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Segments of Operations (Details 2) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Segment Reporting Information [Line Items]      
Earnings before realized gains (losses) and income taxes $ 574afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes $ 472afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes $ 166afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
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
Earnings before income taxes 626us-gaap_OperatingIncomeLoss 689us-gaap_OperatingIncomeLoss 537us-gaap_OperatingIncomeLoss
Property and Casualty Insurance [Member]      
Segment Reporting Information [Line Items]      
Property and casualty insurance underwriting 212afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 145afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 87afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Investment and other income, net 244afg_InvestmentAndOtherIncomeNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 230afg_InvestmentAndOtherIncomeNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 235afg_InvestmentAndOtherIncomeNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Earnings before realized gains (losses) and income taxes 456afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 375afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember		 322afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Annuity [Member]      
Segment Reporting Information [Line Items]      
Earnings before realized gains (losses) and income taxes 328afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 [1] 323afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 [1] 256afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember		 [1]
Run-off Long-term Care and Life [Member]      
Segment Reporting Information [Line Items]      
Earnings before realized gains (losses) and income taxes (10)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember		 [2] (10)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember		 [2] (157)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember		 [2]
Medicare Supplement and Critical Illness [Member]      
Segment Reporting Information [Line Items]      
Earnings before realized gains (losses) and income taxes 0afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember		 [3] 0afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember		 [3] 28afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember		 [3]
Other [Member]      
Segment Reporting Information [Line Items]      
Earnings before realized gains (losses) and income taxes (200)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember		 [4] (216)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember		 [4] (283)afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember		 [4]
Specialty Property and transportation [Member]      
Segment Reporting Information [Line Items]      
Property and casualty insurance underwriting 21afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyPropertyAndTransportationInsuranceMember		 12afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyPropertyAndTransportationInsuranceMember		 19afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyPropertyAndTransportationInsuranceMember
Specialty casualty [Member]      
Segment Reporting Information [Line Items]      
Property and casualty insurance underwriting 136afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyCasualtyInsuranceMember		 102afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyCasualtyInsuranceMember		 53afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyCasualtyInsuranceMember
Specialty financial [Member]      
Segment Reporting Information [Line Items]      
Property and casualty insurance underwriting 64afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyFinancialInsuranceMember		 67afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyFinancialInsuranceMember		 44afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyFinancialInsuranceMember
Specialty Other [Member]      
Segment Reporting Information [Line Items]      
Property and casualty insurance underwriting 16afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyOtherInsuranceMember		 25afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyOtherInsuranceMember		 15afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_SpecialtyOtherInsuranceMember
Other Lines [Member]      
Segment Reporting Information [Line Items]      
Property and casualty insurance underwriting $ (25)afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_OtherLinesMember		 [5] $ (61)afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_OtherLinesMember		 [5] $ (44)afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_SubsegmentsAxis
= afg_OtherLinesMember		 [5]
[1] Includes a $5 million charge in the second quarter of 2013 to cover expected assessments from state guaranty funds related to insolvency and liquidation of an unaffiliated life insurance company.
[2] Includes a loss recognition charge of $153 million in the fourth quarter of 2012.
[3] Sold in August 2012.
[4] Includes holding company expenses, special charges to increase A&E reserves ($6 million in 2014, $22 million in 2013 and $2 million in 2012) and losses of managed investment entities attributable to noncontrolling interests ($51 million in 2014, $26 million in 2013 and $98 million in 2012). Holding company expenses in 2012 also include an $8 million loss on retirement of debt and a $15 million charge for a labor matter related to AFG’s former railroad operations.
[5] Includes special charges to increase asbestos and environmental (“A&E”) reserves of $24 million, $54 million and $31 million in 2014, 2013 and 2012, respectively.