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Condensed Financial Information of Parent Company (Details) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Assets:        
Cash and cash equivalents $ 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,639us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,705us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,324us-gaap_CashAndCashEquivalentsAtCarryingValue
Total assets 47,535us-gaap_Assets 42,087us-gaap_Assets 39,171us-gaap_Assets  
Liabilities and Equity:        
Long-term debt 1,061us-gaap_LongTermDebt 913us-gaap_LongTermDebt    
Shareholders’ equity 4,879us-gaap_StockholdersEquity 4,599us-gaap_StockholdersEquity    
Total liabilities and equity 47,535us-gaap_LiabilitiesAndStockholdersEquity 42,087us-gaap_LiabilitiesAndStockholdersEquity    
AFG [Member]        
Assets:        
Cash and cash equivalents 292us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
523us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
279us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
415us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Investment in securities 58us-gaap_MarketableSecurities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
53us-gaap_MarketableSecurities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
Investment in subsidiaries 5,638afg_InvestmentInSubsidiariesAndAffiliates
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
[1] 5,041afg_InvestmentInSubsidiariesAndAffiliates
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
[1]    
Other investments 2us-gaap_OtherInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
2us-gaap_OtherInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
Other assets 103afg_OtherAssetsCondensedConsolidatingBalanceSheet
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
108afg_OtherAssetsCondensedConsolidatingBalanceSheet
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
Total assets 6,093us-gaap_Assets
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
5,727us-gaap_Assets
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
Liabilities and Equity:        
Long-term debt 990us-gaap_LongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
840us-gaap_LongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
Other liabilities 224afg_OtherLiabilitiesCondensedConsolidatingBalanceSheet
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
288afg_OtherLiabilitiesCondensedConsolidatingBalanceSheet
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
Shareholders’ equity 4,879us-gaap_StockholdersEquity
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
4,599us-gaap_StockholdersEquity
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
Total liabilities and equity $ 6,093us-gaap_LiabilitiesAndStockholdersEquity
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 5,727us-gaap_LiabilitiesAndStockholdersEquity
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
   
[1] Investment in subsidiaries includes intercompany receivables and payables.