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Share-Based Payments (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Share-based Compensation Expense included in consolidated statements of income      
Share-based compensation expense $ (138.1) $ (169.4) $ (183.2)
Subtotal 169.7 204.4 207.3
Capitalized share-based compensation costs (9.6) (14.6) (11.0)
Share-based compensation expense included in total costs and expenses 160.1 189.8 196.3
Income tax effect (42.8) (54.0) (55.8)
Research and development      
Share-based Compensation Expense included in consolidated statements of income      
Share-based compensation expense (74.0) (84.5) (88.6)
Selling, general and administrative      
Share-based Compensation Expense included in consolidated statements of income      
Share-based compensation expense (95.7) (121.7) (127.3)
Restructuring charges      
Share-based Compensation Expense included in consolidated statements of income      
Share-based compensation expense 0.0 1.8 8.6
Total share-based compensation expense, net of tax      
Share-based Compensation Expense included in consolidated statements of income      
Share-based compensation expense $ (117.3) $ (135.8) $ (140.5)