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Run-Off Lines - Net Underwriting Results for Run-Off Lines (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]      
Total Asbestos and Environmental $ (13.3)agii_AsbestosAndEnvironmentalNetUnderwritingResults $ (11.0)agii_AsbestosAndEnvironmentalNetUnderwritingResults $ (9.1)agii_AsbestosAndEnvironmentalNetUnderwritingResults
Total Run-off Lines (31.0)agii_DiscontinuedOperationNetUnderwritingResults (19.6)agii_DiscontinuedOperationNetUnderwritingResults (10.9)agii_DiscontinuedOperationNetUnderwritingResults
Reinsurance Assumed [Member]      
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]      
Total Asbestos and Environmental (8.3)agii_AsbestosAndEnvironmentalNetUnderwritingResults
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= agii_ReinsuranceAssumedMember
(3.8)agii_AsbestosAndEnvironmentalNetUnderwritingResults
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= agii_ReinsuranceAssumedMember
(3.6)agii_AsbestosAndEnvironmentalNetUnderwritingResults
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= agii_ReinsuranceAssumedMember
Other [Member]      
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]      
Total Asbestos and Environmental (5.0)agii_AsbestosAndEnvironmentalNetUnderwritingResults
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= agii_OtherAsbestosAndEnvironmentalLiabilitiesMember
(7.2)agii_AsbestosAndEnvironmentalNetUnderwritingResults
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(5.5)agii_AsbestosAndEnvironmentalNetUnderwritingResults
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= agii_OtherAsbestosAndEnvironmentalLiabilitiesMember
Risk Management [Member]      
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]      
Total Run-off Lines (15.5)agii_DiscontinuedOperationNetUnderwritingResults
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= agii_RiskManagementMember
(5.9)agii_DiscontinuedOperationNetUnderwritingResults
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= agii_RiskManagementMember
0.9agii_DiscontinuedOperationNetUnderwritingResults
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= agii_RiskManagementMember
Run-Off Reinsurance Lines [Member]      
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]      
Total Run-off Lines (1.5)agii_DiscontinuedOperationNetUnderwritingResults
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= agii_PXRERunOffLinesMember
(1.9)agii_DiscontinuedOperationNetUnderwritingResults
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(1.1)agii_DiscontinuedOperationNetUnderwritingResults
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= agii_PXRERunOffLinesMember
Other Run-Off Lines [Member]      
Income Statement Balance Sheet And Additional Disclosures By Disposal Groups Including Discontinued Operations [Line Items]      
Total Run-off Lines $ (0.7)agii_DiscontinuedOperationNetUnderwritingResults
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= agii_OtherRunOffLinesMember
$ (0.8)agii_DiscontinuedOperationNetUnderwritingResults
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= agii_OtherRunOffLinesMember
$ (1.6)agii_DiscontinuedOperationNetUnderwritingResults
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= agii_OtherRunOffLinesMember