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Income Taxes - Reconciliation of Difference Between Provision for Income Taxes and Expected Tax Provision at Weighted Average Tax Rate (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Income Tax Examination [Line Items]      
Income tax provision at expected rate $ 37.2agii_IncomeTaxProvisionAtExpectedRate $ 43.1agii_IncomeTaxProvisionAtExpectedRate $ 18.5agii_IncomeTaxProvisionAtExpectedRate
Tax-exempt interest (4.5)us-gaap_InterestIncomeSecuritiesTaxExempt (5.6)us-gaap_InterestIncomeSecuritiesTaxExempt (5.6)us-gaap_InterestIncomeSecuritiesTaxExempt
Dividends received deduction (2.3)us-gaap_IncomeTaxReconciliationDeductionsDividends (2.3)us-gaap_IncomeTaxReconciliationDeductionsDividends (2.2)us-gaap_IncomeTaxReconciliationDeductionsDividends
Valuation allowance change (30.8)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount 3.7us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount 2.1us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount
Other permanent adjustments, net (0.7)us-gaap_IncomeTaxReconciliationOtherAdjustments 0.3us-gaap_IncomeTaxReconciliationOtherAdjustments 1.8us-gaap_IncomeTaxReconciliationOtherAdjustments
Adjustment for prior year tax return (0.9)us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes (1.6)us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes 0.2us-gaap_IncomeTaxReconciliationPriorYearIncomeTaxes
United States state tax expense (benefit) 2.5us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 0.3us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes (0.3)us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
PXRE Reinsurance capital loss carryforward 29.8agii_IncomeTaxReconciliationCapitalLossCarryforwards    
Other foreign adjustments 0.7us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentTax (0.1)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentTax  
Deferred tax rate reduction (0.4)agii_IncomeTaxReconciliationChangeInDeferredTaxRate (1.2)agii_IncomeTaxReconciliationChangeInDeferredTaxRate (0.6)agii_IncomeTaxReconciliationChangeInDeferredTaxRate
Foreign exchange adjustments 0.2agii_ForeignExchangeAdjustments (1.7)agii_ForeignExchangeAdjustments 0.5agii_ForeignExchangeAdjustments
Foreign withholding taxes 0.4agii_ForeignWithholdingTaxes 0.5agii_ForeignWithholdingTaxes  
Income tax provision 32.8us-gaap_IncomeTaxExpenseBenefit 36.5us-gaap_IncomeTaxExpenseBenefit 14.4us-gaap_IncomeTaxExpenseBenefit
Income tax provision - Foreign 5.2us-gaap_ForeignIncomeTaxExpenseBenefitContinuingOperations 2.4us-gaap_ForeignIncomeTaxExpenseBenefitContinuingOperations 3.3us-gaap_ForeignIncomeTaxExpenseBenefitContinuingOperations
Income tax provision - United States, Federal 23.3us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperations 33.2us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperations 11.5us-gaap_FederalIncomeTaxExpenseBenefitContinuingOperations
Income tax provision (benefit) - United States, state 3.9us-gaap_StateAndLocalIncomeTaxExpenseBenefitContinuingOperations 0.4us-gaap_StateAndLocalIncomeTaxExpenseBenefitContinuingOperations (0.4)us-gaap_StateAndLocalIncomeTaxExpenseBenefitContinuingOperations
Foreign withholding tax - United States 0.4us-gaap_OtherIncomeTaxExpenseBenefitContinuingOperations 0.5us-gaap_OtherIncomeTaxExpenseBenefitContinuingOperations  
Income tax provision 32.8us-gaap_IncomeTaxExpenseBenefit 36.5us-gaap_IncomeTaxExpenseBenefit 14.4us-gaap_IncomeTaxExpenseBenefit
Scenario, Previously Reported [Member]      
Income Tax Examination [Line Items]      
Prior period adjustment for deferred 1.5agii_IncomeTaxReconciliationAdjustmentsDeferredTaxAssets
/ us-gaap_StatementScenarioAxis
= us-gaap_ScenarioPreviouslyReportedMember
   
Prior year foreign taxes $ 0.1agii_PriorYearForeignTaxesRecovered
/ us-gaap_StatementScenarioAxis
= us-gaap_ScenarioPreviouslyReportedMember
$ 1.1agii_PriorYearForeignTaxesRecovered
/ us-gaap_StatementScenarioAxis
= us-gaap_ScenarioPreviouslyReportedMember