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Stock-Based Compensation (Tables) | 3 Months Ended
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Mar. 31, 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 | ​
Vested and non-vested options expected to vest at March 31, 2021 |  | 64,076,188 | ​ | $ | 37.47 |  | 6.50 | ​ | $ | 1,826.2 | ​
Exercisable options at March 31, 2021 |  | 30,329,950 | ​ | $ | 31.94 |  | 5.10 | ​ | $ | 1,032.0 | ​
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, 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 | ​
Summary of activity in the option plans | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Three Months Ended |
​ | ​ | March 31, | ​
​ | ​ | 2021 | ​ | 2020 | ​
Total intrinsic value of stock options exercised | ​ | $ | 28.9 | ​ | $ | 45.2 | ​
Total fair value of stock options vested | ​ |  | 0.4 | ​ |  | 0.6 | ​
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 | ​

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- Definition Tabular disclosure of the changes in outstanding nonvested shares. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Disclosure of the number and weighted-average grant date fair value for restricted stock and restricted stock units that were outstanding at the beginning and end of the year, and the number of restricted stock and restricted stock units that were granted, vested, or forfeited during the year. + References No definition available. + Details
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