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Stock-based Compensation Summary of Stock-based Compensation Expense (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Apr. 29, 2018
Apr. 30, 2017
Apr. 29, 2018
Apr. 30, 2017
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]        
Total pre-tax stock-based compensation expense $ 16 $ 16 $ 48 $ 48
Tax-related benefits $ 3 $ 6 $ 10 $ 18