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Derivative Instruments - Effect of Derivative Instruments Not Designated as Hedges on Consolidated Statements of Operations (Details) - Derivatives not designated as hedging instruments: - USD ($)
$ in Millions
3 Months Ended
Oct. 30, 2021
Oct. 24, 2020
Derivative Instruments, Gain (Loss) [Line Items]    
Total gains (losses) $ 5 $ 42
Foreign currency derivatives | Other income (loss), net    
Derivative Instruments, Gain (Loss) [Line Items]    
Total gains (losses) (20) 14
Total return swaps—deferred compensation | Operating expenses and other    
Derivative Instruments, Gain (Loss) [Line Items]    
Total gains (losses) 21 23
Equity derivatives | Other income (loss), net    
Derivative Instruments, Gain (Loss) [Line Items]    
Total gains (losses) $ 4 $ 5