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Investments (Details 4) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Mar. 31, 2014
Dec. 31, 2013
Unrealized gain on:        
Pretax $ 1,249afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax $ 1,162afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax    
Deferred Tax and Amounts Attributable to Noncontrolling Interests (450)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest (419)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest    
Net 799us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax [1] 743us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax [1] 685us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax 563us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
Fixed maturities - annuity segment [Member]        
Unrealized gain on:        
Pretax 1,349afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2] 1,157afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2]    
Deferred Tax and Amounts Attributable to Noncontrolling Interests (472)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2] (405)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2]    
Net 877us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2] 752us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAnnuitySegmentMember
[2]    
Fixed maturities - all other [Member]        
Unrealized gain on:        
Pretax 529afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
503afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests (196)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
(185)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
   
Net 333us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
318us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_FixedMaturitiesAllOtherSegmentsMember
   
Equity securities [Member]        
Unrealized gain on:        
Pretax 224afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
218afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests (81)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
(79)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
   
Net 143us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
139us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_EquitySecuritiesMember
   
Deferred policy acquisition costs - annuity segment [Member]        
Unrealized gain on:        
Pretax (601)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
(531)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests 210afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
186afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
   
Net (391)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
(345)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_DeferredPolicyAcquisitionCostsAnnuitySegmentMember
   
Annuity benefits accumulated [Member]        
Unrealized gain on:        
Pretax (179)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
(112)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests 63afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
39afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
   
Net (116)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
(73)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_AnnuityBenefitsAndOtherLiabilitiesMember
   
Life, accident and health reserves [Member]        
Unrealized gain on:        
Pretax (109)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
(104)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests 38afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
36afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
   
Net (71)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
(68)us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_LifeAccidentAndHealthReservesMember
   
Unearned revenue [Member]        
Unrealized gain on:        
Pretax 36afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
31afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
   
Deferred Tax and Amounts Attributable to Noncontrolling Interests (12)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
(11)afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
   
Net $ 24us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
$ 20us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_UnearnedRevenueMember
   
[1] Includes net unrealized gains of $57 million at March 31, 2015 compared to $58 million at December 31, 2014 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.