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Income Taxes - Income before taxes by jurisdiction (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Income Tax Disclosure [Line Items]      
Income (loss) before income taxes $ 844,247us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest $ 742,505us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest $ 589,387us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
Bermuda      
Income Tax Disclosure [Line Items]      
Income (loss) before income taxes 794,926us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
717,661us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
609,710us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= us-gaap_DomesticCountryMember
United States      
Income Tax Disclosure [Line Items]      
Income (loss) before income taxes 53,055us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= country_US
87,032us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= country_US
9,600us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= country_US
Other      
Income Tax Disclosure [Line Items]      
Income (loss) before income taxes $ (3,734)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= acgl_OtherCountryMember
$ (62,188)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= acgl_OtherCountryMember
$ (29,923)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
/ us-gaap_IncomeTaxAuthorityAxis
= acgl_OtherCountryMember