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Accounting Policies (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Variable Interest Entity [Line Items]      
Assets $ 3,108us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets $ 2,888us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets  
Liabilities 2,819us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities 2,567us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities  
Weighted average common shares adjustment related to stock-based compensation 2.0us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 1.9us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 1.7us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
Anti-dilutive potential common shares related to stock-based compensation plans 1.0us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 1.1us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 1.8us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
Maturities of short term investments 3 months    
New collateralized loan obligation temporary warehousing entities [Member]      
Variable Interest Entity [Line Items]      
Assets 17us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationTemporaryWarehousingEntitiesMember
   
Liabilities $ 12us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationTemporaryWarehousingEntitiesMember