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Segments of Operations (Details 1) (USD $)
In Millions, unless otherwise specified
 3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Segment Reporting Information [Line Items]    
Earnings before realized gains (losses) and income taxes $ 173afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes $ 142afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
Realized gains on securities 19us-gaap_MarketableSecuritiesRealizedGainLoss 19us-gaap_MarketableSecuritiesRealizedGainLoss
Realized loss on subsidiaries (162)afg_RealizedGainsLossesOnSubsidiaries 0afg_RealizedGainsLossesOnSubsidiaries
Earnings before income taxes 30us-gaap_OperatingIncomeLoss 161us-gaap_OperatingIncomeLoss
Property and Casualty Insurance [Member]    
Segment Reporting Information [Line Items]    
Property and casualty insurance underwriting 60afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 58afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Investment and other income, net 73afg_InvestmentAndOtherIncomeNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 54afg_InvestmentAndOtherIncomeNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Earnings before realized gains (losses) and income taxes 133afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 112afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Annuity [Member]    
Segment Reporting Information [Line Items]    
Earnings before realized gains (losses) and income taxes 75afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 73afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Run-off Long-term Care and Life [Member]    
Segment Reporting Information [Line Items]    
Earnings before realized gains (losses) and income taxes 4afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember		 (2)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Other [Member]    
Segment Reporting Information [Line Items]    
Earnings before realized gains (losses) and income taxes (39)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember		 [1] (41)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember		 [1]
Specialty Property and transportation [Member]    
Segment Reporting Information [Line Items]    
Property and casualty insurance underwriting 7afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyPropertyAndTransportationInsuranceMember		 6afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyPropertyAndTransportationInsuranceMember
Specialty casualty [Member]    
Segment Reporting Information [Line Items]    
Property and casualty insurance underwriting 28afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyCasualtyInsuranceMember		 38afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyCasualtyInsuranceMember
Specialty financial [Member]    
Segment Reporting Information [Line Items]    
Property and casualty insurance underwriting 22afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyFinancialInsuranceMember		 10afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyFinancialInsuranceMember
Specialty Other [Member]    
Segment Reporting Information [Line Items]    
Property and casualty insurance underwriting 3afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyOtherInsuranceMember		 5afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyOtherInsuranceMember
Other Lines [Member]    
Segment Reporting Information [Line Items]    
Property and casualty insurance underwriting $ 0afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_OtherLinesMember		 $ (1)afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_OtherLinesMember
[1] Includes holding company expenses. Also includes earnings of managed investment entities attributable to noncontrolling interest of less than $1 million for the first three months of 2014. Following the adoption of new guidance in the first quarter of 2015, there are no longer earnings of managed investment entities that are attributable to noncontrolling interests. See Note A — “Accounting Policies — Managed Investment Entities.”