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Derivative Instruments and Hedging Activities (Derivatives Not Designated as Hedging Instruments) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 25, 2020
Oct. 27, 2019
Oct. 28, 2018
Foreign exchange contracts      
Derivative Instruments, Gain (Loss) [Line Items]      
Amount of Gain or (Loss)  Recognized in Consolidated Statement of Operations $ (4) $ (8) $ (5)
Foreign exchange contracts | General and administrative      
Derivative Instruments, Gain (Loss) [Line Items]      
Amount of Gain or (Loss)  Recognized in Consolidated Statement of Operations 0 (8) (5)
Foreign exchange contracts | Interest and other income, net      
Derivative Instruments, Gain (Loss) [Line Items]      
Amount of Gain or (Loss)  Recognized in Consolidated Statement of Operations (10) 0 0
Total return swap | Interest and other income, net      
Derivative Instruments, Gain (Loss) [Line Items]      
Amount of Gain or (Loss)  Recognized in Consolidated Statement of Operations (1) 0 0
Total return swap | Cost of products sold      
Derivative Instruments, Gain (Loss) [Line Items]      
Amount of Gain or (Loss)  Recognized in Consolidated Statement of Operations 1 0 0
Total return swap | Operating expenses      
Derivative Instruments, Gain (Loss) [Line Items]      
Amount of Gain or (Loss)  Recognized in Consolidated Statement of Operations $ 6 $ 0 $ 0