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Share-Based Compensation - Equity Incentive Plans, Stock Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
May 29, 2018
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation   $ 198.3 $ 170.2 $ 166.4
Income tax benefit   42.3 36.9 35.5
Net income effect of share-based compensation   156.0 133.3 130.9
Awards assumed       53.9
Total compensation cost not yet recognized $ 121.5 $ 300.1    
2004 Plan        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Shares authorized (in shares)   32,194,859    
Number of shares available for grant (in shares)   6,554,463    
Amortization expense charged to cost of sales        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation   $ 26.6 20.9 14.9
Research and development        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation   96.8 82.9 72.0
Selling, general and administrative        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation   74.9 66.4 62.3
Special (income) charges and other, net        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Pre-tax effect of share-based compensation   0.0 0.0 17.2
Inventory        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Capitalized share-based compensation expense   16.7 19.8 17.2
Share-based compensation expense previously capitalized   $ 26.6 $ 20.9 $ 14.9
Restricted Stock Units | Microsemi Corporation        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Awards assumed 175.4      
Compensation costs recognized $ 53.9