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

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