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Share-Based Compensation - Share-Based Compensation Expense (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2021
Dec. 31, 2020
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation $ 50.9 $ 51.2 $ 163.2 $ 143.3
Income tax benefit 10.8 10.7 34.6 30.5
Net income effect of share-based compensation 40.1 40.5 128.6 112.8
Inventory        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Capitalized share-based compensation expense 5.3 4.5 16.4 11.9
Share-based compensation expense previously capitalized 8.4 6.4 26.3 18.8
Cost of sales        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation 8.4 6.4 26.3 18.8
Research and development        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation 23.4 25.0 76.1 70.0
Selling, general and administrative        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation $ 19.1 $ 19.8 $ 60.8 $ 54.5