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Allowance for Expected Credit Losses - Contractholder receivables (Details) - USD ($) $ in Millions | 3 Months Ended
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Mar. 31, 2023 | Mar. 31, 2022
Credit Loss [Abstract] |  |
Balance at beginning of period | $ 1,731 | $ 1,829
Balance at end of period | 1,750 | 1,810
Allowance for Expected Credit Losses |  |
Balance at beginning of period | 3 | 3
Change for provision of expected credit losses | (1) | 1
Balance at end of period | $ 2 | $ 4

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- Definition Certain insurance policies written by the Company’s insurance operations feature large deductibles, primarily in its construction and national accounts lines of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policyholder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet in contractholder payables and contractholder receivables, respectively. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the Company receives collateral in the form of cash, the Company reflects it in “Collateral held for insured obligations.” + References No definition available. + Details
Name: | acgl_ContractholderDeductiblesReceivable
Namespace Prefix: | acgl_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Amount of allowance for credit loss on contractholder receivables. + References No definition available. + Details
Name: | acgl_ContractholderReceivablesAllowanceForCreditLoss
Namespace Prefix: | acgl_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Amount of expense (reversal of expense) for expected credit loss on contractholder receivables. + References No definition available. + Details
Name: | acgl_ContractholderReceivablesCreditLossExpenseReversal
Namespace Prefix: | acgl_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. + References No definition available. + Details
Name: | us-gaap_ContractWithCustomerAssetAllowanceForCreditLossRollForward
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- References No definition available. + Details
Name: | us-gaap_CreditLossAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration