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Segments of Operations (Details) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Segment Reporting Information [Line Items]      
Total assets $ 47,535us-gaap_Assets $ 42,087us-gaap_Assets $ 39,171us-gaap_Assets
Property and Casualty Insurance [Member]      
Segment Reporting Information [Line Items]      
Total assets 14,069us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
[1] 11,717us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
[1] 12,163us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_PropertyAndCasualtyInsuranceMember
[1]
Annuity [Member]      
Segment Reporting Information [Line Items]      
Total assets 27,317us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
24,294us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
20,909us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_AnnuityMember
Run-off Long-term Care and Life [Member]      
Segment Reporting Information [Line Items]      
Total assets 2,489us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
2,408us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
2,304us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= afg_RunOffLongTermCareAndLifeMember
Other [Member]      
Segment Reporting Information [Line Items]      
Total assets $ 3,660us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
$ 3,668us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
$ 3,795us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
[1] Not allocable to sub-segments.