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Share Transactions	9 Months Ended
Share Transactions	Sep. 30, 2025
Stockholders' Equity Note [Abstract]
Share transactions	Share Repurchases The Board of Directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program, Arch Capital has repurchased 446.1 million common shares for an aggregate purchase price of $7.0 billion. For the nine months ended September 30, 2025, Arch Capital repurchased 12.3 million common shares under the share repurchase program with an aggregate purchase price of approximately $1.1 billion. Arch Capital did not repurchase any shares under the share repurchase program during the nine months ended September 30, 2024. At September 30, 2025, $1.9 billion of share repurchases were available under the program, which may be effected from time to time in open market or privately negotiated transactions. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations. From October 1 through November 5, 2025, the Company repurchased approximately 4.7 million common shares for an aggregate purchase price of $411 million. At November 5, 2025, approximately $1.5 billion of repurchases were available under the Company’s share repurchase program.