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Share-Based Compensation - Equity Incentive Plans, Stock Compensation Expense (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2022
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 177.5 $ 170.4 $ 210.2
Income tax benefit 37.5 36.4 44.6
Net income effect of share-based compensation $ 140.0 134.0 165.6
Employee Stock Option      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Exercisable number of option shares (in shares) 196    
Weighted average exercise price per share of exercisable options (in dollars per share) $ 17.19    
2004 Plan      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Shares authorized (in shares) 64,389,717    
Number of shares available for grant (in shares) 6,546,628    
Amortization expense charged to cost of sales      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 25.6 27.2 34.3
Research and development      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 94.3 83.1 97.9
Selling, general and administrative      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 57.6 60.1 78.0
Inventory      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Capitalized share-based compensation expense 19.0 19.7 21.2
Share-based compensation expense previously capitalized $ 25.6 $ 27.2 $ 34.3