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Stock-Based Compensation Plans (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Sep. 30, 2017
Oct. 01, 2016
Sep. 30, 2017
Oct. 01, 2016
Stock Based compensation expense        
Stock-based compensation effect on income before taxes $ 36,372 $ 29,802 $ 68,408 $ 59,206
Cost of Sales [Member]        
Stock Based compensation expense        
Stock-based compensation effect on income before taxes 2,147 1,930 4,297 4,049
Research and Development [Member]        
Stock Based compensation expense        
Stock-based compensation effect on income before taxes 20,096 16,529 37,562 31,649
Selling, General and Administrative Expenses [Member]        
Stock Based compensation expense        
Stock-based compensation effect on income before taxes $ 14,129 $ 11,343 $ 26,549 $ 23,508