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Condensed Financial Information of Parent Company (Details 3) (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
Operating Activities:                      
Net earnings attributable to shareholders $ 127us-gaap_NetIncomeLoss $ 116us-gaap_NetIncomeLoss $ 106us-gaap_NetIncomeLoss $ 103us-gaap_NetIncomeLoss $ 158us-gaap_NetIncomeLoss $ 83us-gaap_NetIncomeLoss $ 110us-gaap_NetIncomeLoss $ 120us-gaap_NetIncomeLoss $ 452us-gaap_NetIncomeLoss $ 471us-gaap_NetIncomeLoss $ 488us-gaap_NetIncomeLoss
Adjustments:                      
Net cash provided by operating activities                 1,222us-gaap_NetCashProvidedByUsedInOperatingActivities 760us-gaap_NetCashProvidedByUsedInOperatingActivities 817us-gaap_NetCashProvidedByUsedInOperatingActivities
Investing Activities:                      
Net cash used in investing activities                 (3,619)us-gaap_NetCashProvidedByUsedInInvestingActivities (2,915)us-gaap_NetCashProvidedByUsedInInvestingActivities (1,425)us-gaap_NetCashProvidedByUsedInInvestingActivities
Financing Activities:                      
Additional long-term borrowings                 145us-gaap_ProceedsFromIssuanceOfLongTermDebt 0us-gaap_ProceedsFromIssuanceOfLongTermDebt 372us-gaap_ProceedsFromIssuanceOfLongTermDebt
Reductions of long-term debt                 (2)us-gaap_RepaymentsOfLongTermDebt (40)us-gaap_RepaymentsOfLongTermDebt (365)us-gaap_RepaymentsOfLongTermDebt
Issuances of Common Stock                 47us-gaap_ProceedsFromIssuanceOfCommonStock 54us-gaap_ProceedsFromIssuanceOfCommonStock 46us-gaap_ProceedsFromIssuanceOfCommonStock
Repurchases of Common Stock                 (191)us-gaap_PaymentsForRepurchaseOfCommonStock (70)us-gaap_PaymentsForRepurchaseOfCommonStock (415)us-gaap_PaymentsForRepurchaseOfCommonStock
Cash dividends paid on Common Stock                 (167)us-gaap_PaymentsOfDividendsCommonStock (160)us-gaap_PaymentsOfDividendsCommonStock (90)us-gaap_PaymentsOfDividendsCommonStock
Net cash provided by (used in) financing activities                 2,101us-gaap_NetCashProvidedByUsedInFinancingActivities 2,089us-gaap_NetCashProvidedByUsedInFinancingActivities 989us-gaap_NetCashProvidedByUsedInFinancingActivities
Net Change in Cash and Cash Equivalents                 (296)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease (66)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease 381us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
Cash and cash equivalents at beginning of year       1,639us-gaap_CashAndCashEquivalentsAtCarryingValue       1,705us-gaap_CashAndCashEquivalentsAtCarryingValue 1,639us-gaap_CashAndCashEquivalentsAtCarryingValue 1,705us-gaap_CashAndCashEquivalentsAtCarryingValue 1,324us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents at end of year 1,343us-gaap_CashAndCashEquivalentsAtCarryingValue       1,639us-gaap_CashAndCashEquivalentsAtCarryingValue       1,343us-gaap_CashAndCashEquivalentsAtCarryingValue 1,639us-gaap_CashAndCashEquivalentsAtCarryingValue 1,705us-gaap_CashAndCashEquivalentsAtCarryingValue
AFG [Member]                      
Operating Activities:                      
Net earnings attributable to shareholders                 452us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
471us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
488us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Adjustments:                      
Equity in net earnings of subsidiaries                 (545)afg_EquityInAfterTaxEarningsOfConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(579)afg_EquityInAfterTaxEarningsOfConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(515)afg_EquityInAfterTaxEarningsOfConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Dividends from subsidiaries                 451us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
543us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
417us-gaap_CashDividendsPaidToParentCompanyByConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Other operating activities, net                 14afg_OtherOperatingActivitiesCondensedConsolidatingCashFlowStatement
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(7)afg_OtherOperatingActivitiesCondensedConsolidatingCashFlowStatement
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(10)afg_OtherOperatingActivitiesCondensedConsolidatingCashFlowStatement
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Net cash provided by operating activities                 372us-gaap_NetCashProvidedByUsedInOperatingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
428us-gaap_NetCashProvidedByUsedInOperatingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
380us-gaap_NetCashProvidedByUsedInOperatingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Investing Activities:                      
Capital contributions to subsidiaries                 (431)afg_CapitalContributionsToSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(38)afg_CapitalContributionsToSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(274)afg_CapitalContributionsToSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Returns of capital from subsidiaries                 0afg_ReturnsOfCapitalFromSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
36afg_ReturnsOfCapitalFromSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
1afg_ReturnsOfCapitalFromSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Purchases of investments, property and equipment                 (1)afg_PurchasesOfInvestmentsPropertyAndEquipment
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(2)afg_PurchasesOfInvestmentsPropertyAndEquipment
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(11)afg_PurchasesOfInvestmentsPropertyAndEquipment
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Net cash used in investing activities                 (432)us-gaap_NetCashProvidedByUsedInInvestingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(4)us-gaap_NetCashProvidedByUsedInInvestingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(284)us-gaap_NetCashProvidedByUsedInInvestingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Financing Activities:                      
Additional long-term borrowings                 145us-gaap_ProceedsFromIssuanceOfLongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
0us-gaap_ProceedsFromIssuanceOfLongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
344us-gaap_ProceedsFromIssuanceOfLongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Reductions of long-term debt                 0us-gaap_RepaymentsOfLongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
0us-gaap_RepaymentsOfLongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(115)us-gaap_RepaymentsOfLongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Issuances of Common Stock                 42us-gaap_ProceedsFromIssuanceOfCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
50us-gaap_ProceedsFromIssuanceOfCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
44us-gaap_ProceedsFromIssuanceOfCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Repurchases of Common Stock                 (191)us-gaap_PaymentsForRepurchaseOfCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(70)us-gaap_PaymentsForRepurchaseOfCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(415)us-gaap_PaymentsForRepurchaseOfCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Cash dividends paid on Common Stock                 (167)us-gaap_PaymentsOfDividendsCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(160)us-gaap_PaymentsOfDividendsCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(90)us-gaap_PaymentsOfDividendsCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Net cash provided by (used in) financing activities                 (171)us-gaap_NetCashProvidedByUsedInFinancingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(180)us-gaap_NetCashProvidedByUsedInFinancingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(232)us-gaap_NetCashProvidedByUsedInFinancingActivities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Net Change in Cash and Cash Equivalents                 (231)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
244us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(136)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Cash and cash equivalents at beginning of year       523us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
      279us-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
Cash and cash equivalents at end of year $ 292us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
      $ 523us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
      $ 292us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 523us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 279us-gaap_CashAndCashEquivalentsAtCarryingValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember