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Consolidated Statements of Income (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Premiums and other revenue:    
Earned premiums $ 334.6us-gaap_PremiumsEarnedNet $ 325.7us-gaap_PremiumsEarnedNet
Net investment income 20.8us-gaap_NetInvestmentIncome 23.3us-gaap_NetInvestmentIncome
Net realized investment and other gains 16.0us-gaap_RealizedInvestmentGainsLosses 11.1us-gaap_RealizedInvestmentGainsLosses
Total revenue 371.4us-gaap_Revenues 360.1us-gaap_Revenues
Expenses:    
Losses and loss adjustment expenses 183.7us-gaap_PolicyholderBenefitsAndClaimsIncurredNet 182.5us-gaap_PolicyholderBenefitsAndClaimsIncurredNet
Underwriting, acquisition and insurance expenses 129.6agii_UnderwritingAcquisitionAndInsuranceExpenses 128.7agii_UnderwritingAcquisitionAndInsuranceExpenses
Interest expense 4.9us-gaap_InterestExpense 5.0us-gaap_InterestExpense
Fee expense, net 0.4agii_FeeIncomeExpenseNet 1.4agii_FeeIncomeExpenseNet
Foreign currency exchange (gain) loss (9.6)us-gaap_ForeignCurrencyTransactionGainLossBeforeTax (0.2)us-gaap_ForeignCurrencyTransactionGainLossBeforeTax
Total expenses 309.0us-gaap_BenefitsLossesAndExpenses 317.4us-gaap_BenefitsLossesAndExpenses
Income before income taxes 62.4us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 42.7us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Provision for income taxes 3.6us-gaap_IncomeTaxExpenseBenefit 2.5us-gaap_IncomeTaxExpenseBenefit
Net income 58.8us-gaap_NetIncomeLoss 40.2us-gaap_NetIncomeLoss
Net income per common share:    
Basic $ 2.09us-gaap_EarningsPerShareBasic $ 1.38us-gaap_EarningsPerShareBasic
Diluted $ 2.05us-gaap_EarningsPerShareDiluted $ 1.36us-gaap_EarningsPerShareDiluted
Dividend declared per common share $ 0.20us-gaap_CommonStockDividendsPerShareDeclared $ 0.14us-gaap_CommonStockDividendsPerShareDeclared
Weighted average common shares:    
Basic 28,129,692us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 29,165,911us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Diluted 28,677,379us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 29,663,090us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Net realized investment and other gains before other-than-temporary impairment losses 16.5us-gaap_GainLossOnSaleOfInvestments 11.1us-gaap_GainLossOnSaleOfInvestments
Other-than-temporary impairment losses recognized in earnings:    
Other-than-temporary impairment losses on fixed maturities (0.4)agii_OtherThanTemporaryImpairmentLossesFixedMaturities 0agii_OtherThanTemporaryImpairmentLossesFixedMaturities
Other-than-temporary impairment losses on equity securities (0.1)agii_OtherThanTemporaryImpairmentLossesOnEquitySecurities 0agii_OtherThanTemporaryImpairmentLossesOnEquitySecurities
Impairment losses recognized in earnings (0.5)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities 0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities
Net realized investment and other gains $ 16.0us-gaap_RealizedInvestmentGainsLosses $ 11.1us-gaap_RealizedInvestmentGainsLosses