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Schedule III - Supplementary Insurance Information (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs, Net $ 414,525us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts $ 342,314us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts $ 262,822us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
Reserves for Losses and Loss Adjustment Expenses 9,036,448us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves 8,824,696us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves 8,933,292us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
Unearned Premiums 2,231,578us-gaap_SupplementaryInsuranceInformationUnearnedPremiums 1,896,365us-gaap_SupplementaryInsuranceInformationUnearnedPremiums 1,647,978us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
Net Premiums Earned 3,593,748us-gaap_SupplementaryInsuranceInformationPremiumRevenue 3,145,952us-gaap_SupplementaryInsuranceInformationPremiumRevenue 2,935,140us-gaap_SupplementaryInsuranceInformationPremiumRevenue
Net Losses and Loss Adjustment Expenses Incurred 1,919,250us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense 1,679,424us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense 1,861,277us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
Amortization of Deferred Acquisition Costs 657,262us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts 564,103us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts 508,884us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
Other Operating Expenses 556,280us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense [1] 458,327us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense [1] 430,035us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense [1]
Net Premiums Written 3,891,938us-gaap_SupplementaryInsuranceInformationPremiumsWritten 3,351,367us-gaap_SupplementaryInsuranceInformationPremiumsWritten 3,052,235us-gaap_SupplementaryInsuranceInformationPremiumsWritten
Insurance      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs, Net 178,545us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
158,121us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
141,962us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
Reserves for Losses and Loss Adjustment Expenses 6,161,500us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
6,137,121us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
6,149,247us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
Unearned Premiums 1,237,099us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
1,192,188us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
1,077,211us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
Net Premiums Earned 2,017,370us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
1,876,014us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
1,800,343us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
Net Losses and Loss Adjustment Expenses Incurred 1,260,953us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
1,188,445us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
1,283,841us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
Amortization of Deferred Acquisition Costs 316,308us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
311,904us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
298,983us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
Other Operating Expenses 335,157us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
[1] 315,387us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
[1] 307,489us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
[1]
Net Premiums Written 2,146,654us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
1,948,796us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
1,825,334us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_InsuranceSegmentMember
Reinsurance      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs, Net 148,130us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
167,642us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
106,677us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
Reserves for Losses and Loss Adjustment Expenses 2,690,070us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
2,680,288us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
2,781,424us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
Unearned Premiums 666,233us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
612,725us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
517,619us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
Net Premiums Earned 1,279,328us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
1,218,672us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
1,118,127us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
Net Losses and Loss Adjustment Expenses Incurred 532,450us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
486,236us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
574,821us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
Amortization of Deferred Acquisition Costs 261,438us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
234,373us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
204,903us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
Other Operating Expenses 147,964us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
[1] 134,563us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
[1] 118,245us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
[1]
Net Premiums Written 1,265,991us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
1,313,001us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
1,158,790us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_ReinsuranceSegmentMember
Mortgage      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs, Net 38,321us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
16,551us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
14,183us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
Reserves for Losses and Loss Adjustment Expenses 118,550us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
7,287us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
2,621us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
Unearned Premiums 148,232us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
91,452us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
53,148us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
Net Premiums Earned 193,573us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
51,266us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
16,670us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
Net Losses and Loss Adjustment Expenses Incurred 55,674us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
4,743us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
2,615us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
Amortization of Deferred Acquisition Costs 49,400us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
17,826us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
4,998us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
Other Operating Expenses 66,891us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
[1] 8,377us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
[1] 4,301us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
[1]
Net Premiums Written 204,837us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
89,570us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
68,111us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= acgl_MortgageSegmentMember
Other      
Supplementary Insurance Information, by Segment [Line Items]      
Deferred Acquisition Costs, Net 49,529us-gaap_SupplementaryInsuranceInformationDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
Reserves for Losses and Loss Adjustment Expenses 66,328us-gaap_SupplementaryInsuranceInformationLiabilityForFuturePolicyBenefitsLossesClaimsAndLossExpenseReserves
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
Unearned Premiums 180,014us-gaap_SupplementaryInsuranceInformationUnearnedPremiums
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
Net Premiums Earned 103,477us-gaap_SupplementaryInsuranceInformationPremiumRevenue
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
Net Losses and Loss Adjustment Expenses Incurred 70,173us-gaap_SupplementaryInsuranceInformationBenefitsClaimsLossesAndSettlementExpense
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
Amortization of Deferred Acquisition Costs 30,116us-gaap_SupplementaryInsuranceInformationAmortizationOfDeferredPolicyAcquisitionCosts
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
Other Operating Expenses 6,268us-gaap_SupplementaryInsuranceInformationOtherOperatingExpense
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
[1]    
Net Premiums Written $ 274,456us-gaap_SupplementaryInsuranceInformationPremiumsWritten
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CorporateAndOtherMember
   
[1] Certain other operating expenses relate to the Company’s corporate segment (non-underwriting). Such amounts are not reflected in the table above. See Note 5.