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Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jan. 30, 2022
Jan. 31, 2021
Jan. 30, 2022
Jan. 31, 2021
Share-based Payment Arrangement [Abstract]        
Total pre-tax stock-based compensation expense $ 17 $ 18 $ 31 $ 34
Tax-related benefits $ 3 $ 3 $ 5 $ 6