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Stock-based Compensation and Other Employee Benefit Plans (Tables) | 12 Months Ended
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Dec. 31, 2021
Share-based Payment Arrangement [Abstract] |
Disclosure of Share-based Compensation Arrangements by Share-based Payment Award [Table Text Block] | Stock based compensation expense in the accompanying consolidated financial statements of operations and comprehensive was as follows:
|  | Year ended December 31,
|  | 2021 |  | 2020 |  | 2019
Continuing operations (included in SG&A expenses) |  | $ | 39.6 |  |  | $ | 27.4 |  |  | $ | 34.5 |
Discontinued operations |  | 13.1 |  |  | 4.9 |  |  | 4.8 |
|  | $ | 52.7 |  |  | $ | 32.3 |  |  | $ | 39.3 |
__ In relation with the sales of the Oxford business (see Note 4. Discontinued Operations) the Company accelerated the vesting of certain RSUs awards for Oxford employees upon the completion of the sale. The stock based compensation expense for discontinued operations for the year ended December 31, 2021 included approximately $10.5 million of expense related to the accelerations of these RSUs awards.
Fair Value Measurement Inputs and Valuation Techniques | The fair value of each RSU is based on the grant-date fair market value of the awards. The fair value of the Company's RSUs, other than the TSR components thereof, were determined on the grant date based on the closing market price for the Company's stock. The fair values of the TSR components of the awards were $13.90 and $49.11 per share for the 2021 and 2020 awards, respectively, determined on the grant date using a Monte Carlo simulation model based on the following assumptions:
|  | 2021 Awards |  | 2020 Awards
Expected term (years) |  | 3.0 |  | 3.0
Dividend yield |  | — |  |  | — |
Volatility factor |  | 46.0 | % |  | 38.8 | %
Risk-free interest rate |  | 0.3 | % |  | 0.3 | %
Share-based Payment Arrangement, Restricted Stock Unit, Activity [Table Text Block] | A summary of the status of the Company’s unvested RSUs as of December 31, 2021 and changes during the year then ended are presented below (number of units in millions, except fair value per unit):
|  | Service Conditions |  | Performance/Market and Service Conditions |  | Total |  | Weighted-Average Grant-Date Fair Value Per Unit
Unvested RSUs outstanding at December 31, 2020 |  | 0.6 |  |  | 0.5 |  |  | 1.1 |  |  |  | $ | 63.66 |  |
Granted |  | 0.3 |  |  | 0.2 |  |  | 0.5 |  |  |  | $ | 93.36 |  |
Vested |  | (0.2) |  |  | (0.2) |  |  | (0.4) |  |  |  | $ | 66.26 |  |
Forfeited |  | — |  |  | (0.1) |  |  | (0.1) |  |  |  | $ | 73.58 |  |
Unvested RSUs outstanding at December 31, 2021 |  | 0.7 |  |  | 0.4 |  |  | 1.1 |  |  |  | $ | 76.29 |  |
Unvested and expected to vest RSUs outstanding at December 31, 2021 |  | 0.6 |  |  | 0.5 |  |  | 1.1 |  |  |  | $ | 76.00 |  |
Schedule of Share-based Payment Award, Employee Stock Purchase Plan, Valuation Assumptions | The fair values of the options granted under the ESPP were estimated using the Black-Scholes valuation model at the date of grant based on the following assumptions:
|  | Year Ended December 31,
|  | 2021 |  | 2020 |  | 2019
Expected term (years) |  | 0.5 |  | 0.5 |  | 0.5
Dividend yield |  | — |  |  | — |  |  | — |
Expected volatility |  | 39.2 - 55.2% |  | 32.0 - 63.3% |  | 25.0 - 38.5%
Weighted-average risk-free interest rate |  | 0.1 - 0.1% |  | 0.1 - 1.8% |  | 2.1 - 2.4%
Average Black-Scholes valuation per share |  | $ | 21.70 |  |  | $ | 12.53 |  |  | $ | 17.11 |
Shares issued (millions) |  | 0.2 |  |  | 0.4 |  |  | 0.2 |
Stock-based compensation expense (millions) |  | $ | 4.9 |  |  | $ | 4.0 |  |  | $ | 4.1 |

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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of employee stock purchase plans, including, but not limited to: (a) expected term, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + 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 (f)(2) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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