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Stock-based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 12 Months Ended
Oct. 31, 2021
Nov. 01, 2020
Jul. 28, 2019
Aug. 01, 2021
Stock-based Compensation        
Excess Tax Benefit/(Deficiency) from Share-based Compensation, Operating Activities $ 1 $ 1    
Cash received from the exercise of stock options 1 0    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value 0 0    
Share-based Payment Arrangement, Option [Member] | Maximum [Member]        
Stock-based Compensation        
Remaining unearned compensation on nonvested awards $ 1      
Weighted-average remaining service period, years 1 year      
EPS Performance Restricted Stock Units [Member]        
Stock-based Compensation        
Nonvested, Units 318      
Nonvested, Weighted-Average Grant-Date Fair Value $ 41.53      
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 200.00%      
FCF Performance Restricted Stock Units [Member]        
Stock-based Compensation        
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 167.00%      
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 0      
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%      
FCF Performance Restricted Stock Units Additional Shares [Member]        
Stock-based Compensation        
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period 158      
Time Lapse, EPS Performance, And FCF Performance Restricted Stock Units [Member]        
Stock-based Compensation        
Remaining unearned compensation on nonvested awards $ 64      
Weighted-average remaining service period, years 2 years 1 month 6 days      
Nonvested, Units 2,015     1,814
Fair value of restricted units and shares vested $ 48 $ 34    
Granted, Weighted-Average Grant-Date Fair Value $ 41.82 $ 48.43    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period 1,393      
Nonvested, Weighted-Average Grant-Date Fair Value $ 43.93     $ 45.63
TSR Performance Restricted Stock/Units [Member]        
Stock-based Compensation        
Remaining unearned compensation on nonvested awards $ 31      
Weighted-average remaining service period, years 1 year 10 months 24 days      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 75.00% 50.00%    
Nonvested, Units 1,255     1,222
Fair value of restricted units and shares vested $ 8 $ 11    
Granted, Weighted-Average Grant-Date Fair Value $ 45.65 $ 54.93    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period 324      
Nonvested, Weighted-Average Grant-Date Fair Value $ 55.65     $ 53.60