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Acquisitions and Sales of Businesses (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended 0 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Apr. 01, 2014
Dec. 31, 2011
Business Acquisition [Line Items]          
Total purchase price $ 267us-gaap_PaymentsToAcquireBusinessesGross $ 0us-gaap_PaymentsToAcquireBusinessesGross $ 0us-gaap_PaymentsToAcquireBusinessesGross    
Allocation of excess purchase price:          
Goodwill 201us-gaap_Goodwill 185us-gaap_Goodwill 185us-gaap_Goodwill   186us-gaap_Goodwill
Summit Holding Southeast, Inc [Member]          
Business Acquisition [Line Items]          
Total purchase price       259us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Tangible assets acquired:          
Cash and cash equivalents       1,078us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCashAndEquivalents
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Fixed maturities, available for sale       92afg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedFixedMaturitiesAvailableforSale
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Recoverables from reinsurers       116afg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedReinsuranceRecoverables
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Agents’ balances and premiums receivable       41afg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedPremiumsReceivableNet
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Deferred tax assets, net       67us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredTaxAssetsNoncurrent
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
[1]  
Other receivables       21us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Other assets       11us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Total tangible assets acquired       1,426us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Liabilities acquired:          
Unpaid losses and loss adjustment expenses       1,142afg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedLiabilityforClaimsandClaimsAdjustmentExpensePropertyCasualtyLiability
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Unearned premiums       3afg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedUnearnedPremiums
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Payable to reinsurers       3afg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedReinsurancePayable
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Other liabilities       66us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Total liabilities acquired       1,214us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Net tangible assets acquired, at fair value       212us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Excess purchase price over net tangible assets acquired       47afg_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedExcessPurchasePriceOverNetTangibleAssetsAcquired
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
Allocation of excess purchase price:          
Intangible assets acquired       47us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
[2]  
Deferred tax on intangible assets acquired       (16)us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
[1]  
Goodwill       $ 16us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= afg_SummitHoldingSoutheastIncMember
 
[1] Included with AFG’s net deferred tax liabilities, which are included in Other liabilities in AFG’s Consolidated Balance Sheet.
[2] Included in Other assets in AFG’s Consolidated Balance Sheet.