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Shareholders' Equity (Tables)
 12 Months Ended
Dec. 31, 2024
Stockholders' Equity Note [Abstract]  
Roll-forward of changes in issued and outstanding Common Shares
The following table presents a roll-forward of changes in Arch Capital’s issued and outstanding Common Shares:
Year Ended December 31,
202420232022
Common Shares:
Shares issued and outstanding, beginning of year591.9 588.3 583.3 
Shares issued (1)2.5 2.8 3.5 
Restricted shares issued, net of cancellations1.2 0.8 1.5 
Shares issued and outstanding, end of year595.6 591.9 588.3 
Common shares in treasury, end of year(219.2)(218.5)(217.9)
Shares issued and outstanding, end of year376.4 373.4 370.4 
(1)    Includes shares issued from the exercise of stock options and stock appreciation rights, the vesting of restricted share units and shares issued from the employee share purchase plan.
Schedule of share repurchases
The Company’s repurchases under the share repurchase program were as follows:
Year Ended December 31,
202420232022
Aggregate cost of shares repurchased$23.5 $— $585.8 
Shares repurchased0.3 — 12.9 
Average price per share repurchased$89.65 $— $45.44