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Stock-based Compensation (Summary of Stock-based Compensation Expense) (Details) - USD ($)
$ in Millions
3 Months Ended
Nov. 01, 2020
Oct. 27, 2019
Stock-based Compensation    
Total pre-tax stock-based compensation expense $ 16 $ 13
Tax-related benefits $ 3 3
Discontinued Operations, Held-for-sale or Disposed of by Sale [Member]    
Stock-based Compensation    
Total pre-tax stock-based compensation expense   1
Tax-related benefits   $ 0