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Shareholders' equity | 6 Months Ended
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Jun. 30, 2022
Equity [Abstract] |
Long-term incentive compensation | Shareholders' equity Stock-based compensation During the six months ended June 30, 2022, the Company granted 993 restricted and performance stock units with an aggregate grant-date fair value of $110,414 and a weighted-average expected life of approximately 3.5 years and 130 stock-settled stock appreciation rights with an aggregate grant-date fair value of $4,573 and a weighted-average expected life of approximately 4.5 years. As of June 30, 2022, the Company had $191,666 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 1.4 years.
Share repurchases | Share repurchases The following table summarizes the Company's common stock repurchases during the three and six months ended June 30, 2022 and 2021:
| Three months ended June 30, |  | Six months ended June 30,
| 2022 |  | 2021 |  |  | 2022 |  | 2021 |
Open market repurchases: |  |  |  |  |  |  |  |  |
Shares repurchased | 3,869 |  |  | 2,070 |  |  |  | 5,973 |  |  | 5,019 |  |
Amount paid | $ | 369,740 |  |  | $ | 240,897 |  |  |  | $ | 603,058 |  |  | $ | 563,230 |  |
Average paid per share | $ | 95.56 |  |  | $ | 116.38 |  |  |  | $ | 100.96 |  |  | $ | 112.21 |  |
The Company repurchased 901 shares of its common stock for $74,761 at an average cost of $82.94 per share subsequent to June 30, 2022 through July 29, 2022. The Company is authorized 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 July 29, 2022, the Company had a total of $1,706,120 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 current senior secured credit facilities.

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