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Acquisitions and Sales of Businesses (Details Textual) (USD $)
In Millions, unless otherwise specified
1 Months Ended 12 Months Ended 0 Months Ended 9 Months Ended 0 Months Ended
Aug. 31, 2012
company
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Apr. 01, 2014
Dec. 31, 2014
Mar. 27, 2014
Dec. 31, 2011
Business Acquisition [Line Items]                
Payments to acquire business   $ 267us-gaap_PaymentsToAcquireBusinessesGross $ 0us-gaap_PaymentsToAcquireBusinessesGross $ 0us-gaap_PaymentsToAcquireBusinessesGross        
Weighted average useful life of finite-lived intangible assets acquired   6 years            
Goodwill   201us-gaap_Goodwill 185us-gaap_Goodwill 185us-gaap_Goodwill   201us-gaap_Goodwill   186us-gaap_Goodwill
Percentage of interest acquired in a subsidiary       28.00%afg_PercentageOfInterestAcquiredInSubsidiaries        
Purchase of interest not already owned in a subsidiary       17us-gaap_PaymentsToAcquireAdditionalInterestInSubsidiaries        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                
Number of undisclosed insurance companies sold 4afg_NumberofUndisclosedInsuranceCompaniesSold              
Medicare supplement and critical illness businesses [Member]                
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                
Sale proceeds 326afg_DisposalGroupProceedsFromDivestitureOfBusinesses
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsMedicareSupplementAndCriticalIllnessBusinessesMember
    326afg_DisposalGroupProceedsFromDivestitureOfBusinesses
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsMedicareSupplementAndCriticalIllnessBusinessesMember
       
Pretax gain on sale of subsidiaries 170us-gaap_DisposalGroupNotDiscontinuedOperationGainLossOnDisposal
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsMedicareSupplementAndCriticalIllnessBusinessesMember
    170us-gaap_DisposalGroupNotDiscontinuedOperationGainLossOnDisposal
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsMedicareSupplementAndCriticalIllnessBusinessesMember
       
Total revenues       212us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsMedicareSupplementAndCriticalIllnessBusinessesMember
       
Total costs and expenses       184us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingExpense
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsMedicareSupplementAndCriticalIllnessBusinessesMember
       
Earnings before income taxes       28us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingIncomeLoss
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsMedicareSupplementAndCriticalIllnessBusinessesMember
       
Small annuity and supplemental insurance company [Member]                
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                
Sale proceeds       7afg_DisposalGroupProceedsFromDivestitureOfBusinesses
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsSmallAnnuityAndSupplementalInsuranceCompanyMember
       
Summit Holding Southeast, Inc [Member]                
Business Acquisition [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   539us-gaap_PremiumsWrittenNet
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
           
Net earned premiums of acquired business           410us-gaap_PremiumsEarnedNet
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
   
Indefinite-lived intangible assets acquired         1us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIndefiniteLivedIntangibleAssets
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
     
Finite-lived intangible assets acquired         46us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
     
Weighted average useful life of finite-lived intangible assets acquired         7 years      
Goodwill         16us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
     
Selective Insurance Company of America Self-Insured Pooled Group [Member]                
Business Acquisition [Line Items]                
Payments to acquire business             8us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= afg_SelectiveInsuranceCompanyOfAmericaSelfInsuredPooledGroupMember
 
In-force gross written premiums of acquired book of business             38afg_PremiumsWrittenGrossInForce
/ us-gaap_BusinessAcquisitionAxis
= afg_SelectiveInsuranceCompanyOfAmericaSelfInsuredPooledGroupMember
 
Maximum [Member] | Summit Holding Southeast, Inc [Member]                
Business Acquisition [Line Items]                
Expenses related to the acquisition of business (are less than)         $ 1us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember