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Share-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement [Abstract]  
Compensation cost related to share based compensation The effect of share-based compensation expense on our consolidated statements of income and comprehensive income by line-item follows:
Year Ended December 31,
(in millions)202020192018
Selling, general and administrative expense$66.3 $49.5 $31.9 
Research and development expense33.7 25.8 26.2 
Total share-based compensation expense$100.0 $75.3 $58.1 
Share-based compensation expense by award-type follows:
Year Ended December 31,
(in millions)202020192018
Stock options$47.5 $36.5 $35.4 
RSUs44.2 30.5 21.9 
PRSUs5.3 5.6 — 
ESPP3.0 2.7 0.8 
Total share-based compensation expense$100.0 $75.3 $58.1 
At December 31, 2020, unrecognized share-based compensation expense by award-type and the weighted-average period over which such expense is expected to be recognized, as applicable, were as follows:
(dollars in millions)Unrecognized ExpenseWeighted-Average Recognition Period
Stock options$86.2 2.3 years
RSUs$99.5 2.3 years
Weighted-average assumptions for stock option grants using black-scholes option-pricing model
The fair value of each stock option granted was estimated on the date of grant using the Black-Scholes option-pricing valuation model with the following weighted-average assumptions:
Year Ended December 31,
202020192018
Risk-free interest rate1.4 %2.4 %2.5 %
Expected volatility of common stock48.5 %54.8 %59.5 %
Dividend yield0.0 %0.0 %0.0 %
Expected option term5.3 years5.4 years4.7 years
Summary and changes in stock options outstanding
A summary of activity related to stock options follows:
(in millions, except weighted average data)Number of
Stock Options
Weighted
Average
Exercise Price
Weighted-Average Remaining Contractual TermAggregate Intrinsic Value
Outstanding at December 31, 20196.1 $52.62 
Granted1.3 $103.44 
Exercised(0.6)$43.90 
Canceled— $— 
Outstanding at December 31, 20206.8 $62.98 6.4 years$235.4 
Exercisable at December 31, 20204.7 $49.80 5.5 years$218.2 
Summary and changes in restricted stock units outstanding
A summary of activity related to RSUs follows:
(in millions, except weighted average data)Number of
RSUs
Weighted-Average Grant Date
Fair Value
Weighted-Average Remaining Contractual TermAggregate Intrinsic Value
Unvested at December 31, 20191.4 $74.77 
Granted0.7 $102.92 
Released(0.5)$67.86 
Canceled(0.1)$84.95 
Unvested at December 31, 20201.5 $89.60 1.3 years$147.5 
A summary of activity related to PRSUs follows:
(in millions, except weighted average data)Number of
PRSUs
Weighted-Average Grant Date
Fair Value
Weighted-Average Remaining Contractual TermAggregate Intrinsic Value
Unvested at December 31, 20190.3 $59.62 
Granted0.2 $102.90 
Released(0.1)$82.04 
Canceled(0.2)$45.67 
Unvested at December 31, 20200.2 $102.90 2.2 years$15.8