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Derivative Instruments and Hedging Activities (Derivatives in Cash Flow Hedging Relationships) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 25, 2015
Oct. 26, 2014
Oct. 27, 2013
Derivative Instruments, Gain (Loss) [Line Items]      
Gain or (Loss) Recognized in AOCI $ (14) $ 7 $ 29
Gain or (Loss) Reclassified from AOCI into Income 9 9 28
Gain or (Loss) Recognized in Income (6) (4) (4)
Foreign exchange contracts | Cost of products sold      
Derivative Instruments, Gain (Loss) [Line Items]      
Gain or (Loss) Recognized in AOCI 6 7 29
Gain or (Loss) Reclassified from AOCI into Income 15 8 21
Gain or (Loss) Recognized in Income (4) (2) (3)
Foreign exchange contracts | General and administrative      
Derivative Instruments, Gain (Loss) [Line Items]      
Gain or (Loss) Recognized in AOCI 0 0 0
Gain or (Loss) Reclassified from AOCI into Income (6) 1 7
Gain or (Loss) Recognized in Income (2) $ (2) $ (1)
Interest Rate Swap | Interest Expense      
Derivative Instruments, Gain (Loss) [Line Items]      
Gain or (Loss) Recognized in AOCI (20)    
Gain or (Loss) Reclassified from AOCI into Income 0    
Gain or (Loss) Recognized in Income $ 0