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STOCK-BASED COMPENSATION
9 Months Ended
Sep. 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 nine months ended September 30, 2021 and 2020 was as follows (in millions):
 Three Months Ended
September 30,
Nine Months Ended
September 30,
 2021202020212020
Cost of sales$4.9 $4.3 $16.1 $13.6 
Selling, general, and administrative expenses15.9 13.8 50.7 43.5 
Research and development expenses5.8 4.9 18.3 14.6 
Total stock-based compensation expense26.6 23.0 85.1 71.7 
Income tax benefit(4.7)(3.9)(13.5)(11.5)
Total stock-based compensation expense, net of tax$21.9 $19.1 $71.6 $60.2 

At September 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 $184.4 million, which will be amortized on a straight-line basis over the weighted-average remaining requisite service period of 32 months.

During the nine months ended September 30, 2021, the Company granted 1.6 million stock options at a weighted-average exercise price of $93.74, and 0.6 million restricted stock units at a weighted-average grant-date fair value of $94.85. During the nine months ended September 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 nine months ended September 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
September 30,
Nine Months Ended
September 30,
 2021202020212020
Average risk-free interest rate0.9 %0.3 %0.8 %0.3 %
Expected dividend yieldNoneNoneNoneNone
Expected volatility33.5 %33.4 %33.5 %34.2 %
Expected term (years)5.35.25.05.1
Fair value, per option$34.38 $22.24 $28.78 $22.19 
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
September 30,
Nine Months Ended
September 30,
 2021202020212020
Average risk-free interest rate0.1 %0.1 %0.1 %1.3 %
Expected dividend yieldNoneNoneNoneNone
Expected volatility33.7 %37.5 %36.6 %33.1 %
Expected term (years)0.70.70.60.6
Fair value, per share$29.85 $21.79 $23.07 $16.61