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Income Taxes (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Reconciliation of income taxes at the statutory rate and income taxes shown in the Statement of Earnings      
Earnings before income taxes (“EBT”) $ 626us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments $ 689us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments $ 537us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Income taxes at statutory rate 219us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 241us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 188us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
Income taxes at statutory rate as a percentage of EBT 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate 35.00%us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate
Effect of tax exempt interest (25)us-gaap_IncomeTaxReconciliationTaxExemptIncome (21)us-gaap_IncomeTaxReconciliationTaxExemptIncome (23)us-gaap_IncomeTaxReconciliationTaxExemptIncome
Effect of tax exempt interest as a percentage of EBT (4.00%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome (3.00%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome (4.00%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome
Effect of losses of managed investment entities 18afg_IncomeTaxReconciliationNondeductibleLossesOfManagedInvestmentEntities 9afg_IncomeTaxReconciliationNondeductibleLossesOfManagedInvestmentEntities 34afg_IncomeTaxReconciliationNondeductibleLossesOfManagedInvestmentEntities
Effect of losses of managed investment entities as a percentage of EBT 3.00%afg_EffectiveIncomeTaxRateReconciliationNondeductibleLossesOfManagedInvestmentEntities 1.00%afg_EffectiveIncomeTaxRateReconciliationNondeductibleLossesOfManagedInvestmentEntities 6.00%afg_EffectiveIncomeTaxRateReconciliationNondeductibleLossesOfManagedInvestmentEntities
Effect of change in valuation allowance 7us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 1us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 3us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
Effect of change in valuation allowance as a percentage of EBT 1.00%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance 0.00%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance 1.00%us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance
Effect of subsidiaries not in AFG's tax return 1afg_IncomeTaxReconciliationSubsidiariesNotInCompanysTaxReturn 2afg_IncomeTaxReconciliationSubsidiariesNotInCompanysTaxReturn (1)afg_IncomeTaxReconciliationSubsidiariesNotInCompanysTaxReturn
Effect of subsidiaries not in AFG's tax return as a percentage of EBT 0.00%afg_EffectiveIncomeTaxRateReconciliationSubsidiariesNotInCompanysTaxReturn 0.00%afg_EffectiveIncomeTaxRateReconciliationSubsidiariesNotInCompanysTaxReturn 0.00%afg_EffectiveIncomeTaxRateReconciliationSubsidiariesNotInCompanysTaxReturn
Effect of tax case and settlement of open tax years 0us-gaap_IncomeTaxReconciliationTaxSettlements 0us-gaap_IncomeTaxReconciliationTaxSettlements (67)us-gaap_IncomeTaxReconciliationTaxSettlements
Effect of tax case and settlement of open tax years as a percentage of EBT 0.00%us-gaap_EffectiveIncomeTaxRateReconciliationTaxSettlements 0.00%us-gaap_EffectiveIncomeTaxRateReconciliationTaxSettlements (13.00%)us-gaap_EffectiveIncomeTaxRateReconciliationTaxSettlements
Effect of other income tax reconciliation 0us-gaap_IncomeTaxReconciliationOtherAdjustments 4us-gaap_IncomeTaxReconciliationOtherAdjustments 1us-gaap_IncomeTaxReconciliationOtherAdjustments
Effect of other income tax reconciliation as a percentage of EBT 0.00%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 1.00%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments 0.00%us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments
Provision for income taxes as shown in the Statement of Earnings $ 220us-gaap_IncomeTaxExpenseBenefit $ 236us-gaap_IncomeTaxExpenseBenefit $ 135us-gaap_IncomeTaxExpenseBenefit
Provision for income taxes as shown in the Statement of Earnings as a percentage of EBT 35.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations 34.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations 25.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations