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Investments (Details 4) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Unrealized gain on:        
Pretax $ 1,162afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax $ 880afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax    
Deferred Tax and Amounts Attributable to Noncontrolling Interests (419)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest (317)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest    
Net 743us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax [1] 563us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax [1] 823us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax [1] 578us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
Fixed maturities - annuity segment [Member]        
Unrealized gain on:        
Pretax 1,157afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2] 729afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2]    
Deferred Tax and Amounts Attributable to Noncontrolling Interests (405)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2] (255)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2]    
Net 752us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2] 474us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2]    
Fixed maturities - all other [Member]        
Unrealized gain on:        
Pretax 503afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
361afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests (185)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
(133)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
   
Net 318us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
228us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
   
Equity securities [Member]        
Unrealized gain on:        
Pretax 218afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
192afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests (79)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
(70)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
   
Net 139us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
122us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
   
Deferred policy acquisition costs - annuity segment [Member]        
Unrealized gain on:        
Pretax (531)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
(345)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests 186afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
121afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
   
Net (345)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
(224)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
   
Annuity benefits accumulated [Member]        
Unrealized gain on:        
Pretax (112)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
(71)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests 39afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
25afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
   
Net (73)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
(46)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
   
Life, accident and health reserves [Member]        
Unrealized gain on:        
Pretax (104)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
(8)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests 36afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
3afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
   
Net (68)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
(5)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
   
Unearned revenue [Member]        
Unrealized gain on:        
Pretax 31afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
22afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests (11)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
(8)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
   
Net $ 20us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
$ 14us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
   
[1] Includes net unrealized gains of $58 million at December 31, 2014 compared to net unrealized gains of $54 million and $33 million at December 31, 2013 and 2012, related to securities for which only the credit portion of an other-than-temporary impairment has been recorded in earnings.
[2] Unrealized gains on fixed maturity investments supporting AFG’s annuity benefits accumulated.