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Acquisitions and Sale of Businesses (Details 1) (Run-off long-term care insurance business [Member], USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Run-off long-term care insurance business [Member]
   
Life, accident and health net earned premiums:    
Long-term care $ 17afg_DisposalGroupLifeAccidentandHealthPremiumsLongTermCare
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
$ 19afg_DisposalGroupLifeAccidentandHealthPremiumsLongTermCare
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Life operations 3afg_DisposalGroupLifeAccidentandHealthPremiumsLifeOperations
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
3afg_DisposalGroupLifeAccidentandHealthPremiumsLifeOperations
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Net investment income 18afg_DisposalGroupNetInvestmentIncome
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
21afg_DisposalGroupNetInvestmentIncome
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Realized gains (losses) on securities and other income (2)afg_DisposalGroupMarketableSecuritiesRealizedGainLossandOtherIncome
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
1afg_DisposalGroupMarketableSecuritiesRealizedGainLossandOtherIncome
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Total revenues 36us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
44us-gaap_DisposalGroupIncludingDiscontinuedOperationRevenue
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Annuity benefits 2afg_DisposalGroupAnnuityBenefits
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
2afg_DisposalGroupAnnuityBenefits
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Life, accident and health benefits:    
Long-term care 21afg_DisposalGroupLifeAccidentandHealthBenefitsLongTermCare
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
29afg_DisposalGroupLifeAccidentandHealthBenefitsLongTermCare
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Life operations 3afg_DisposalGroupLifeAccidentandHealthBenefitsLifeOperations
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
3afg_DisposalGroupLifeAccidentandHealthBenefitsLifeOperations
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Annuity and supplemental insurance acquisition expenses 3afg_DisposalGroupAnnuityandSupplementalInsuranceAcquisitionExpenses
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
3afg_DisposalGroupAnnuityandSupplementalInsuranceAcquisitionExpenses
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Other expenses 4us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherExpense
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
4us-gaap_DisposalGroupIncludingDiscontinuedOperationOtherExpense
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Total costs and expenses 33us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingExpense
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
41us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingExpense
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
Earnings before income taxes $ 3us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingIncomeLoss
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember
$ 3us-gaap_DisposalGroupIncludingDiscontinuedOperationOperatingIncomeLoss
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= afg_DisposalGroupsIncludingDiscontinuedOperationsLongtermCareBusinessMember