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Computation of Earnings Per Common Share - Narratives (Details) - $ / shares
3 Months Ended
Jul. 28, 2018
Apr. 28, 2018
Oct. 26, 2019
Sep. 15, 2015
Convertible Note Hedge        
Shares used in computing earnings per common share:        
Debt instrument, convertible, conversion price (per share)     $ 96.89 $ 96.89
0.75% Convertible Senior Notes Due 2021        
Shares used in computing earnings per common share:        
Debt, interest rate (in percent)     0.75%  
Debt instrument, convertible, conversion price (per share)       $ 96.89
Class of warrant or right, exercise price of warrants or rights (per warrant)     $ 130.43  
Weighted Average | 0.75% Convertible Senior Notes Due 2021        
Shares used in computing earnings per common share:        
Average share price (usd per share) $ 99.27 $ 110.46