEntitiesMember		 829afg_FaceValueOfLiabilitiesIssuedByManagedInvestmentEntitiesOnIssuanceDate
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationEntitiesMember		 860afg_FaceValueOfLiabilitiesIssuedByManagedInvestmentEntitiesOnIssuanceDate
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationEntitiesMember
Face amount of managed investment entities liabilities purchased by subsidiaries at issuance date 94afg_FaceAmountOfManagedInvestmentEntitiesLiabilitiesPurchasedBySubsidiariesAtIssuanceDate
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationEntitiesMember		 85afg_FaceAmountOfManagedInvestmentEntitiesLiabilitiesPurchasedBySubsidiariesAtIssuanceDate
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationEntitiesMember		 74afg_FaceAmountOfManagedInvestmentEntitiesLiabilitiesPurchasedBySubsidiariesAtIssuanceDate
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationEntitiesMember
Subordinated Debt Obligations [Member] | Variable Interest Entity, Primary Beneficiary [Member]      
Variable Interest Entity [Line Items]      
Aggregate fair value of investment in collateralized loan obligations 92us-gaap_VariableInterestEntityEntityMaximumLossExposureAmount
/ us-gaap_DebtInstrumentAxis
= us-gaap_SubordinatedDebtObligationsMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember		    
Senior Debt Obligations [Member]      
Variable Interest Entity [Line Items]      
Face amount of managed investment entities liabilities purchased by subsidiaries after issuance date 13afg_FaceAmountOfManagedInvestmentEntitiesLiabilitiesPurchasedBySubsidiariesAfterIssuanceDate
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorDebtObligationsMember		 94afg_FaceAmountOfManagedInvestmentEntitiesLiabilitiesPurchasedBySubsidiariesAfterIssuanceDate
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorDebtObligationsMember		 74afg_FaceAmountOfManagedInvestmentEntitiesLiabilitiesPurchasedBySubsidiariesAfterIssuanceDate
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorDebtObligationsMember
Amount paid by subsidiaries to purchase managed investment entities liabilities after issuance date $ 13afg_AmountPaidBySubsidiariesToPurchaseManagedInvestmentEntitiesLiabilitiesAfterIssuanceDate.
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorDebtObligationsMember		 $ 89afg_AmountPaidBySubsidiariesToPurchaseManagedInvestmentEntitiesLiabilitiesAfterIssuanceDate.
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorDebtObligationsMember		 $ 69afg_AmountPaidBySubsidiariesToPurchaseManagedInvestmentEntitiesLiabilitiesAfterIssuanceDate.
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorDebtObligationsMember