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Shareholders' Equity (Details Textual) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Net of tax unrealized gains (losses) related to credit-only impaired securities $ 57afg_NetOfTaxUnrealizedGainsLossesOnCreditOnlyImpairedSecurities   $ 58afg_NetOfTaxUnrealizedGainsLossesOnCreditOnlyImpairedSecurities
Common Stock options issued under stock incentive plan, average exercise price $ 63.15us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice $ 56.44us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice  
Compensation expense related to stock incentive plans $ 6us-gaap_AllocatedShareBasedCompensationExpense $ 7us-gaap_AllocatedShareBasedCompensationExpense  
Stock Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted Common Stock, shares issued 171,130us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross
/ us-gaap_PlanNameAxis
= us-gaap_StockCompensationPlanMember
   
Restricted Common Stock, fair value per share $ 63.15afg_RestrictedCommonStockIssuedFairValuePerShare
/ us-gaap_PlanNameAxis
= us-gaap_StockCompensationPlanMember
   
Common Stock options issued under stock incentive plan 716,818us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_PlanNameAxis
= us-gaap_StockCompensationPlanMember
   
Common Stock options issued under stock incentive plan, average exercise price $ 63.15us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_PlanNameAxis
= us-gaap_StockCompensationPlanMember
   
Annual Equity Bonus Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Other benefit plans, shares 54,732us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ us-gaap_PlanNameAxis
= afg_AnnualEquityBonusPlanMember
   
Common Stock issued, fair value per share $ 62.55afg_CommonStockIssuedDuringPeriodFairValuePerShare
/ us-gaap_PlanNameAxis
= afg_AnnualEquityBonusPlanMember