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Investment Information - Restricted assets (Details) - USD ($) $ in Millions		Sep. 30, 2025	Dec. 31, 2024
Restricted Assets [Line Items]
Restricted assets		$ 14,439	$ 13,048
Collateral or guarantees - affiliated transactions
Restricted Assets [Line Items]
Restricted assets		5,292	4,730
Collateral or guarantees - third party agreements
Restricted Assets [Line Items]
Restricted assets		6,636	5,999
Deposits with US regulatory authorities
Restricted Assets [Line Items]
Restricted assets		952	882
Other
Restricted Assets [Line Items]
Restricted assets	[1]	$ 1,559	$ 1,437
[1] Primarily includes Funds at Lloyds, deposits with non-U.S. regulatory authorities and other restricted assets

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- Definition

Assets, consisting primarily of fixed maturities, that the Company is required to maintain with various regulatory authorities to support its insurance and reinsurance operations. The Company's insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties.

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No definition available.

+ Details

Name:	acgl_RestrictedAssets
Namespace Prefix:	acgl_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

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- Definition

-- None. No documentation exists for this element. --

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No definition available.

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

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- Details

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Namespace Prefix:
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Balance Type:
Period Type:

X

- Details

Name:	acgl_RestrictedAssetsRestrictionTypeAxis=acgl_CollateralOrGuaranteesThirdPartyAgreementsMember
Namespace Prefix:
Data Type:	na
Balance Type:
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X

- Details

Name:	acgl_RestrictedAssetsRestrictionTypeAxis=acgl_DepositsWithUsRegulatoryAuthoritiesMember
Namespace Prefix:
Data Type:	na
Balance Type:
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X

- Details

Name:	acgl_RestrictedAssetsRestrictionTypeAxis=acgl_OtherRestrictedAssetsMember
Namespace Prefix:
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Balance Type:
Period Type: