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Stock-Based Compensation and Shareholders' Equity - Stock Option Awards (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
12 Months Ended
Oct. 28, 2017
Oct. 29, 2016
Oct. 31, 2015
Stock Options      
Options granted (in thousands) 1,480 1,814 1,954
Weighted-average exercise price $ 82.99 $ 55.19 $ 57.20
Weighted-average grant-date fair value $ 17.12 $ 12.67 $ 10.38
Assumptions:      
Weighted-average expected volatility 26.40% 34.00% 25.90%
Weighted-average expected term (in years) 5 years 37 days 5 years 37 days 5 years 110 days
Weighted-average risk-free interest rate 2.10% 1.40% 1.60%
Weighted-average expected dividend yield 2.20% 3.00% 2.80%
Market-based Restricted Stock Units      
Units granted (in thousands) $ 59 $ 102 $ 75
Grant-date fair value $ 94.25 $ 58.95 $ 55.67
Historical stock price volatility 26.00% 25.10% 20.00%
Risk-free interest rate 1.60% 1.10% 1.10%
Expected dividend yield 2.20% 3.00% 2.80%