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Insurance (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Analysis of changes in the liability for losses and loss adjustment expenses, net of reinsurance                      
Balance at beginning of period       $ 4,288us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet       $ 4,129us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet $ 4,288us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet $ 4,129us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet $ 4,282us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet
Provision for losses and LAE occurring in the current year                 2,488us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense 2,055us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense 1,903us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense
Net increase (decrease) in provision for claims of prior years 10us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense 13us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense 14us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense (31)us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense (5)us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense 40us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense (22)us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense (28)us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense 6us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense (15)us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense (30)us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense
Total losses and LAE incurred                 2,494us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1 2,040us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1 1,873us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1
Payments for losses and LAE of:                      
Current year                 (789)us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1 (739)us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1 (841)us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1
Prior years                 (1,340)us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1 (1,131)us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1 (1,185)us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1
Total payments                 (2,129)us-gaap_PaymentsForLossesAndLossAdjustmentExpense (1,870)us-gaap_PaymentsForLossesAndLossAdjustmentExpense (2,026)us-gaap_PaymentsForLossesAndLossAdjustmentExpense
Reserves of businesses acquired                 1,028afg_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseReservesOfBusinessAcquired [1] 0afg_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseReservesOfBusinessAcquired 0afg_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseReservesOfBusinessAcquired
Foreign currency translation and other                 (36)afg_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseForeignCurrencyTranslationAndOther (11)afg_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseForeignCurrencyTranslationAndOther 0afg_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseForeignCurrencyTranslationAndOther
Balance at end of period 5,645us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet       4,288us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet       5,645us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet 4,288us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet 4,129us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet
Add back reinsurance recoverables, net of allowance 2,227afg_ReinsuranceRecoverablesOnUnpaidLossesPropertyCasualtyLiability       2,122afg_ReinsuranceRecoverablesOnUnpaidLossesPropertyCasualtyLiability       2,227afg_ReinsuranceRecoverablesOnUnpaidLossesPropertyCasualtyLiability 2,122afg_ReinsuranceRecoverablesOnUnpaidLossesPropertyCasualtyLiability 2,716afg_ReinsuranceRecoverablesOnUnpaidLossesPropertyCasualtyLiability
Gross unpaid losses and LAE included in the Balance Sheet $ 7,872us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpensePropertyCasualtyLiability       $ 6,410us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpensePropertyCasualtyLiability       $ 7,872us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpensePropertyCasualtyLiability $ 6,410us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpensePropertyCasualtyLiability $ 6,845us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpensePropertyCasualtyLiability
[1] Reflects the acquisition of Summit in April 2014 (see Note B — “Acquisitions and Sales of Businesses”).