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Fair Value Measurements (Details 4) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Mar. 31, 2014
Dec. 31, 2013
Financial assets:        
Cash and cash equivalents $ 1,212us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,876us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,639us-gaap_CashAndCashEquivalentsAtCarryingValue
Mortgage loans 1,091us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet 1,117us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet    
Policy loans 226us-gaap_LoansInsurancePolicy 228us-gaap_LoansInsurancePolicy    
Financial liabilities:        
Long-term debt 1,061us-gaap_LongTermDebt 1,061us-gaap_LongTermDebt    
Level 1 [Member]        
Financial assets:        
Cash and cash equivalents 1,212us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 1,343us-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 1,212afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member		 1,343afg_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 1,123us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 1,106us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		    
Total financial liabilities not accounted for at fair value 1,123afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member		 1,106afg_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 1,100us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 1,124us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Policy loans 226us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 228us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Total financial assets not accounted for at fair value 1,326afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 1,352afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Financial liabilities:        
Annuity benefits accumulated 23,966afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 [1] 23,187afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 [1]    
Long-term debt 74us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 74us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Total financial liabilities not accounted for at fair value 24,040afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		 23,261afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member		    
Carrying Value [Member]        
Financial assets:        
Cash and cash equivalents 1,212us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Mortgage loans 1,091us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 1,117us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Policy loans 226us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 228us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Total financial assets not accounted for at fair value 2,529afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 2,688afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Financial liabilities:        
Annuity benefits accumulated 24,209afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 [1] 23,561afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 [1]    
Long-term debt 1,061us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 1,061us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Total financial liabilities not accounted for at fair value 25,270afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		 24,622afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember		    
Fair Value [Member]        
Financial assets:        
Cash and cash equivalents 1,212us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Mortgage loans 1,100us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 1,124us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Policy loans 226us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 228us-gaap_LoansInsurancePolicy
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Total financial assets not accounted for at fair value 2,538afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 2,695afg_FinancialAssetsNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Financial liabilities:        
Annuity benefits accumulated 23,966afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 [1] 23,187afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 [1]    
Long-term debt 1,197us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 1,180us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
Total financial liabilities not accounted for at fair value $ 25,163afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		 $ 24,367afg_FinancialLiabilitiesNotAccountedForAtFairValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember		    
[1] Excludes life contingent annuities in the payout phase.