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Supplementary Insurance Information (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Supplementary Insurance Information, by Segment [Line Items]      
Deferred policy acquisition costs $ 821us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts $ 975us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts $ 550us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
Reserves for future policy benefits, claims and unpaid losses and LAE 33,811us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves 29,362us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves 26,513us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
Unearned premiums 1,956us-gaap_SupplementaryInsuranceInformationUnearnedPremiums 1,757us-gaap_SupplementaryInsuranceInformationUnearnedPremiums 1,651us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
Net earned premiums 3,986us-gaap_SupplementaryInsuranceInformationPremiumRevenue 3,318us-gaap_SupplementaryInsuranceInformationPremiumRevenue 3,165us-gaap_SupplementaryInsuranceInformationPremiumRevenue
Net investment income 1,501us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome 1,346us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome 1,301us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
Benefits, claims, losses and settlement expenses 3,306us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense 2,731us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense 2,770us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
Amortization of deferred policy acquisition costs 646us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts 610us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts 700us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
Other operating expenses 1,135us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense 1,062us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense 950us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
Net written premiums (excluding life) 4,094us-gaap_SupplementaryInsuranceInformationPremiumsWritten 3,417us-gaap_SupplementaryInsuranceInformationPremiumsWritten 3,227us-gaap_SupplementaryInsuranceInformationPremiumsWritten
Property and Casualty Insurance [Member]      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred policy acquisition costs 221us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
211us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
204us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Reserves for future policy benefits, claims and unpaid losses and LAE 7,872us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
6,410us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
6,845us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Unearned premiums 1,956us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
1,757us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
1,651us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Net earned premiums 3,878us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
3,204us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
2,847us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Net investment income 294us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
263us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
275us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Benefits, claims, losses and settlement expenses 2,494us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
2,040us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
1,873us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Amortization of deferred policy acquisition costs 485us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
460us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
423us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Other operating expenses 746us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
607us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
528us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Net written premiums (excluding life) 4,020us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
3,341us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
2,949us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Annuity [Member]      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred policy acquisition costs 564us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
723us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
299us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Reserves for future policy benefits, claims and unpaid losses and LAE 23,764us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
20,944us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
17,609us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Net investment income 1,136us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
1,034us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
976us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Benefits, claims, losses and settlement expenses 648us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
531us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
541us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Amortization of deferred policy acquisition costs 155us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
144us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
163us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Other operating expenses 83us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
103us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
68us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Run-off Long-term Care and Life [Member]      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred policy acquisition costs 36us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
41us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
47us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Reserves for future policy benefits, claims and unpaid losses and LAE 2,175us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
2,008us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
2,059us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Net earned premiums 108us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
114us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
119us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Net investment income 82us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
76us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
69us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Benefits, claims, losses and settlement expenses 164us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
160us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
225us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Amortization of deferred policy acquisition costs 6us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
6us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
95us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Other operating expenses 34us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
38us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
28us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Net written premiums (excluding life) 74us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
76us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
79us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Medicare Supplement and Critical Illness [Member]      
Supplementary Insurance Information, by Segment [Line Items]      
Net earned premiums     199us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember
Net investment income     7us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember
Benefits, claims, losses and settlement expenses     131us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember
Amortization of deferred policy acquisition costs     19us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember
Other operating expenses     34us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember
Net written premiums (excluding life)     199us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= afg_MedicareSupplementAndCriticalIllnessMember
Other [Member]      
Supplementary Insurance Information, by Segment [Line Items]      
Net investment income (11)us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
(27)us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
(26)us-gaap_SupplementaryInsuranceInformationNetInvestmentIncome
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
Other operating expenses $ 272us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
$ 314us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
$ 292us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember