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Deferred Policy Acquisition Costs (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Movement Analysis of Deferred Policy Acquisition Costs and Present Value of Future Profits [Roll Forward]    
Deferred policy acquisition costs and present value of future profits, beginning balance $ 821us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired $ 975us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired
Deferred policy acquisition costs and present value of future profits, additions 168us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAdditions 178us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAdditions
Deferred policy acquisition costs and present value of future profits, periodic amortization (165)us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1 (158)us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1
Deferred policy acquisition costs and present value of future profits, change included in realized gains 2afg_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortizationExpenseNetInvestmentGainsLosses  
Deferred policy acquisition costs and present value of future profits, foreign currency translation 1afg_DeferredPolicyAcquisitionCostAndPresentValueOfFutureProfitsForeignCurrencyTranslationAdjustment  
Deferred policy acquisition costs and present value of future profits, change in unrealized (71)afg_DeferredPolicyAcquisitionCostsandPresentValueofFutureProfitsChangeinUnrealizedInvestmentGainLoss (105)afg_DeferredPolicyAcquisitionCostsandPresentValueofFutureProfitsChangeinUnrealizedInvestmentGainLoss
Deferred policy acquisition costs and present value of future profits, ending balance 756us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired 890us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired
Property and Casualty Insurance [Member]    
Movement Analysis of Deferred Policy Acquisition Costs [Roll Forward]    
Deferred policy acquisition costs, beginning balance 221us-gaap_DeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
211us-gaap_DeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Deferred policy acquisition costs, additions 121us-gaap_DeferredPolicyAcquisitionCostsAdditions
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
124us-gaap_DeferredPolicyAcquisitionCostsAdditions
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Deferred policy acquisition costs, periodic amortization (126)afg_DeferredPolicyAcquisitionCostsAmortizationExpensePeriodicAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
(121)afg_DeferredPolicyAcquisitionCostsAmortizationExpensePeriodicAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Deferred policy acquisition costs, foreign currency translation 1us-gaap_DeferredPolicyAcquisitionCostForeignCurrencyTranslationAdjustment
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
 
Deferred policy acquisition costs, ending balance 217us-gaap_DeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
214us-gaap_DeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Annuity and Run-off Long-term Care and Life [Member]    
Movement Analysis of Deferred Policy Acquisition Costs [Roll Forward]    
Deferred policy acquisition costs, beginning balance 925us-gaap_DeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
875us-gaap_DeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred policy acquisition costs, additions 44us-gaap_DeferredPolicyAcquisitionCostsAdditions
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
50us-gaap_DeferredPolicyAcquisitionCostsAdditions
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred policy acquisition costs, periodic amortization (29)afg_DeferredPolicyAcquisitionCostsAmortizationExpensePeriodicAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
(27)afg_DeferredPolicyAcquisitionCostsAmortizationExpensePeriodicAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred policy acquisition costs, change included in realized gains 2us-gaap_DeferredPolicyAcquisitionCostAmortizationExpenseNetInvestmentGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
 
Deferred policy acquisition costs, ending balance 942us-gaap_DeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
898us-gaap_DeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Movement in Deferred Sales Inducements [Roll Forward]    
Deferred sales inducements, beginning balance 132us-gaap_DeferredSalesInducementsNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
149us-gaap_DeferredSalesInducementsNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred sales inducements, additions 3us-gaap_DeferredSalesInducementsAdditions
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
4us-gaap_DeferredSalesInducementsAdditions
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred sales inducements, periodic amortization (7)us-gaap_DeferredSalesInducementsAmortizationExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
(7)us-gaap_DeferredSalesInducementsAmortizationExpense
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred sales inducements, change included in realized gains 0afg_DeferredSalesInducementsAmortizationExpenseNetInvestmentGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
 
Deferred sales inducements, ending balance 128us-gaap_DeferredSalesInducementsNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
146us-gaap_DeferredSalesInducementsNet
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Movement in Present Value of Future Insurance Profits [Roll Forward]    
Present value of future profits, beginning balance 74us-gaap_ValueOfBusinessAcquiredVOBA
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
85us-gaap_ValueOfBusinessAcquiredVOBA
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Present value of future profits, periodic amortization (3)us-gaap_PresentValueOfFutureInsuranceProfitsAmortizationExpense1
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
(3)us-gaap_PresentValueOfFutureInsuranceProfitsAmortizationExpense1
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Present value of future profits, ending balance 71us-gaap_ValueOfBusinessAcquiredVOBA
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
82us-gaap_ValueOfBusinessAcquiredVOBA
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Movement in Unrealized Gains (Losses) Related to Deferred Policy Acquisition Costs and Present Value of Future Profits [Roll Forward]    
Unrealized investment gains (losses), beginning balance (531)afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
(345)afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Unrealized investment gains (losses), change in unrealized (71)afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLossChangeinUnrealized
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
(105)afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLossChangeinUnrealized
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Unrealized investment gains (losses), ending balance (602)afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
(450)afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Movement Analysis of Deferred Policy Acquisition Costs and Present Value of Future Profits [Roll Forward]    
Deferred policy acquisition costs and present value of future profits, beginning balance 600us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
764us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred policy acquisition costs and present value of future profits, additions 47us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAdditions
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
54us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAdditions
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred policy acquisition costs and present value of future profits, periodic amortization (39)us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
(37)us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred policy acquisition costs and present value of future profits, change included in realized gains 2afg_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortizationExpenseNetInvestmentGainsLosses
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
 
Deferred policy acquisition costs and present value of future profits, change in unrealized (71)afg_DeferredPolicyAcquisitionCostsandPresentValueofFutureProfitsChangeinUnrealizedInvestmentGainLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
(105)afg_DeferredPolicyAcquisitionCostsandPresentValueofFutureProfitsChangeinUnrealizedInvestmentGainLoss
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
Deferred policy acquisition costs and present value of future profits, ending balance $ 539us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember
$ 676us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityLongtermCareandLifeMember