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STOCK-BASED COMPENSATION
9 Months Ended
Sep. 30, 2023
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, 2023 and 2022 was as follows (in millions):
 Three Months Ended
September 30,
Nine Months Ended
September 30,
 2023202220232022
Cost of sales$5.5 $5.3 $18.7 $18.4 
Selling, general, and administrative expenses19.1 18.1 63.9 57.9 
Research and development expenses8.0 6.9 26.3 22.6 
Total stock-based compensation expense32.6 30.3 108.9 98.9 
Income tax benefit(5.8)(4.9)(17.3)(15.2)
Total stock-based compensation expense, net of tax$26.8 $25.4 $91.6 $83.7 

At September 30, 2023, 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 $254.5 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 33 months.

During the nine months ended September 30, 2023, the Company granted 2.0 million stock options at a weighted-average
exercise price per share of $88.45, and 1.0 million restricted stock units at a weighted-average grant-date fair value per share of $87.36. During the nine months ended September 30, 2023, the Company also granted 0.1 million market-based restricted stock units at a weighted-average grant-date fair value per share of $110.10. The market-based restricted stock units granted during the nine months ended September 30, 2023 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 target number of shares granted.

Fair Value Disclosures

The fair value of 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, 2023 and 2022 included a risk-free interest rate of 3.6% and 2.9%, respectively, and an expected volatility rate of 32.6% and 33.9%, 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,
 2023202220232022
Risk-free interest rate4.3 %3.2 %3.4 %3.0 %
Expected dividend yieldNoneNoneNoneNone
Expected volatility32.7 %31.5 %32.8 %31.5 %
Expected term (years)5.24.95.15.0
Fair value, per option$31.16 $32.00 $31.02 $34.77 
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,
 2023202220232022
Risk-free interest rate5.3 %2.5 %4.6 %0.5 %
Expected dividend yieldNoneNoneNoneNone
Expected volatility34.8 %31.1 %31.5 %32.0 %
Expected term (years)0.60.80.60.6
Fair value, per share$18.53 $21.53 $19.03 $28.18