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Managed Investment Entities (Details Textual) (USD $)
In Millions, unless otherwise specified
 3 Months Ended
Mar. 31, 2015
collateralizedloanobligation
Mar. 31, 2014
Dec. 31, 2014
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    
Proceeds received by subsidiaries related to redemptions of managed investment entities liabilities $ 1afg_ProceedsReceivedBySubsidiariesRelatedtoRedemptionsofManagedInvestmentEntitiesLiabilities $ 29afg_ProceedsReceivedBySubsidiariesRelatedtoRedemptionsofManagedInvestmentEntitiesLiabilities  
Difference between aggregate unpaid principal balance and fair value of CLOs' fixed maturity investments 54afg_DifferenceBetweenAggregateUnpaidPrincipalBalanceAndFairValueOfVariableInterestEntityInvestments   83afg_DifferenceBetweenAggregateUnpaidPrincipalBalanceAndFairValueOfVariableInterestEntityInvestments
Difference between aggregate unpaid principal balance and carrying value of CLOs' debt 119afg_DifferenceBetweenAggregateUnpaidPrincipalBalanceAndFairValueOfVariableInterestEntityDebt   131afg_DifferenceBetweenAggregateUnpaidPrincipalBalanceAndFairValueOfVariableInterestEntityDebt
Carrying amount of CLO loans in default 5afg_CarryingAmountOfVariableInterestEntityLoansInDefault   2afg_CarryingAmountOfVariableInterestEntityLoansInDefault
Aggregate unpaid principal balance of CLO loans in default 10afg_AggregateUnpaidPrincipalBalanceOfVariableInterestEntityLoansInDefault   6afg_AggregateUnpaidPrincipalBalanceOfVariableInterestEntityLoansInDefault
Variable interest entity, primary beneficiary [Member]      
Variable Interest Entity [Line Items]      
Aggregate fair value of investment in collateralized loan obligations 325us-gaap_VariableInterestEntityEntityMaximumLossExposureAmount
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember		   289us-gaap_VariableInterestEntityEntityMaximumLossExposureAmount
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
Subordinated debt obligations [Member] | Variable interest entity, primary beneficiary [Member]      
Variable Interest Entity [Line Items]      
Aggregate fair value of investment in collateralized loan obligations 127us-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   3afg_FaceAmountOfManagedInvestmentEntitiesLiabilitiesPurchasedBySubsidiariesAfterIssuanceDate
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorDebtObligationsMember		  
Amount paid by subsidiaries to purchase managed investment entities liabilities after issuance date   $ 3afg_AmountPaidBySubsidiariesToPurchaseManagedInvestmentEntitiesLiabilitiesAfterIssuanceDate.
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorDebtObligationsMember