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STOCK-BASED COMPENSATION
6 Months Ended
Jun. 30, 2021
Share-based Payment Arrangement [Abstract]  
STOCK-BASED COMPENSATION STOCK-BASED COMPENSATION
Stock-based compensation expense related to awards issued under the Company's incentive compensation plans for the three and six months ended June 30, 2021 and 2020 was as follows (in millions):
 Three Months Ended
June 30,
Six Months Ended
June 30,
 2021202020212020
Cost of sales$5.7 $4.7 $11.2 $9.3 
Selling, general, and administrative expenses18.3 15.3 34.8 29.7 
Research and development expenses6.3 4.8 12.5 9.7 
Total stock-based compensation expense30.3 24.8 58.5 48.7 
Income tax benefit(4.9)(4.1)(8.8)(7.6)
Total stock-based compensation expense, net of tax$25.4 $20.7 $49.7 $41.1 

At June 30, 2021, the total remaining compensation cost related to nonvested stock options, restricted stock units, market-based restricted stock units, and employee stock purchase plan ("ESPP") subscription awards amounted to $200.7 million, which will be amortized on a straight-line basis over the weighted-average remaining requisite service period of 33 months.

During the six months ended June 30, 2021, the Company granted 1.5 million stock options at a weighted-average exercise price of $85.24, and 0.6 million restricted stock units at a weighted-average grant-date fair value of $92.77. During the six months ended June 30, 2021, the Company also granted 0.1 million market-based restricted stock units at a weighted-average grant-date fair value of $120.56 and issued an additional 0.1 million shares of common stock related to a previous year's grant of market-based restricted stock units since the payout percentage achieved at the end of the performance period was in excess of the targeted shares. The market-based restricted stock units vest based on a combination of certain service and market conditions. The actual number of shares issued will be determined based on the Company's total shareholder return relative to a selected industry peer group over a three-year performance period and may range from 0% to 175% of the targeted number of shares granted.
Fair Value Disclosures

The fair value of the market-based restricted stock units was determined using a Monte Carlo simulation model, which uses multiple input variables to determine the probability of satisfying the market condition requirements. The weighted-average assumptions used to determine the fair value of the market-based restricted stock units granted during the six months ended June 30, 2021 and 2020 included a risk-free interest rate of 0.4% and 0.2%, respectively, and an expected volatility rate
of 34.4% and 32.7%, respectively.

The following table includes the weighted-average grant-date fair values of stock options granted during the periods indicated and the related weighted-average assumptions used in the Black-Scholes option pricing model:
 Option Awards
Three Months Ended
June 30,
Six Months Ended
June 30,
 2021202020212020
Average risk-free interest rate0.8 %0.3 %0.8 %0.3 %
Expected dividend yieldNoneNoneNoneNone
Expected volatility33.5 %33.5 %33.5 %33.4 %
Expected term (years)5.05.05.05.0
Fair value, per option$28.60 $21.58 $28.54 $21.61 
The following table includes the weighted-average grant-date fair values for ESPP subscriptions granted during the periods indicated and the related weighted-average assumptions used in the Black-Scholes option pricing model:
 ESPP
Three Months Ended
June 30,
Six Months Ended
June 30,
 2021202020212020
Average risk-free interest rate0.0 %0.1 %0.1 %1.4 %
Expected dividend yieldNoneNoneNoneNone
Expected volatility32.3 %37.5 %36.8 %32.6 %
Expected term (years)0.60.60.60.6
Fair value, per share$26.03 $18.42 $22.65 $16.06