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Stock-based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Nov. 01, 2020
Oct. 27, 2019
Jan. 31, 2021
Jan. 26, 2020
Jul. 28, 2019
Aug. 02, 2020
Stock-based Compensation            
Excess Tax Benefit/(Deficiency) from Share-based Compensation, Operating Activities     $ 1 $ 1    
Cash received from the exercise of stock options     0 4    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value       1    
Share-based Payment Arrangement, Option [Member]            
Stock-based Compensation            
Remaining unearned compensation on nonvested awards     $ 1      
Share-based Payment Arrangement, Option [Member] | Maximum [Member]            
Stock-based Compensation            
Weighted-average remaining service period, years     1 year      
EPS Performance Restricted Stock Units [Member] | Minimum [Member]            
Stock-based Compensation            
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage     0.00%      
EPS Performance Restricted Stock Units [Member] | Maximum [Member]            
Stock-based Compensation            
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage     100.00%      
FCF Performance Restricted Stock Units [Member]            
Stock-based Compensation            
Share Based Compensation Arrangements By Share Based Payment Award Equity Instruments Other than Options Issued in Period         388  
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period     3 years      
Nonvested, Units     243      
Nonvested, Weighted-Average Grant-Date Fair Value     $ 44.10      
FCF Performance Restricted Stock Units [Member] | Minimum [Member]            
Stock-based Compensation            
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage     0.00%      
FCF Performance Restricted Stock Units [Member] | Maximum [Member]            
Stock-based Compensation            
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage     200.00%      
Time Lapse, EPS Performance, And FCF Performance Restricted Stock Units [Member]            
Stock-based Compensation            
Remaining unearned compensation on nonvested awards     $ 49      
Weighted-average remaining service period, years     1 year 9 months 18 days      
Nonvested, Units     1,917     1,866
Nonvested, Weighted-Average Grant-Date Fair Value     $ 45.58     $ 43.18
Fair value of restricted units and shares vested     $ 35 $ 32    
Granted, Weighted-Average Grant-Date Fair Value     $ 48.43 $ 46.81    
TSR Performance Restricted Stock/Units [Member]            
Stock-based Compensation            
Remaining unearned compensation on nonvested awards     $ 35      
Weighted-average remaining service period, years     2 years      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 50.00% 0.00%        
Nonvested, Units     1,266     1,254
Nonvested, Weighted-Average Grant-Date Fair Value     $ 53.67     $ 47.83
Fair value of restricted units and shares vested     $ 11      
Granted, Weighted-Average Grant-Date Fair Value     $ 54.93 $ 63.06