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STOCK-BASED COMPENSATION
9 Months Ended
Sep. 30, 2022
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, 2022 and 2021 was as follows (in millions):
 Three Months Ended
September 30,
Nine Months Ended
September 30,
 2022202120222021
Cost of sales$5.3 $4.9 $18.4 $16.1 
Selling, general, and administrative expenses18.1 15.9 57.9 50.7 
Research and development expenses6.9 5.8 22.6 18.3 
Total stock-based compensation expense30.3 26.6 98.9 85.1 
Income tax benefit(4.9)(4.7)(15.2)(13.5)
Total stock-based compensation expense, net of tax$25.4 $21.9 $83.7 $71.6 

At September 30, 2022, 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 $220.3 million, which will be amortized on a straight-line basis over each award's requisite service period. The weighted-average remaining requisite service period is 32 months.

During the nine months ended September 30, 2022, the Company granted 1.6 million stock options at a weighted-average
exercise price per share of $105.18, and 0.7 million restricted stock units at a weighted-average grant-date fair value per share of $104.41. During the nine months ended September 30, 2022, the Company also granted 0.1 million market-based restricted stock units at a weighted-average grant-date fair value per share of $124.92 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 granted during the nine months ended September 30, 2022 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 175.0% of the targeted number of shares granted.

Fair Value Disclosures

The weighted-average assumptions used in a Monte Carlo simulation model to determine the fair value of the market-based restricted stock units granted during the nine months ended September 30, 2022 and 2021 included an average risk-free interest rate of 2.9% and 0.4%, respectively, and an expected volatility rate of 33.9% and 34.4%, 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,
 2022202120222021
Risk-free interest rate3.2 %0.9 %3.0 %0.8 %
Expected dividend yieldNoneNoneNoneNone
Expected volatility31.5 %33.5 %31.5 %33.5 %
Expected term (years)4.95.35.05.0
Fair value, per option$32.00 $34.38 $34.77 $28.78 
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,
 2022202120222021
Risk-free interest rate2.5 %0.1 %0.5 %0.1 %
Expected dividend yieldNoneNoneNoneNone
Expected volatility31.1 %33.7 %32.0 %36.6 %
Expected term (years)0.80.70.60.6
Fair value, per share$21.53 $29.85 $28.18 $23.07