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Consolidated Statements of Income (USD $)
In Thousands, except Share data, unless otherwise specified
 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Revenues      
Net premiums written $ 3,891,938us-gaap_PremiumsWrittenNet $ 3,351,367us-gaap_PremiumsWrittenNet $ 3,052,235us-gaap_PremiumsWrittenNet
Change in unearned premiums (298,190)us-gaap_IncreaseDecreaseInUnearnedPremiums (205,415)us-gaap_IncreaseDecreaseInUnearnedPremiums (117,095)us-gaap_IncreaseDecreaseInUnearnedPremiums
Net premiums earned 3,593,748us-gaap_PremiumsEarnedNet 3,145,952us-gaap_PremiumsEarnedNet 2,935,140us-gaap_PremiumsEarnedNet
Net investment income 302,585us-gaap_InvestmentIncomeNet 267,219us-gaap_InvestmentIncomeNet 294,895us-gaap_InvestmentIncomeNet
Net realized gains 102,917us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 74,018us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 194,228us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments
Other-than-temporary impairment losses (30,470)us-gaap_MarketableSecuritiesRealizedGainLossOtherThanTemporaryImpairmentsAmount (3,961)us-gaap_MarketableSecuritiesRealizedGainLossOtherThanTemporaryImpairmentsAmount (12,175)us-gaap_MarketableSecuritiesRealizedGainLossOtherThanTemporaryImpairmentsAmount
Less investment impairments recognized in other comprehensive income, before taxes 320acgl_PortionOfImpairmentLossRecognizedInOtherComprehensiveIncome 175acgl_PortionOfImpairmentLossRecognizedInOtherComprehensiveIncome 787acgl_PortionOfImpairmentLossRecognizedInOtherComprehensiveIncome
Net impairment losses recognized in earnings (30,150)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (3,786)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (11,388)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
Other underwriting income 10,142us-gaap_InsuranceCommissionsAndFees 7,639us-gaap_InsuranceCommissionsAndFees 8,090us-gaap_InsuranceCommissionsAndFees
Equity in net income of investment funds accounted for using the equity method 19,883us-gaap_IncomeLossFromEquityMethodInvestments 35,701us-gaap_IncomeLossFromEquityMethodInvestments 73,510us-gaap_IncomeLossFromEquityMethodInvestments
Other income (loss) (10,252)us-gaap_OtherIncome (586)us-gaap_OtherIncome (12,094)us-gaap_OtherIncome
Total revenues 3,988,873us-gaap_Revenues 3,526,157us-gaap_Revenues 3,482,381us-gaap_Revenues
Expenses      
Losses and loss adjustment expenses 1,919,250us-gaap_PolicyholderBenefitsAndClaimsIncurredNet 1,679,424us-gaap_PolicyholderBenefitsAndClaimsIncurredNet 1,861,277us-gaap_PolicyholderBenefitsAndClaimsIncurredNet
Acquisition expenses 657,262us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense 564,103us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense 508,884us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense
Other operating expenses 606,224us-gaap_OtherCostAndExpenseOperating 500,730us-gaap_OtherCostAndExpenseOperating 465,353us-gaap_OtherCostAndExpenseOperating
Interest expense 45,634us-gaap_InterestExpense 27,060us-gaap_InterestExpense 28,525us-gaap_InterestExpense
Net foreign exchange (gains) losses (83,744)us-gaap_ForeignCurrencyTransactionGainLossBeforeTax 12,335us-gaap_ForeignCurrencyTransactionGainLossBeforeTax 28,955us-gaap_ForeignCurrencyTransactionGainLossBeforeTax
Total expenses 3,144,626us-gaap_BenefitsLossesAndExpenses 2,783,652us-gaap_BenefitsLossesAndExpenses 2,892,994us-gaap_BenefitsLossesAndExpenses
Income before income taxes 844,247us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 742,505us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 589,387us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
Current tax expense 30,550us-gaap_CurrentIncomeTaxExpenseBenefit 32,696us-gaap_CurrentIncomeTaxExpenseBenefit 9,004us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred tax (benefit) expense (7,563)us-gaap_DeferredIncomeTaxExpenseBenefit 78us-gaap_DeferredIncomeTaxExpenseBenefit (13,014)us-gaap_DeferredIncomeTaxExpenseBenefit
Income tax expense (benefit) 22,987us-gaap_IncomeTaxExpenseBenefit 32,774us-gaap_IncomeTaxExpenseBenefit (4,010)us-gaap_IncomeTaxExpenseBenefit
Net income 821,260us-gaap_ProfitLoss 709,731us-gaap_ProfitLoss 593,397us-gaap_ProfitLoss
Amounts attributable to noncontrolling interests 13,095us-gaap_NetIncomeLossAttributableToNoncontrollingInterest [1] 0us-gaap_NetIncomeLossAttributableToNoncontrollingInterest [1] 0us-gaap_NetIncomeLossAttributableToNoncontrollingInterest [1]
Net income available to Arch 834,355us-gaap_NetIncomeLoss 709,731us-gaap_NetIncomeLoss 593,397us-gaap_NetIncomeLoss
Preferred dividends (21,938)us-gaap_DividendsPreferredStock (21,938)us-gaap_DividendsPreferredStock (25,079)us-gaap_DividendsPreferredStock
Loss on repurchase of preferred shares 0us-gaap_PreferredStockRedemptionPremium 0us-gaap_PreferredStockRedemptionPremium (10,612)us-gaap_PreferredStockRedemptionPremium
Net income available to Arch common shareholders $ 812,417us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 687,793us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic $ 557,706us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Net income per common share      
Basic (per share) $ 6.21us-gaap_EarningsPerShareBasic $ 5.24us-gaap_EarningsPerShareBasic $ 4.15us-gaap_EarningsPerShareBasic
Diluted (per share) $ 6.02us-gaap_EarningsPerShareDiluted $ 5.07us-gaap_EarningsPerShareDiluted $ 4.03us-gaap_EarningsPerShareDiluted
Weighted average common shares and common share equivalents outstanding      
Basic (shares) 130,817,610us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 131,355,392us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 134,446,158us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Diluted (shares) 134,922,322us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 135,777,183us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 138,258,847us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
[1] See Note 4.