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Stock-Based Compensation - Option Valuation (Details) - Stock options - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Oct. 29, 2017
Oct. 30, 2016
Oct. 25, 2015
Weighted-average grant date fair value of stock options granted, and the total intrinsic value of options exercised      
Weighted-average grant date fair value (in dollars per share) $ 6.41 $ 7.82 $ 4.92
Intrinsic value of exercised options $ 87,543 $ 135,593 $ 67,516
Weighted-average assumptions used to calculate fair value of each ordinary option award      
Risk-free interest rate (as a percent) 2.40% 2.10% 2.10%
Dividend yield (as a percent) 2.00% 1.50% 1.90%
Stock price volatility (as a percent) 19.00% 19.00% 19.00%
Expected option life 8 years 8 years 8 years