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Stock-Based Compensation - Option Valuation (Details) - Stock options - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Oct. 27, 2019
Oct. 28, 2018
Oct. 29, 2017
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) $ 9.24 $ 7.16 $ 6.41
Intrinsic Value of Exercised Options $ 138,282 $ 187,486 $ 87,543
Weighted-average assumptions used to calculate fair value of each ordinary option award      
Risk-free Interest Rate 2.80% 2.70% 2.40%
Dividend Yield 1.90% 2.10% 2.00%
Stock Price Volatility 19.00% 19.00% 19.00%
Expected Option Life 8 years 8 years 8 years