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Shareholders' Equity (Details Textual) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended 3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Mar. 31, 2014
Mar. 31, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Rate of options exercisable per year, commencing one year after grant 20% per year commencing one year after grant        
Duration of options expiration, after date of grant 10 years        
Total intrinsic value of options exercised $ 38us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 35us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 25us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue    
Cash received from the exercise of stock options 35us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 44us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 40us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions    
Tax benefit related to exercise of stock options 12us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions 11us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions 8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions    
Total compensation expense related to stock incentive plans 25us-gaap_AllocatedShareBasedCompensationExpense 36us-gaap_AllocatedShareBasedCompensationExpense 26us-gaap_AllocatedShareBasedCompensationExpense    
Tax benefit related to compensation costs 8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 12us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense    
Net of tax unrealized gains (losses) related to credit-only impaired securities 58afg_NetOfTaxUnrealizedGainsLossesOnCreditOnlyImpairedSecurities 54afg_NetOfTaxUnrealizedGainsLossesOnCreditOnlyImpairedSecurities 33afg_NetOfTaxUnrealizedGainsLossesOnCreditOnlyImpairedSecurities    
Minimum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Restricted Common Stock vesting period 3 years        
Maximum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Restricted Common Stock vesting period 4 years        
Stock Options [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized compensation expense related to equity-based awards that have yet to vest 30us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
       
Weighted average period of cost expected to be recognized 3 years 2 months 12 days        
Restricted Stock [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized compensation expense related to equity-based awards that have yet to vest $ 11us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
       
Weighted average period of cost expected to be recognized 2 years 3 months 18 days        
Stock Incentive Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Common Stock reserved for issuance under stock incentive plans 10,200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_AwardTypeAxis
= us-gaap_StockCompensationPlanMember
       
Annual Equity Bonus Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Other benefit plans, shares       84,036us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ us-gaap_AwardTypeAxis
= afg_AnnualEquityBonusPlanMember
88,602us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ us-gaap_AwardTypeAxis
= afg_AnnualEquityBonusPlanMember
Common Stock issued, fair value per share       $ 57.16afg_CommonStockIssuedDuringPeriodFairValuePerShare
/ us-gaap_AwardTypeAxis
= afg_AnnualEquityBonusPlanMember
$ 47.12afg_CommonStockIssuedDuringPeriodFairValuePerShare
/ us-gaap_AwardTypeAxis
= afg_AnnualEquityBonusPlanMember