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Investment in Joint Venture (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
May 31, 2008
Oct. 01, 2014
Schedule of Equity Method Investments [Line Items]          
Investment in joint venture, at cost $ 100,000,000us-gaap_EquityMethodInvestmentAggregateCost $ 100,000,000us-gaap_EquityMethodInvestmentAggregateCost      
Income (loss) from joint venture investme 19,883,000us-gaap_IncomeLossFromEquityMethodInvestments 35,701,000us-gaap_IncomeLossFromEquityMethodInvestments 73,510,000us-gaap_IncomeLossFromEquityMethodInvestments    
Gulf Re          
Schedule of Equity Method Investments [Line Items]          
Investment in joint venture, at cost       100,000,000us-gaap_EquityMethodInvestmentAggregateCost
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember
 
Joint venture, ownership percentage       50.00%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember
 
Initial capital amount       200,000,000acgl_JointVentureInitialCapitalAmount
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember
 
Income (loss) from joint venture investme 14,100,000us-gaap_IncomeLossFromEquityMethodInvestments
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember
400,000us-gaap_IncomeLossFromEquityMethodInvestments
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember
1,100,000us-gaap_IncomeLossFromEquityMethodInvestments
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember
   
Quota share agreement, percentage 90.00%acgl_QuotaShareAgreementPercentage
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember
       
Gulf Re | Unearned premium reserves          
Schedule of Equity Method Investments [Line Items]          
Portfolio transfer amount         50,000,000acgl_PortfolioTransferAmount
/ us-gaap_FairValueByLiabilityClassAxis
= acgl_UnearnedPremiumReservesMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember
Gulf Re | Reserves for losses and loss expenses          
Schedule of Equity Method Investments [Line Items]          
Portfolio transfer amount         $ 65,000,000acgl_PortfolioTransferAmount
/ us-gaap_FairValueByLiabilityClassAxis
= acgl_ReservesforLossesandLossExpensesMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_GulfReinsuranceLimitedMember