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Share-Based Compensation - Share-Based Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 170.2 $ 166.4 $ 93.2
Income tax benefit 36.9 35.5 28.3
Net income effect of share-based compensation 133.3 130.9 64.9
Inventory      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Capitalized share-based compensation expense 19.8 17.2 11.9
Share-based compensation expense previously capitalized 20.9 14.9 13.8
Cost of sales      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 20.9 14.9 13.8
Research and development      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 82.9 72.0 42.5
Selling, general and administrative      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 66.4 62.3 36.9
Special charges and other, net      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 0.0 $ 17.2 $ 0.0