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Share-Based Compensation - Equity Incentive Plans, Stock Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 210.2 $ 198.3 $ 170.2
Income tax benefit 44.6 42.3 36.9
Net income effect of share-based compensation $ 165.6 156.0 133.3
Performance Shares      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Measurement period 3 years    
Minimum | Market-based Performance Shares      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Shares expected to received at vesting, percent 0.00%    
Measurement period 2 years    
Minimum | Performance Shares      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Shares expected to received at vesting, percent 0.00%    
Maximum | Market-based Performance Shares      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Shares expected to received at vesting, percent 200.00%    
Measurement period 3 years    
Maximum | Performance Shares      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Shares expected to received at vesting, percent 200.00%    
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) 11,091,259    
Amortization expense charged to cost of sales      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 34.3 26.6 20.9
Research and development      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 97.9 96.8 82.9
Selling, general and administrative      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 78.0 74.9 66.4
Inventory      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Capitalized share-based compensation expense 21.2 16.7 19.8
Share-based compensation expense previously capitalized $ 34.3 $ 26.6 $ 20.9