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Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 01, 2021
Aug. 02, 2020
Jul. 28, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total pre-tax stock-based compensation expense $ 64 $ 59 $ 50
Tax-related benefits $ 12 11 8
Discontinued Operations, Held-for-sale or Disposed of by Sale [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total pre-tax stock-based compensation expense   2 8
Tax-related benefits   $ 0 $ 2