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Fair Value Measurements (Details 5) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Financial assets:        
Cash and cash equivalents $ 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,639us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,705us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,324us-gaap_CashAndCashEquivalentsAtCarryingValue
Mortgage loans 1,117us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet 781us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet    
Policy loans 228us-gaap_LoansInsurancePolicy 238us-gaap_LoansInsurancePolicy    
Financial liabilities:        
Long-term debt 1,061us-gaap_LongTermDebt 913us-gaap_LongTermDebt    
Level 1 [Member]        
Financial assets:        
Cash and cash equivalents 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 1,639us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		    
Mortgage loans 0us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 0us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		    
Policy loans 0us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 0us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		    
Total financial assets not accounted for at fair value 1,343afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 1,639afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		    
Financial liabilities:        
Annuity benefits accumulated 0afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 [1] 0afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 [1]    
Long-term debt 0us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 0us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		    
Total financial liabilities not accounted for at fair value 0afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 0afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		    
Level 2 [Member]        
Financial assets:        
Cash and cash equivalents 0us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 0us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		    
Mortgage loans 0us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 0us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		    
Policy loans 0us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 0us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		    
Total financial assets not accounted for at fair value 0afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 0afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		    
Financial liabilities:        
Annuity benefits accumulated 0afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 [1] 0afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 [1]    
Long-term debt 1,106us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 909us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		    
Total financial liabilities not accounted for at fair value 1,106afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 909afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		    
Level 3 [Member]        
Financial assets:        
Cash and cash equivalents 0us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 0us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Mortgage loans 1,124us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 779us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Policy loans 228us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 238us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Total financial assets not accounted for at fair value 1,352afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 1,017afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Financial liabilities:        
Annuity benefits accumulated 23,187afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 [1] 19,959afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 [1]    
Long-term debt 74us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 76us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Total financial liabilities not accounted for at fair value 23,261afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 20,035afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Carrying Value [Member]        
Financial assets:        
Cash and cash equivalents 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 1,639us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Mortgage loans 1,117us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 781us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Policy loans 228us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 238us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Total financial assets not accounted for at fair value 2,688afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 2,658afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Financial liabilities:        
Annuity benefits accumulated 23,561afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 [1] 20,741afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 [1]    
Long-term debt 1,061us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 913us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Total financial liabilities not accounted for at fair value 24,622afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 21,654afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Fair Value [Member]        
Financial assets:        
Cash and cash equivalents 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 1,639us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Mortgage loans 1,124us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 779us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Policy loans 228us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 238us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Total financial assets not accounted for at fair value 2,695afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 2,656afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Financial liabilities:        
Annuity benefits accumulated 23,187afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 [1] 19,959afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 [1]    
Long-term debt 1,180us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 985us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Total financial liabilities not accounted for at fair value $ 24,367afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 $ 20,944afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
[1] Excludes life contingent annuities in the payout phase.