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Share-Based Compensation - Equity Incentive Plans, Stock Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
May 29, 2018
Apr. 04, 2016
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Stock-based compensation expense [Line Items]          
Share based compensation expense     $ 166.4 $ 93.2 $ 128.1
Income tax benefit     35.5 28.3 44.2
Net income effect of share-based compensation     130.9 64.9 83.9
Share-based compensation expense not previously capitalized         4.2
Total compensation cost not yet recognized     $ 253.4    
Nonvested awards, total compensation cost not yet recognized, period for recognition     1 year 10 months 17 days    
Awards assumed     $ 53.9   7.5
Cost of Sales          
Stock-based compensation expense [Line Items]          
Share based compensation expense     14.9 13.8 18.7
Share-based compensation expense previously capitalized         14.5
Research and development          
Stock-based compensation expense [Line Items]          
Share based compensation expense     72.0 42.5 46.8
Selling, general and administrative          
Stock-based compensation expense [Line Items]          
Share based compensation expense     62.3 36.9 62.6
Special (income) charges and other, net          
Stock-based compensation expense [Line Items]          
Share based compensation expense     17.2 0.0 0.0
Inventory          
Stock-based compensation expense [Line Items]          
Capitalized share-based compensation expense     17.2 11.9 $ 11.3
Share-based compensation expense previously capitalized     14.9 $ 13.8  
Restricted Stock Units (RSUs)          
Stock-based compensation expense [Line Items]          
Total compensation cost not yet recognized   $ 88.4      
Compensation costs recognized   7.5      
Restricted Stock Units (RSUs) | Microsemi Corporation          
Stock-based compensation expense [Line Items]          
Share based compensation expense     65.2    
Total compensation cost not yet recognized $ 121.5        
Awards assumed 175.4        
Compensation costs recognized $ 53.9        
Accelerated compensation costs     17.2    
Restricted Stock Units (RSUs) | Atmel Corporation          
Stock-based compensation expense [Line Items]          
Awards assumed   $ 95.9      
Restricted Stock Units (RSUs) | Inventory | Microsemi Corporation          
Stock-based compensation expense [Line Items]          
Income tax benefit     $ 3.5