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Stock-Based Compensation (Tables) | 6 Months Ended
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Jun. 30, 2023
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, 2023 |  | 66,135,037 | ​ | $ | 45.57 |  | 6.03 | ​ | $ | 2,027.2 | ​
Options granted |  | 29,900 | ​ |  | 79.74 | ​ | ​ | ​ | ​ | ​ | ​
Options exercised |  | (2,568,529) | ​ |  | 31.58 | ​ | ​ | ​ | ​ | ​ | ​
Options forfeited |  | (58,420) | ​ |  | 53.54 | ​ | ​ | ​ | ​ | ​ | ​
Options outstanding at March 31, 2023 |  | 63,537,988 | ​ | ​ | 46.14 | ​ | 5.89 | ​ | ​ | 1,911.4 | ​
Options granted |  | 5,909,147 | ​ |  | 75.80 | ​ | ​ | ​ | ​ | ​ | ​
Options exercised |  | (2,678,572) | ​ |  | 37.26 | ​ | ​ | ​ | ​ | ​ | ​
Options forfeited |  | (284,616) | ​ |  | 54.97 | ​ | ​ | ​ | ​ | ​ | ​
Options outstanding at June 30, 2023 |  | 66,483,947 | ​ | $ | 49.10 |  | 6.07 | ​ | $ | 2,384.3 | ​
Vested and non-vested options expected to vest at June 30, 2023 |  | 64,311,102 | ​ | $ | 48.68 |  | 6.00 | ​ | $ | 2,333.2 | ​
Exercisable options at June 30, 2023 |  | 43,722,624 | ​ | $ | 41.85 |  | 4.95 | ​ | $ | 1,884.7 | ​
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, 2023 |  | 26,721,012 | ​ | $ | 11.04 | ​
Options granted |  | 29,900 | ​ |  | 20.87 | ​
Options vested |  | (150,468) | ​ |  | 15.32 | ​
Options forfeited |  | (58,420) | ​ |  | 10.45 | ​
Non-vested options at March 31, 2023 |  | 26,542,024 | ​ | ​ | 11.03 | ​
Options granted |  | 5,909,147 | ​ |  | 21.36 | ​
Options vested |  | (9,421,232) | ​ |  | 9.15 | ​
Options forfeited |  | (268,616) | ​ |  | 11.13 | ​
Non-vested options at June 30, 2023 |  | 22,761,323 | ​ | $ | 14.48 | ​
Summary of activity in the option plans | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Three Months Ended |  | Six Months Ended |
​ | ​ | June 30, | ​ | June 30, | ​
​ | ​ | 2023 | ​ | 2022 | ​ | 2023 | ​ | 2022 | ​
Total intrinsic value of stock options exercised | ​ | $ | 113.9 | ​ | $ | 34.9 | ​ | $ | 239.5 | ​ | $ | 69.2 | ​
Total fair value of stock options vested | ​ |  | 86.3 | ​ |  | 78.1 | ​ |  | 88.6 | ​ |  | 78.8 | ​

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