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Goodwill and Other Intangibles (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Jun. 30, 2014
Sep. 30, 2012
Dec. 31, 2014
Dec. 31, 2012
Changes in the carrying value of goodwill by reporting segment        
Goodwill, Beginning balance     $ 185us-gaap_Goodwill $ 186us-gaap_Goodwill
Goodwill, Sale of subsidiary   (1)us-gaap_GoodwillWrittenOffRelatedToSaleOfBusinessUnit   (1)us-gaap_GoodwillWrittenOffRelatedToSaleOfBusinessUnit
Goodwill, Acquired during period 16us-gaap_GoodwillAcquiredDuringPeriod   16us-gaap_GoodwillAcquiredDuringPeriod  
Goodwill, Ending balance     201us-gaap_Goodwill 185us-gaap_Goodwill
Property and Casualty [Member]        
Changes in the carrying value of goodwill by reporting segment        
Goodwill, Beginning balance     152us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
152us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Goodwill, Sale of subsidiary       0us-gaap_GoodwillWrittenOffRelatedToSaleOfBusinessUnit
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Goodwill, Acquired during period     16us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
 
Goodwill, Ending balance     168us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
152us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
Annuity [Member]        
Changes in the carrying value of goodwill by reporting segment        
Goodwill, Beginning balance     33us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
34us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Goodwill, Sale of subsidiary       (1)us-gaap_GoodwillWrittenOffRelatedToSaleOfBusinessUnit
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Goodwill, Acquired during period     0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
 
Goodwill, Ending balance     $ 33us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
$ 33us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember