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Share-Based Compensation - Equity Incentive Plans, Stock Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 170.4 $ 210.2 $ 198.3
Income tax benefit 36.4 44.6 42.3
Net income effect of share-based compensation $ 134.0 165.6 156.0
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%    
Measurement period 2 years    
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%    
Measurement period 3 years    
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) 8,728,867    
Amortization expense charged to cost of sales      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation $ 27.2 34.3 26.6
Research and development      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 83.1 97.9 96.8
Selling, general and administrative      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Pre-tax effect of share-based compensation 60.1 78.0 74.9
Inventory      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Capitalized share-based compensation expense 19.7 21.2 16.7
Share-based compensation expense previously capitalized $ 27.2 $ 34.3 $ 26.6