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Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($)
$ in Millions
12 Months Ended
Jul. 31, 2022
Aug. 01, 2021
Aug. 02, 2020
Share-based Payment Arrangement [Abstract]      
Total pre-tax stock-based compensation expense $ 59 $ 64 $ 59
Tax-related benefits $ 10 $ 12 $ 11