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Share-Based Payments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Share-based Compensation Expense included in consolidated statements of income        
Subtotal $ 50.4 $ 43.1 $ 143.6 $ 127.6
Capitalized share-based compensation costs (3.5) (2.5) (9.7) (7.6)
Share-based compensation expense included in total costs and expenses 46.9 40.6 133.9 120.0
Income tax effect (7.7) (10.9) (21.8) (31.8)
Research and development        
Share-based Compensation Expense included in consolidated statements of income        
Share-based compensation expense 21.0 19.5 60.5 55.7
Selling, general and administrative        
Share-based Compensation Expense included in consolidated statements of income        
Share-based compensation expense 29.4 23.6 83.1 71.9
Total share-based compensation expense, net of tax        
Share-based Compensation Expense included in consolidated statements of income        
Share-based compensation expense $ 39.2 $ 29.7 $ 112.1 $ 88.2