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Investment Information - Other Than Temporary Impairments Recognized in Earnings (Details) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings $ (3,837)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (8,593)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (14,749)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (2,971)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (88)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (728)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (724)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (2,246)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (30,150)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (3,786)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet $ (11,388)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
Fixed Maturities                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 (3,634)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(511)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(4,612)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | Mortgage backed securities                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 (1,525)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(295)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(2,491)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_ResidentialMortgageBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | Corporate bonds                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 (2,062)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_CorporateDebtSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(88)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_CorporateDebtSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(1,512)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_CorporateDebtSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | Non-US government securities                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= acgl_NonUsGovernmentSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= acgl_NonUsGovernmentSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(261)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= acgl_NonUsGovernmentSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | Commercial mortgage backed securities                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 (7)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(211)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_CommercialMortgageBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | Asset backed securities                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 (40)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(128)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(127)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Fixed Maturities | US government and government agencies                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_USTreasuryAndGovernmentMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_USTreasuryAndGovernmentMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
(10)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_DebtSecurityAxis
= us-gaap_USTreasuryAndGovernmentMember
/ us-gaap_InvestmentTypeAxis
= us-gaap_FixedMaturitiesMember
Other investments                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 (25,410)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_OtherInvestmentsMember
Investment of funds received under securities lending arrangements                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= acgl_InvestmentOfFundsReceivedUnderSecuritiesLendingArrangementsMember
0us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= acgl_InvestmentOfFundsReceivedUnderSecuritiesLendingArrangementsMember
(87)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= acgl_InvestmentOfFundsReceivedUnderSecuritiesLendingArrangementsMember
Equity securities                      
Other than Temporary Impairment, Credit Losses Recognized in Earnings [Line Items]                      
Net impairment losses recognized in earnings                 $ (1,106)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquitySecuritiesMember
$ (3,275)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquitySecuritiesMember
$ (6,689)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
/ us-gaap_InvestmentTypeAxis
= us-gaap_EquitySecuritiesMember