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Acquisitions and Sale of Businesses (Details Textual) (USD $)
In Millions, unless otherwise specified
3 Months Ended 0 Months Ended 9 Months Ended 12 Months Ended 0 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Apr. 01, 2014
Dec. 31, 2014
Dec. 31, 2014
Mar. 27, 2014
Acquisitions and Sale of Businesses [Line Items]            
Payments to acquire business $ 0us-gaap_PaymentsToAcquireBusinessesGross $ 8us-gaap_PaymentsToAcquireBusinessesGross        
Run-off long-term care insurance business [Member]            
Acquisitions and Sale of Businesses [Line Items]            
Sale proceeds 7afg_DisposalGroupProceedsFromDivestitureOfBusinesses
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
         
Additional sale proceeds based on the release of certain statutory liabilities of the legal entities sold 13afg_DisposalGroupAdditionalProceedsfromDivestitureofBusinesses
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
         
Carrying value of the assets and liabilities of business sold as a percentage of total assets and liabilities 4.00%afg_DisposalGroupCarryingValueofAssetsandLiabilitiesasaPercentageofTotalAssetsandLiabilities
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
         
Summit Holding Southeast, Inc [Member]            
Acquisitions and Sale of Businesses [Line Items]            
Payments to acquire business     259us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
     
Capital contributions to acquired business     140afg_CapitalContributionsToSubsidiaries
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
     
Total capital investment in acquired business     399afg_CapitalInvestmentInSubsidiariesTotal
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
     
Net written premiums of acquired business       410us-gaap_PremiumsWrittenNet
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
539us-gaap_PremiumsWrittenNet
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Net earned premiums of acquired business 129us-gaap_PremiumsEarnedNet
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
         
Underwriting profit of acquired business 5afg_PropertyAndCasualtyInsuranceUnderwritingIncomeLoss
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
         
Selective Insurance Company of America Self-Insured Pooled Group [Member]            
Acquisitions and Sale of Businesses [Line Items]            
Payments to acquire business           8us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= afg_SelectiveInsuranceCompanyOfAmericaSelfInsuredPooledGroupMember
Net written premiums of acquired business         23us-gaap_PremiumsWrittenNet
/ us-gaap_BusinessAcquisitionAxis
= afg_SelectiveInsuranceCompanyOfAmericaSelfInsuredPooledGroupMember
 
In-force gross written premiums of acquired book of business           38afg_PremiumsWrittenGrossInForce
/ us-gaap_BusinessAcquisitionAxis
= afg_SelectiveInsuranceCompanyOfAmericaSelfInsuredPooledGroupMember
Gross written premiums of acquired business         33us-gaap_PremiumsWrittenGross
/ us-gaap_BusinessAcquisitionAxis
= afg_SelectiveInsuranceCompanyOfAmericaSelfInsuredPooledGroupMember
 
Minimum [Member] | Run-off long-term care insurance business [Member]            
Acquisitions and Sale of Businesses [Line Items]            
Expected after-tax cash proceeds from the sale of business 105us-gaap_ProceedsFromIncomeTaxRefunds
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
         
Maximum [Member] | Run-off long-term care insurance business [Member]            
Acquisitions and Sale of Businesses [Line Items]            
Expected after-tax cash proceeds from the sale of business $ 115us-gaap_ProceedsFromIncomeTaxRefunds
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember