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Transactions with Related Parties (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2006
Related Party Transaction [Line Items]        
Investment commitments $ 968,900,000acgl_InvestmentCommitments      
Purchases of other investments 2,257,481,000us-gaap_PaymentsToAcquireOtherInvestments 1,326,729,000us-gaap_PaymentsToAcquireOtherInvestments 1,000,049,000us-gaap_PaymentsToAcquireOtherInvestments  
Aeolus LP | Investee        
Related Party Transaction [Line Items]        
Initial contribution amount       50,000,000acgl_RelatedPartyInitialContributionAmount
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_InvesteeMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_AeolusLpMember
Ownership percentage 4.00%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_InvesteeMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_AeolusLpMember
     
Dividends received 600,000us-gaap_EquityMethodInvestmentDividendsOrDistributions
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_InvesteeMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_AeolusLpMember
2,100,000us-gaap_EquityMethodInvestmentDividendsOrDistributions
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_InvesteeMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_AeolusLpMember
19,800,000us-gaap_EquityMethodInvestmentDividendsOrDistributions
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_InvesteeMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_AeolusLpMember
 
The Carlyle Group | Common director        
Related Party Transaction [Line Items]        
Investment commitments 395,900,000acgl_InvestmentCommitments
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_DirectorMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_TheCarlyleGroupMember
     
Unfunded commitments 260,200,000us-gaap_FairValueInvestmentsEntitiesThatCalculateNetAssetValuePerShareUnfundedCommittments
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_DirectorMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_TheCarlyleGroupMember
     
Purchases of other investments 51,700,000us-gaap_PaymentsToAcquireOtherInvestments
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_DirectorMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_TheCarlyleGroupMember
60,800,000us-gaap_PaymentsToAcquireOtherInvestments
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_DirectorMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_TheCarlyleGroupMember
43,000,000us-gaap_PaymentsToAcquireOtherInvestments
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_DirectorMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_TheCarlyleGroupMember
 
Aggregate distributions received $ 33,600,000us-gaap_ProceedsFromDividendsReceived
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_DirectorMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_TheCarlyleGroupMember
$ 15,000,000us-gaap_ProceedsFromDividendsReceived
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_DirectorMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_TheCarlyleGroupMember
$ 4,500,000us-gaap_ProceedsFromDividendsReceived
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_DirectorMember
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= acgl_TheCarlyleGroupMember