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Derivative Instruments - Additional Information (Details) - USD ($)
$ in Millions
9 Months Ended
May 01, 2021
Jul. 25, 2020
Derivative [Line Items]    
Right of set-off, reduction in derivative liabilities $ 16 $ 10
Right of set-off, reduction in derivative assets 16 10
Cash collateral, assets 115 173
Net derivative asset $ 8 $ 8
Cash flow hedges    
Derivative [Line Items]    
Derivative average remaining maturity 24 months  
Net investment hedges    
Derivative [Line Items]    
Derivative average remaining maturity 6 months