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Stock-Based Compensation (Tables) | 12 Months Ended
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Dec. 31, 2021
Stock-Based Compensation |
Schedule of allocated stock-based compensation | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year Ended December 31,
(in thousands) | ​ | 2021 |  | 2020 |  | 2019
Equity award expense | ​ | $ | 11,336 | ​ | $ | 10,551 | ​ | $ | 8,105
Liability award (benefit) expense (1) | ​ |  | (816) | ​ |  | 1,521 | ​ |  | 2,336
Total stock-based compensation expense | ​ | $ | 10,520 | ​ | $ | 12,072 | ​ | $ | 10,441
(1) | In 2021, includes a reversal of prior period expense of $2.1 million during the fourth quarter as the result of revised estimates of performance achievement of our 2019 and 2020 cash-settled performance-based restricted stock units.
Schedule of valuation assumptions | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year Ended December 31, | ​
​ | ​ | 2021 | ​ | 2020 | ​ | 2019 | ​
Remaining performance period as of grant date (in years) |  | ​ | 2.8 |  | ​ | 2.9 |  | ​ | 2.9 |
Risk-free interest rate used |  | ​ | 0.3 | % | ​ | 1.4 | % | ​ | 2.6 | %
Grant-date fair value | ​ | $ | 14.30 | ​ | $ | 11.33 | ​ | $ | 12.91 | ​
Schedule of restricted stock, restricted stock unit, performance unit, cash settled restricted stock unit and cash settled performance unit activity | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | Weighted
​ | ​ | ​ | ​ | Average
​ | ​ | ​ | ​ | Grant Date
​ | ​ | Shares | ​ | Fair Value
​ |  | (in thousands) |  | Per Share
Non-vested restricted stock, December 31, 2020 |  | 2,446 | ​ | $ | 9.69
Granted (1) |  | 1,288 | ​ |  | 11.20
Vested (2) |  | (1,075) | ​ |  | 9.91
Canceled |  | (81) | ​ |  | 9.85
Non-vested restricted stock, December 31, 2021 (3) |  | 2,578 | ​ |  | 10.35
(1) | The weighted average grant date fair value of shares granted during the years ended December 31, 2021, 2020 and 2019 was $11.20, $9.37 and $10.01, respectively.
(2) | The total fair value of all awards vested during the years ended December 31, 2021, 2020 and 2019 was $9.1 million, $7.1 million and $9.0 million, respectively.
(3) | Non-vested awards as of December 31, 2021 were comprised of 523 cash-settled units and 2,055 stock-settled awards and units.

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- Definition Tabular disclosure of allocation of amount expensed and capitalized for award under share-based payment arrangement to statement of income or comprehensive income and statement of financial position. Includes, but is not limited to, corresponding line item in financial statement. + 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 (h)(1) -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 S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -URI http://asc.fasb.org/extlink&oid=122041274&loc=d3e301413-122809 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5047-113901 + 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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