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Investments - Schedule of Investment Income and Expenses (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Amortized Cost And Fair Value Debt Securities [Abstract]      
Interest and dividends on fixed maturities $ 76.3us-gaap_InvestmentIncomeInterestAndDividend $ 87.7us-gaap_InvestmentIncomeInterestAndDividend $ 105.9us-gaap_InvestmentIncomeInterestAndDividend
Dividends on equity securities 15.8us-gaap_InvestmentIncomeDividend 17.7us-gaap_InvestmentIncomeDividend 15.2us-gaap_InvestmentIncomeDividend
Interest on short-term and other investments 5.3us-gaap_InvestmentIncomeInterest 5.0us-gaap_InvestmentIncomeInterest 7.3us-gaap_InvestmentIncomeInterest
Other (1.0)agii_OtherInvestmentIncome (1.0)agii_OtherInvestmentIncome (0.4)agii_OtherInvestmentIncome
Investment income 96.4us-gaap_InsuranceInvestmentIncome 109.4us-gaap_InsuranceInvestmentIncome 128.0us-gaap_InsuranceInvestmentIncome
Investment expenses (9.8)us-gaap_InvestmentIncomeInvestmentExpense (9.4)us-gaap_InvestmentIncomeInvestmentExpense (9.2)us-gaap_InvestmentIncomeInvestmentExpense
Net investment income $ 86.6us-gaap_NetInvestmentIncome $ 100.0us-gaap_NetInvestmentIncome $ 118.8us-gaap_NetInvestmentIncome