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Stock-Based Compensation and Shareholders' Equity - Stock Options Activity (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
12 Months Ended
Oct. 28, 2017
Oct. 29, 2016
Oct. 31, 2015
Options Outstanding (in shares)      
Options outstanding at October 29, 2016 (in shares) 11,704    
Options granted (in shares) 1,480 1,814 1,954
Options exercised (in shares) (3,470)    
Options forfeited (in shares) (360)    
Options expired (in shares) (7)    
Options outstanding at October 28, 2017 (in shares) 9,347 11,704  
Options exercisable at October 28, 2017 (in shares) 4,907    
Options vested or expected to vest at October 28, 2017 (in shares) 9,011    
Weighted-Average Exercise Price Per Share (USD per share)      
Options outstanding at October 29, 2016 (USD per share) $ 44.43    
Options granted (USD per share) 82.99    
Options exercised (USD per share) 38.60    
Options forfeited (USD per share) 55.56    
Options expired (USD per share) 34.09    
Options outstanding at October 28, 2017 (USD per share) 52.27 $ 44.43  
Options exercisable at October 28, 2017 (USD per share) 42.09    
Options vested or expected to vest at October 28, 2017 (USD per share) $ 51.69    
Options outstanding, weighted-average remaining contractual term in years 6 years 73 days    
Options exercisable, weighted-average remaining contractual term in years 4 years 255 days    
Options vested or expected to vest, weighted-average remaining contractual term in years 6 years 73 days    
Options outstanding, aggregate intrinsic value $ 363,972    
Options exercisable, aggregate intrinsic value 240,991    
Options vested or expected to vest, aggregate intrinsic value $ 356,098