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Stock-Based Compensation (Tables) | 6 Months Ended
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Jun. 30, 2021
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, 2021 |  | 67,985,648 | ​ | $ | 37.58 |  | 6.79 | ​ | $ | 1,890.4 | ​
Options granted |  | 215,080 | ​ |  | 64.69 | ​ | ​ | ​ | ​ | ​ | ​
Options exercised |  | (757,598) | ​ |  | 28.12 | ​ | ​ | ​ | ​ | ​ | ​
Options forfeited |  | (31,160) | ​ |  | 42.37 | ​ | ​ | ​ | ​ | ​ | ​
Options outstanding at March 31, 2021 |  | 67,411,970 | ​ | ​ | 37.77 | ​ | 6.57 | ​ | ​ | 1,901.0 | ​
Options granted |  | 7,215,100 | ​ |  | 66.62 | ​ | ​ | ​ | ​ | ​ | ​
Options exercised |  | (2,882,332) | ​ |  | 29.14 | ​ | ​ | ​ | ​ | ​ | ​
Options forfeited |  | (46,600) | ​ |  | 49.05 | ​ | ​ | ​ | ​ | ​ | ​
Options outstanding at June 30, 2021 |  | 71,698,138 | ​ | $ | 41.01 |  | 6.77 | ​ | $ | 1,964.3 | ​
Vested and non-vested options expected to vest at June 30, 2021 |  | 68,155,502 | ​ | $ | 40.59 |  | 6.69 | ​ | $ | 1,896.0 | ​
Exercisable options at June 30, 2021 |  | 39,792,918 | ​ | $ | 34.52 |  | 5.52 | ​ | $ | 1,348.6 | ​
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, 2021 |  | 36,989,300 | ​ | $ | 6.43 | ​
Options granted |  | 215,080 | ​ |  | 12.11 | ​
Options vested |  | (91,200) | ​ |  | 3.88 | ​
Options forfeited |  | (31,160) | ​ |  | 5.77 | ​
Non-vested options at March 31, 2021 |  | 37,082,020 | ​ | ​ | 6.46 | ​
Options granted |  | 7,215,100 | ​ |  | 13.29 | ​
Options vested |  | (12,345,300) | ​ |  | 5.70 | ​
Options forfeited |  | (46,600) | ​ |  | 7.97 | ​
Non-vested options at June 30, 2021 |  | 31,905,220 | ​ | $ | 8.30 | ​
Summary of activity in the option plans | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Three Months Ended |  | Six Months Ended |
​ | ​ | June 30, | ​ | June 30, | ​
​ | ​ | 2021 | ​ | 2020 | ​ | 2021 | ​ | 2020 | ​
Total intrinsic value of stock options exercised | ​ | $ | 109.6 | ​ | $ | 125.2 | ​ | $ | 138.5 | ​ | $ | 170.3 | ​
Total fair value of stock options vested | ​ |  | 70.4 | ​ |  | 60.8 | ​ |  | 70.8 | ​ |  | 61.4 | ​
Schedule of restricted share activity | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | Weighted Average | ​
​ | ​ | ​ | ​ | ​ | ​ | Remaining | ​
​ | ​ | Restricted | ​ | Fair Value at | ​ | Amortization | ​
​ |  | Shares |  | Grant Date |  | Term (in years) |
Restricted shares outstanding at January 1, 2021 |  | 26,350 | ​ | $ | 45.55 | ​ | 0.38 | ​
Restricted shares granted |  | — | ​ |  | — | ​ | ​ | ​
Restricted shares outstanding at March 31, 2021 |  | 26,350 | ​ | ​ | 45.55 |  | 0.13 | ​
Shares vested and issued |  | (27,272) | ​ |  | 45.80 | ​ | ​ | ​
Restricted shares granted |  | 20,146 | ​ |  | 65.96 | ​ | ​ | ​
Restricted shares outstanding at June 30, 2021 |  | 19,224 | ​ | $ | 66.59 |  | 0.88 | ​

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