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Share-Based Compensation - Share-Based Compensation Expense (Details) - USD ($) $ in Millions | 12 Months Ended
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Mar. 31, 2020 | Mar. 31, 2019 | Mar. 31, 2018
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |
Pre-tax effect of share-based compensation | $ 170.2 | $ 166.4 | $ 93.2
Income tax benefit | 36.9 | 35.5 | 28.3
Net income effect of share-based compensation | 133.3 | 130.9 | 64.9
Inventory |  |  |
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |
Capitalized share-based compensation expense | 19.8 | 17.2 | 11.9
Share-based compensation expense previously capitalized | 20.9 | 14.9 | 13.8
Cost of sales |  |  |
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |
Pre-tax effect of share-based compensation | 20.9 | 14.9 | 13.8
Research and development |  |  |
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |
Pre-tax effect of share-based compensation | 82.9 | 72.0 | 42.5
Selling, general and administrative |  |  |
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |
Pre-tax effect of share-based compensation | 66.4 | 62.3 | 36.9
Special charges and other, net |  |  |
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |
Pre-tax effect of share-based compensation | $ 0.0 | $ 17.2 | $ 0.0

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