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Share-Based Compensation - Share-Based Compensation Expense (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation $ 51.2 $ 43.5 $ 143.3 $ 129.5
Income tax benefit 10.7 9.2 30.5 28.2
Net income effect of share-based compensation 40.5 34.3 112.8 101.3
Inventory        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Capitalized share-based compensation expense 4.5 5.1 11.9 15.4
Share-based compensation expense previously capitalized 6.4 5.7 18.8 15.8
Cost of sales        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation 6.4 5.7 18.8 15.8
Research and development        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation 25.0 21.2 70.0 63.0
Selling, general and administrative        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation $ 19.8 $ 16.6 $ 54.5 $ 50.7