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Variable Interest Entity and Noncontrolling Interests - Variable interest entity (Details) (USD $)
Share data in Millions, unless otherwise specified
1 Months Ended 12 Months Ended 1 Months Ended
Oct. 30, 2001
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Mar. 31, 2014
Dec. 31, 2011
Variable Interest Entity [Line Items]            
Proceeds from from common shares issued, net $ 763,200,000us-gaap_ProceedsFromIssuanceOfCommonStock          
Proceeds on issuance of preference shares   0us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock 0us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock 315,763,000us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock    
Unearned premiums   2,231,578,000us-gaap_UnearnedPremiums 1,896,365,000us-gaap_UnearnedPremiums      
Reserve for losses and loss adjustment expenses   9,036,448,000us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense 8,824,696,000us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense 8,933,292,000us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense   8,456,210,000us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense
Net cash provided by (used in) operating activities   1,037,130,000us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 850,868,000us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 921,603,000us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations    
Net cash provided by (used in) financing activities   539,943,000us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations 524,018,000us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations (513,035,000)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations    
Net cash provided by (used in) investing activities   1,505,421,000us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations 1,307,513,000us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations 395,968,000us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations    
Variable Interest Entity, Primary Beneficiary | Watford Re            
Variable Interest Entity [Line Items]            
Initial capitalization amount         1,100,000,000acgl_VariableInterestEntityInitialCapitalAmount
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
 
Proceeds from from common shares issued, net         907,300,000us-gaap_ProceedsFromIssuanceOfCommonStock
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
 
Net proceeds from issuance of common shares         895,600,000acgl_NetProceedsFromIssuanceofCommonStock
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
 
Proceeds on issuance of preference shares         226,600,000us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
 
Net proceeds on issuance of preference shares         219,200,000acgl_NetProceedsOnIssuanceOfPreferenceStock
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
 
Initial investment contribution amount         100,000,000us-gaap_PaymentsToAcquireBusinessesAndInterestInAffiliates
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
 
Ownership percentage         11.00%us-gaap_VariableInterestEntityOwnershipPercentage
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
 
Number of warrants received in capital raising         1.7us-gaap_DebtConversionConvertedInstrumentWarrantsOrOptionsIssued1
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
 
Unearned premiums   180,000,000us-gaap_UnearnedPremiums
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
       
Reserve for losses and loss adjustment expenses   66,300,000us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
       
Net cash provided by (used in) operating activities   39,300,000us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
       
Net cash provided by (used in) financing activities   1,160,000,000us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember
       
Net cash provided by (used in) investing activities   $ 1,180,000,000us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations
/ dei_LegalEntityAxis
= acgl_WatfordReMember
/ us-gaap_VariableInterestEntitiesByClassificationOfEntityAxis
= us-gaap_VariableInterestEntityPrimaryBeneficiaryMember