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Share-Based Payments (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Jun. 30, 2018
Jun. 30, 2017
Share-based Compensation Expense included in consolidated statements of income        
Subtotal $ 42.8 $ 36.4 $ 93.2 $ 84.5
Capitalized share-based compensation costs (2.8) (2.4) (6.2) (5.1)
Share-based compensation expense included in total costs and expenses 40.0 34.0 87.0 79.4
Income tax effect (6.5) (8.5) (14.1) (20.9)
Research and development        
Share-based Compensation Expense included in consolidated statements of income        
Share-based compensation expense (17.6) (17.5) (39.5) (36.2)
Selling, general and administrative        
Share-based Compensation Expense included in consolidated statements of income        
Share-based compensation expense (25.2) (18.9) (53.7) (48.3)
Total share-based compensation expense, net of tax        
Share-based Compensation Expense included in consolidated statements of income        
Share-based compensation expense $ (33.5) $ (25.5) $ (72.9) $ (58.5)