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Accounting Policies (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Variable Interest Entity [Line Items]      
Assets $ 3,279us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets   $ 3,108us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets
Liabilities 2,952us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities   2,819us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities
Weighted average common shares adjustment related to stock-based compensation 1.8us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 2.0us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements  
Anti-dilutive potential common shares related to stock-based compensation plans 1.3us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 0.6us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount  
Maturities of short term investments 3 months    
New collateralized loan obligation temporary warehousing entities [Member]      
Variable Interest Entity [Line Items]      
Assets 222us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationTemporaryWarehousingEntitiesMember
   
Liabilities $ 177us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= afg_NewCollateralizedLoanObligationTemporaryWarehousingEntitiesMember