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Share-based Compensation
6 Months Ended
Jun. 30, 2020
Share-based Payment Arrangement, Noncash Expense [Abstract]  
Share-based Compensation Share-based Compensation
During the six months ended June 30, 2020, we granted 0.11 stock options, 0.09 restricted stock units, and 0.04 performance units. The total fair value of awards granted to employees during the six months ended June 30, 2020 was $11.3. In addition, our non-employee directors received stock awards with a total fair value of $0.3. During the six months ended June 30, 2020, participants in our stock option plans exercised options to purchase 0.12 shares of our common stock, while 0.06 stock options were forfeited.
Stock options generally have a four-year graded vesting period. Restricted stock and restricted stock units generally vest ratably over a three-year period. Performance units generally vest at the end of a three-year performance period based on the attainment of certain pre-determined performance condition targets. During the six months ended June 30, 2020, 0.09 restricted stock and restricted stock units vested while 0.02 restricted stock and restricted stock units were forfeited.
Share-based compensation expense was $2.0 and $1.9 for the three months ended June 30, 2020 and 2019, respectively, and $4.9 and $4.3 for the six months ended June 30, 2020 and 2019, respectively. Share-based compensation expense is included in selling, general, and administrative expenses in the unaudited condensed consolidated statements of income and comprehensive income. As of June 30, 2020, total share-based compensation of $12.8 is expected to be recognized over the weighted-average period of approximately 2.2 years.