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Share-Based Payments (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Share-based Compensation Expense included in consolidated statements of income    
Subtotal $ 50.4 $ 48.1
Capitalized share-based compensation costs (3.4) (2.7)
Share-based compensation expense included in total costs and expenses 47.0 45.4
Income tax effect (7.6) (12.4)
Research and development    
Share-based Compensation Expense included in consolidated statements of income    
Share-based compensation expense (21.9) (18.7)
Selling, general and administrative    
Share-based Compensation Expense included in consolidated statements of income    
Share-based compensation expense (28.5) (29.4)
Total share-based compensation expense, net of tax    
Share-based Compensation Expense included in consolidated statements of income    
Share-based compensation expense $ (39.4) $ (33.0)