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Investments - Schedule of Carrying Value and Unfunded Investment Commitments of Other Invested Assets Portfolio (Detail) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Schedule Of Investments [Line Items]    
Carrying Value $ 4,064.4us-gaap_Investments $ 4,097.9us-gaap_Investments [1]
Other Investments [Member]    
Schedule Of Investments [Line Items]    
Carrying Value 120.8us-gaap_Investments
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
113.9us-gaap_Investments
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
Unfunded Commitments 0us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
0us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherInvestmentsMember
Hedge funds [Member]    
Schedule Of Investments [Line Items]    
Carrying Value 145.5us-gaap_Investments
/ us-gaap_InvestmentTypeAxis
= us-gaap_HedgeFundsMember
153.2us-gaap_Investments
/ us-gaap_InvestmentTypeAxis
= us-gaap_HedgeFundsMember
Unfunded Commitments 0us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_InvestmentTypeAxis
= us-gaap_HedgeFundsMember
0us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_InvestmentTypeAxis
= us-gaap_HedgeFundsMember
Private equity [Member]    
Schedule Of Investments [Line Items]    
Carrying Value 139.6us-gaap_Investments
/ us-gaap_InvestmentTypeAxis
= agii_PrivateEquityMember
123.6us-gaap_Investments
/ us-gaap_InvestmentTypeAxis
= agii_PrivateEquityMember
Unfunded Commitments 60.6us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_InvestmentTypeAxis
= agii_PrivateEquityMember
72.9us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_InvestmentTypeAxis
= agii_PrivateEquityMember
Long only funds [Member]    
Schedule Of Investments [Line Items]    
Carrying Value 115.0us-gaap_Investments
/ us-gaap_InvestmentTypeAxis
= agii_HedgeFundsLongPositionOnlyMember
104.4us-gaap_Investments
/ us-gaap_InvestmentTypeAxis
= agii_HedgeFundsLongPositionOnlyMember
Unfunded Commitments 0us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_InvestmentTypeAxis
= agii_HedgeFundsLongPositionOnlyMember
0us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_InvestmentTypeAxis
= agii_HedgeFundsLongPositionOnlyMember
Other invested assets [Member]    
Schedule Of Investments [Line Items]    
Carrying Value 520.9us-gaap_Investments
/ us-gaap_InvestmentTypeAxis
= agii_OtherInvestedAssetsMember
495.1us-gaap_Investments
/ us-gaap_InvestmentTypeAxis
= agii_OtherInvestedAssetsMember
Unfunded Commitments $ 60.6us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_InvestmentTypeAxis
= agii_OtherInvestedAssetsMember
$ 72.9us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_InvestmentTypeAxis
= agii_OtherInvestedAssetsMember
[1] Derived from audited consolidated financial statements.