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Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($)
$ in Millions
3 Months Ended
Oct. 27, 2019
Oct. 28, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Total pre-tax stock-based compensation expense $ 13 $ 13
Tax-related benefits 3 2
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 1 1
Tax-related benefits $ 0 $ 1