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Investments (Details Textual) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 31, 2015
investment
Mar. 31, 2014
Dec. 31, 2014
investment
Investment [Line Items]      
Percentage (based on amount of unrealized loss) of available for sale fixed maturities that are in an unrealized loss position and rated investment grade 55.00%afg_PercentageBasedOnUnrealizedLossOfAvailableForSaleFixedMaturitiesThatAreInUnrealizedLossPositionAndRatedInvestmentGrade    
Percentage (based on fair value) of available for sale fixed maturities that are in an unrealized loss position and rated investment grade 79.00%afg_PercentageBasedOnFairValueOfAvailableForSaleFixedMaturitiesThatAreInUnrealizedLossPositionAndRatedInvestmentGrade    
Other than temporary impairment charges $ 4us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities $ 1us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities  
Average life of ABS 4 years 6 months    
Average life of MBS 4 years 6 months    
The number of investments in individual issuers that exceeded 10% of Shareholders’ Equity 0afg_NumberOfInvestmentsInIndividualIssuersThatExceededOneTenthOfShareholdersEquity   0afg_NumberOfInvestmentsInIndividualIssuersThatExceededOneTenthOfShareholdersEquity
Percentage increase in shareholders' equity 10.00%afg_InvestmentsInIndividualIssuersAsPercentageOfShareholdersEquity   10.00%afg_InvestmentsInIndividualIssuersAsPercentageOfShareholdersEquity
Residential Mortgage Backed Securities [Member]      
Investment [Line Items]      
Non-credit related portion of other-than-temporary impairment charges taken for securities still owned 218afg_NonCreditRelatedPortionOfOttiChargesTakenForSecuritiesStillOwned
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
  220afg_NonCreditRelatedPortionOfOttiChargesTakenForSecuritiesStillOwned
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Fixed maturities, Gross Unrealized, Losses (13)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
  (15)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
Securities with non-credit other-than-temporary impairment charges [Member]      
Investment [Line Items]      
Gross Unrealized, Gains 152us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_SecuritiesWithNonCreditOtherThanTemporaryImpairmentChargesMember
  151us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_SecuritiesWithNonCreditOtherThanTemporaryImpairmentChargesMember
Gross Unrealized, Losses (7)us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_SecuritiesWithNonCreditOtherThanTemporaryImpairmentChargesMember
  (8)us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= afg_SecuritiesWithNonCreditOtherThanTemporaryImpairmentChargesMember
Fixed maturities [Member]      
Investment [Line Items]      
Fixed maturities, Gross Unrealized, Losses (54)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
  (79)us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
Number of available for sale securities in an unrealized loss position 480afg_NumberOfAvailableForSaleSecuritiesInUnrealizedLossPosition
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
   
Other than temporary impairment charges 5us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
1us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_FixedMaturitiesMember
 
Corporate bonds [Member]      
Investment [Line Items]      
Other than temporary impairment charges 5us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CorporateBondSecuritiesMember
   
Common stocks [Member]      
Investment [Line Items]      
Number of available for sale securities in an unrealized loss position 33afg_NumberOfAvailableForSaleSecuritiesInUnrealizedLossPosition
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommonStockMember
   
Other than temporary impairment charges 2us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommonStockMember
   
Equity securities, Gross Unrealized, Losses (33)us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommonStockMember
  (25)us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommonStockMember
Preferred stocks [Member]      
Investment [Line Items]      
Number of available for sale securities in an unrealized loss position 11afg_NumberOfAvailableForSaleSecuritiesInUnrealizedLossPosition
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_PreferredStockMember
   
Equity securities, Gross Unrealized, Losses (3)us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_PreferredStockMember
  (5)us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_PreferredStockMember
Maximum [Member] | Residential Mortgage Backed Securities [Member]      
Investment [Line Items]      
Other than temporary impairment charges $ 1us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Number of available for sale securities in an unrealized loss position for twelve months or longer [Member] | Common stocks [Member]      
Investment [Line Items]      
Number of available for sale securities in an unrealized loss position 0afg_NumberOfAvailableForSaleSecuritiesInUnrealizedLossPosition
/ us-gaap_InvestmentTypeAxis
= afg_NumberOfAvailableForSaleSecuritiesInUnrealizedLossPositionTwelveMonthsOrLongerMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CommonStockMember
   
Number of available for sale securities in an unrealized loss position for twelve months or longer [Member] | Preferred stocks [Member]      
Investment [Line Items]      
Number of available for sale securities in an unrealized loss position 7afg_NumberOfAvailableForSaleSecuritiesInUnrealizedLossPosition
/ us-gaap_InvestmentTypeAxis
= afg_NumberOfAvailableForSaleSecuritiesInUnrealizedLossPositionTwelveMonthsOrLongerMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_PreferredStockMember