Share-Based Compensation - Share-Based Compensation Expense (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Share-based compensation expense before income taxes	$ 337.9	$ 262.6	$ 209.9
Income tax effect	70.2	54.3	49.2
Share-based compensation expense after income taxes	267.7	208.3	160.7
Total cost of sales
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Share-based compensation expense before income taxes	67.0	53.2	42.1
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	46.6	36.4	28.1
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	20.4	16.8	14.0
Selling, general and administrative
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Share-based compensation expense before income taxes	169.5	133.2	111.8
Research and development
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Share-based compensation expense before income taxes	$ 101.4	$ 76.2	$ 56.0