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Stock-Based Compensation Plans (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Dec. 30, 2017
Dec. 31, 2016
Dec. 30, 2017
Dec. 31, 2016
Stock Based compensation expense        
Stock-based compensation effect on income before taxes $ 36,801 $ 30,867 $ 105,209 $ 90,073
Cost of Sales [Member]        
Stock Based compensation expense        
Stock-based compensation effect on income before taxes 2,188 1,945 6,486 5,994
Research and Development [Member]        
Stock Based compensation expense        
Stock-based compensation effect on income before taxes 20,217 17,154 57,779 48,803
Selling, General and Administrative Expenses [Member]        
Stock Based compensation expense        
Stock-based compensation effect on income before taxes $ 14,396 $ 11,768 $ 40,944 $ 35,276