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Share-Based Compensation - Equity Incentive Plans, Stock Compensation Expense (Details) - USD ($) $ in Millions | 12 Months Ended
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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

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