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Segments of Operations (Details 1) (USD $)
In Millions, unless otherwise specified
 3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Segment Reporting Information [Line Items]                      
Total premiums earned                 $ 3,878us-gaap_PremiumsEarnedNetPropertyAndCasualty $ 3,204us-gaap_PremiumsEarnedNetPropertyAndCasualty $ 2,847us-gaap_PremiumsEarnedNetPropertyAndCasualty
Net investment income                 1,501us-gaap_NetInvestmentIncome 1,346us-gaap_NetInvestmentIncome 1,301us-gaap_NetInvestmentIncome
Other income                 102us-gaap_OtherIncome 97us-gaap_OtherIncome 89us-gaap_OtherIncome
Revenues before realized gains (losses)                 5,661afg_RevenuesBeforeRealizedGainsLosses 4,875afg_RevenuesBeforeRealizedGainsLosses 4,586afg_RevenuesBeforeRealizedGainsLosses
Realized gains on securities                 52us-gaap_MarketableSecuritiesRealizedGainLoss 221us-gaap_MarketableSecuritiesRealizedGainLoss 210us-gaap_MarketableSecuritiesRealizedGainLoss
Realized gains (losses) on subsidiaries                 0afg_RealizedGainsLossesOnSubsidiaries (4)afg_RealizedGainsLossesOnSubsidiaries 161afg_RealizedGainsLossesOnSubsidiaries
Total revenues 1,529us-gaap_Revenues 1,581us-gaap_Revenues 1,392us-gaap_Revenues 1,211us-gaap_Revenues 1,362us-gaap_Revenues 1,443us-gaap_Revenues 1,139us-gaap_Revenues 1,148us-gaap_Revenues 5,713us-gaap_Revenues 5,092us-gaap_Revenues 4,957us-gaap_Revenues
Property and Casualty Insurance [Member]                      
Segment Reporting Information [Line Items]                      
Net investment income                 294us-gaap_NetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 263us-gaap_NetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 275us-gaap_NetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Other income                 9us-gaap_OtherIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 15us-gaap_OtherIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 24us-gaap_OtherIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Revenues before realized gains (losses)                 4,181afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 3,482afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 3,146afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Annuity [Member]                      
Segment Reporting Information [Line Items]                      
Net investment income                 1,136us-gaap_NetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 1,034us-gaap_NetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 976us-gaap_NetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Other income                 78us-gaap_OtherIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 67us-gaap_OtherIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 52us-gaap_OtherIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Revenues before realized gains (losses)                 1,214afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 1,101afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 1,028afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Run-off Long-term Care and Life [Member]                      
Segment Reporting Information [Line Items]                      
Revenues before realized gains (losses)                 194afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember		 194afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember		 191afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Medicare Supplement and Critical Illness [Member]                      
Segment Reporting Information [Line Items]                      
Revenues before realized gains (losses)                 0afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember		 [1] 0afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember		 [1] 212afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember		 [1]
Other [Member]                      
Segment Reporting Information [Line Items]                      
Revenues before realized gains (losses)                 72afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember		 98afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember		 9afg_RevenuesBeforeRealizedGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
Specialty Property and transportation [Member]                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 1,544us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyPropertyAndTransportationInsuranceMember		 1,521us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyPropertyAndTransportationInsuranceMember		 1,423us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyPropertyAndTransportationInsuranceMember
Specialty casualty [Member]                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 1,765us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyCasualtyInsuranceMember		 1,135us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyCasualtyInsuranceMember		 948us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyCasualtyInsuranceMember
Specialty financial [Member]                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 469us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyFinancialInsuranceMember		 469us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyFinancialInsuranceMember		 405us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyFinancialInsuranceMember
Specialty Other [Member]                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 $ 100us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyOtherInsuranceMember		 $ 79us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyOtherInsuranceMember		 $ 71us-gaap_PremiumsEarnedNetPropertyAndCasualty
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyOtherInsuranceMember
[1] Sold in August 2012.