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Derivative Instruments (Effect of Derivative Instruments Not Designated as Hedges on Consolidated Statement of Operations Summary) (Details) - Derivatives not designated as hedging instruments: - USD ($)
$ in Millions
3 Months Ended
Oct. 27, 2018
Oct. 28, 2017
Derivative Instruments, Gain (Loss) [Line Items]    
GAINS (LOSSES) FOR THE PERIOD $ (56) $ 22
Foreign currency derivatives | Other income (loss), net    
Derivative Instruments, Gain (Loss) [Line Items]    
GAINS (LOSSES) FOR THE PERIOD (27) 7
Total return swaps—deferred compensation | Other income (loss), net    
Derivative Instruments, Gain (Loss) [Line Items]    
GAINS (LOSSES) FOR THE PERIOD (4) (2)
Total return swaps—deferred compensation | Operating expenses    
Derivative Instruments, Gain (Loss) [Line Items]    
GAINS (LOSSES) FOR THE PERIOD (24) 15
Total return swaps—deferred compensation | Cost of sales | Product    
Derivative Instruments, Gain (Loss) [Line Items]    
GAINS (LOSSES) FOR THE PERIOD (1) 0
Total return swaps—deferred compensation | Cost of sales | Service    
Derivative Instruments, Gain (Loss) [Line Items]    
GAINS (LOSSES) FOR THE PERIOD (1) 1
Equity derivatives | Other income (loss), net    
Derivative Instruments, Gain (Loss) [Line Items]    
GAINS (LOSSES) FOR THE PERIOD $ 1 $ 1