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Stock-Based Compensation (Tables) | 6 Months Ended
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Jun. 30, 2025
Stock-Based Compensation |
Schedule of stock option activity | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ | ​ | ​ | ​ | ​ | Weighted | ​ | ​ | ​ |
​ |  | ​ | ​ | ​ | ​ | Average | ​ | Aggregate |
​ |  | ​ | ​ | Weighted | ​ | Remaining | ​ | Intrinsic |
​ |  | ​ | ​ | Average | ​ | Contractual | ​ | Value | ​
​ |  | Options |  | Exercise Price |  | Term (in years) |  | (in millions) |
Options outstanding at January 1, 2025 |  | 105,704,191 | ​ | $ | 29.40 |  | 5.53 | ​ | $ | 4,233.2 | ​
Options granted |  | 561,379 | ​ |  | 71.83 | ​ | ​ | ​ | ​ | ​ | ​
Options exercised |  | (2,656,674) | ​ |  | 20.00 | ​ | ​ | ​ | ​ | ​ | ​
Options forfeited |  | (202,884) | ​ |  | 42.60 | ​ | ​ | ​ | ​ | ​ | ​
Options outstanding at March 31, 2025 |  | 103,406,012 | ​ | ​ | 29.85 | ​ | 5.37 | ​ | ​ | 3,702.6 | ​
Options granted |  | 7,893,986 | ​ |  | 86.84 | ​ | ​ | ​ | ​ | ​ | ​
Options exercised |  | (12,792,779) | ​ |  | 22.09 | ​ | ​ | ​ | ​ | ​ | ​
Options forfeited |  | (78,398) | ​ |  | 49.04 | ​ | ​ | ​ | ​ | ​ | ​
Options outstanding at June 30, 2025 |  | 98,428,821 | ​ | $ | 35.41 |  | 5.74 | ​ | $ | 6,234.3 | ​
Vested and non-vested options expected to vest at June 30, 2025 |  | 95,335,043 | ​ | $ | 34.82 |  | 5.66 | ​ | $ | 6,094.3 | ​
Exercisable options at June 30, 2025 |  | 68,354,806 | ​ | $ | 26.25 |  | 4.62 | ​ | $ | 4,956.0 | ​
Summary of status of non-vested options and changes during the year | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ |  | Weighted |
​ | ​ | ​ | ​ | Average | ​
​ | ​ | ​ | ​ | Fair Value at | ​
​ | ​ | Options | ​ | Grant Date |
Non-vested options at January 1, 2025 |  | 35,547,254 | ​ | $ | 10.66 | ​
Options granted |  | 561,379 | ​ |  | 20.90 | ​
Options vested |  | (277,854) | ​ |  | 8.26 | ​
Options forfeited |  | (202,884) | ​ |  | 11.33 | ​
Non-vested options at March 31, 2025 |  | 35,627,895 | ​ | ​ | 10.83 | ​
Options granted |  | 7,893,986 | ​ |  | 24.31 | ​
Options vested |  | (13,374,268) | ​ |  | 8.27 | ​
Options forfeited |  | (73,598) | ​ |  | 14.63 | ​
Non-vested options at June 30, 2025 |  | 30,074,015 | ​ | $ | 15.50 | ​
Summary of activity in the option plans | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Three Months Ended |  | Six Months Ended |
​ | ​ | June 30, | ​ | June 30, | ​
​ | ​ | 2025 | ​ | 2024 | ​ | 2025 | ​ | 2024 | ​
Total intrinsic value of stock options exercised | ​ | $ | 761.4 | ​ | $ | 245.8 | ​ | $ | 901.7 | ​ | $ | 461.6 | ​
Total fair value of stock options vested | ​ |  | 110.6 | ​ |  | 95.6 | ​ |  | 112.9 | ​ |  | 97.9 | ​
Schedule of restricted share activity | Restricted share activity for the three and six months ended June 30, 2025 was as follows: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | Weighted Average | ​
​ | ​ | ​ | ​ | ​ | ​ | Remaining | ​
​ | ​ | Restricted | ​ | Fair Value at | ​ | Amortization | ​
​ |  | Shares |  | Grant Date |  | Term (in years) |
Restricted shares outstanding at January 1, 2025 |  | 21,840 | ​ | $ | 65.96 | ​ | 0.36 | ​
Restricted shares granted |  | — | ​ |  | — | ​ | ​ | ​
Restricted shares outstanding at March 31, 2025 |  | 21,840 | ​ | ​ | 65.96 |  | 0.12 | ​
Shares vested and issued |  | (21,840) | ​ |  | 65.96 | ​ | ​ | ​
Restricted shares granted |  | 16,520 | ​ |  | 86.88 | ​ | ​ | ​
Restricted shares outstanding at June 30, 2025 |  | 16,520 | ​ | $ | 86.88 |  | 0.88 | ​

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