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Share-Based Compensation - Share-Based Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense before income taxes $ 398.7 $ 337.9 $ 262.6
Income tax effect 81.4 70.2 54.3
Share-based compensation expense after income taxes 317.3 267.7 208.3
Total cost of sales      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense before income taxes 82.9 67.0 53.2
Total cost of sales | Cost of sales—products      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense before income taxes 58.9 46.6 36.4
Total cost of sales | Cost of sales—services      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense before income taxes 24.0 20.4 16.8
Selling, general and administrative      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense before income taxes 202.2 169.5 133.2
Research and development      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Share-based compensation expense before income taxes $ 113.6 $ 101.4 $ 76.2