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Equity Incentive Plans, Stock Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Apr. 04, 2016
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Stock-based compensation expense [Line Items]        
Share based compensation expense   $ 93.2 $ 128.1 $ 71.4
Income tax benefit   28.3 44.2 23.0
Net income effect of share-based compensation   64.9 83.9 48.4
Share-based compensation expense previously capitalized   13.8   8.3
Total compensation cost not yet recognized   $ 169.6    
Nonvested awards, total compensation cost not yet recognized, period for recognition   1 year 10 months 28 days    
Inventory        
Stock-based compensation expense [Line Items]        
Income tax benefit   $ 11.9 11.3 7.9
Share-based compensation expense previously capitalized     14.5  
Cost of Sales        
Stock-based compensation expense [Line Items]        
Share based compensation expense   13.8 18.7 8.3
Research and Development Expense        
Stock-based compensation expense [Line Items]        
Share based compensation expense   42.5 46.8 32.0
Selling General And Administrative        
Stock-based compensation expense [Line Items]        
Share based compensation expense   36.9 62.6 $ 31.1
Atmel Corporation        
Stock-based compensation expense [Line Items]        
Share-based compensation expense previously capitalized     4.2  
Total compensation cost not yet recognized $ 88.4      
Business combination fair value of assumed awards at acquisition date 95.9      
Consideration transferred, share based payment awards $ 7.5      
Accounting Standards Update 2016-09, Excess Tax Benefit Component | New Accounting Pronouncement, Early Adoption, Effect        
Stock-based compensation expense [Line Items]        
Share based compensation expense   $ 28.1 $ 25.0