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Share-Based Compensation - Equity Incentive Plans, Stock Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2023
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 180.4 $ 177.5 $ 170.4
Income tax benefit 37.9 37.5 36.4
Net income effect of share-based compensation 142.5 140.0 134.0
Capitalized share-based compensation expense 17.4 19.0 19.7
Share-based compensation expense previously capitalized $ 21.8 25.6 27.2
2004 Plan      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Shares authorized (in shares) 72,389,717    
Number of shares available for grant (in shares) 10,843,385    
Amortization expense charged to cost of sales      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 21.8 25.6 27.2
Research and development      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 104.6 94.3 83.1
Selling, general and administrative      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 54.0 $ 57.6 $ 60.1