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Senior Notes (Details) (Unsecured debt, USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
May 04, 2004
Dec. 13, 2013
7.35% senior notes due 2034
       
Debt Instrument [Line Items]        
Face amount of issued debt     $ 300.0us-gaap_DebtInstrumentFaceAmount
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= us-gaap_SeniorNotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember
 
Stated interest rate (percentage)     7.35%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorNotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember
 
Estimated fair value of senior notes 462.4us-gaap_LongTermDebtFairValue
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorNotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember
381.0us-gaap_LongTermDebtFairValue
/ us-gaap_DebtInstrumentAxis
= us-gaap_SeniorNotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember
   
5.144% senior notes due 2043
       
Debt Instrument [Line Items]        
Face amount of issued debt       500.0us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= acgl_SeniorNotesDue2043Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember
Stated interest rate (percentage)       5.144%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_DebtInstrumentAxis
= acgl_SeniorNotesDue2043Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember
Estimated fair value of senior notes $ 609.9us-gaap_LongTermDebtFairValue
/ us-gaap_DebtInstrumentAxis
= acgl_SeniorNotesDue2043Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember
$ 514.1us-gaap_LongTermDebtFairValue
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= acgl_SeniorNotesDue2043Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember