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Shareholders' equity | 9 Months Ended
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Sep. 30, 2024
Equity [Abstract] |
Stock-based compensation | Shareholders' equity Stock-based compensation During the nine months ended September 30, 2024, the Company granted 723 stock-settled restricted and performance stock units with an aggregate grant-date fair value of $100,209 and a weighted average expected life of approximately 3.4 years. As of September 30, 2024, the Company had $154,712 in total estimated but unrecognized stock-based compensation expense under the Company's equity compensation and employee stock purchase plans. The Company expects to recognize this expense over a weighted average remaining period of 1.3 years.
Share repurchases | Share repurchases The following table summarizes the Company's common stock repurchases during the three and nine months ended September 30, 2024:
| Three months ended September 30, 2024 |  | Nine months ended September 30, 2024
| Shares repurchased |  | Amount paid(1) |  | Average price paid per share(2) |  | Shares repurchased |  | Amount paid(1) |  | Average price paid per share(2)
Open market repurchases: | 2,734 |  |  | $ | 406,031 |  |  | $ | 147.20 |  |  | 7,508 |  |  | $ | 1,021,979 |  |  | $ | 134.98 |
(1)Includes commissions and the 1% excise tax imposed on certain stock repurchases made after December 31, 2022 by the Inflation Reduction Act of 2022. The excise tax is recorded as part of the cost basis of treasury stock repurchased and, as such, is included in stockholders’ equity. (2)Excludes commissions and the excise tax described above. Subsequent to September 30, 2024 through October 25, 2024, the Company repurchased 622 shares of its common stock for $101,017 at an average price paid of $160.77 per share. The Company did not repurchase any shares during the three and nine months ended September 30, 2023. Effective on December 17, 2021, the Board authorized a repurchase plan of $2,000,000. Effective on September 5, 2024, the Board increased the Company's existing authorization by $2,000,000 in additional repurchasing authority. This authorization allows the Company to make purchases from time to time in the open market or in privately negotiated transactions, including without limitation, through accelerated share repurchase transactions, derivative transactions, tender offers, Rule 10b5-1 plans or any combination of the foregoing, depending upon market conditions and other considerations. As of October 25, 2024, the Company has a total of $2,198,297, excluding excise taxes, available under the current authorization for additional share repurchases. Although this share repurchase authorization does not have an expiration date, the Company remains subject to share repurchase limitations, including under the terms of its senior secured credit facilities.

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