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Commitments and Contingencies - Other commitments (Details) - USD ($) $ in Millions | Dec. 31, 2025 | Dec. 31, 2024
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Commitments and Contingencies Disclosure [Abstract] |  |
Investment commitments | $ 3,700 | $ 4,400
Estimated purchase commitments, primarily related to software and computerized systems | $ 307 | $ 260

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- Definition Investment commitments primarily related to agreements entered into by the Company to invest in funds and separately managed accounts when called upon. + References No definition available. + Details
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Namespace Prefix: | acgl_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- References No definition available. + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | na
Period Type: | duration

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- Definition Minimum amount to be expended to satisfy the terms of arrangements in which the entity has agreed to expend funds to procure goods or services, excluding long-term purchase commitments or unconditional purchase obligations. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 942 -SubTopic 210 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03(17)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147478546/942-210-S99-1 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(25)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1 + Details
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