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Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Apr. 26, 2020
Apr. 28, 2019
Apr. 26, 2020
Apr. 28, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total pre-tax stock-based compensation expense $ 14 $ 12 $ 45 $ 40
Tax-related benefits 3 2 9 7
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 0 2 2 5
Tax-related benefits $ 0 $ 1 $ 0 $ 2