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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. 30, 2022
Oct. 31, 2021
Nov. 01, 2020
Oct. 27, 2019
Jul. 31, 2022
Aug. 01, 2021
Aug. 02, 2020
Stock-based Compensation              
Cash received from the exercise of stock options         $ 3 $ 2 $ 23
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value         1 0 2
Share-based Payment Arrangement, Exercise of Option, Tax Benefit         0 0 0
Share-based Payment Arrangement, Expense         59 64 59
Share-based Payment Arrangement, Expense, Tax Benefit         $ 10 $ 12 11
Discontinued Operations, Held-for-sale or Disposed of by Sale [Member]              
Stock-based Compensation              
Share-based Payment Arrangement, Expense             2
Share-based Payment Arrangement, Expense, Tax Benefit             0
EPS CAGR Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Nonvested, Units         297    
Nonvested, Weighted-Average Grant-Date Fair Value         $ 41.50    
Strategic Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
FCF Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Nonvested, Units   0          
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage   167.00%          
Time Lapse Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Share-based Payment Arrangement, Option [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Share-based Compensation Arrangement by Share-based Payment Award, Expiration Period         10 years    
Time Lapse, EPS CAGR Performance, FCF Performance, and EPS Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Remaining unearned compensation on nonvested awards         $ 37    
Weighted-average remaining service period, years         1 year 8 months 12 days    
Nonvested, Units         1,946 1,814  
Nonvested, Weighted-Average Grant-Date Fair Value         $ 43.88 $ 45.63  
Fair value of restricted units and shares vested         $ 50 $ 38 $ 41
Granted, Weighted-Average Grant-Date Fair Value         $ 41.96 $ 48.37 $ 46.82
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         1,543    
TSR Performance Restricted Stock/Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Remaining unearned compensation on nonvested awards         $ 15    
Weighted-average remaining service period, years         1 year 6 months    
Nonvested, Units         1,153 1,222  
Nonvested, Weighted-Average Grant-Date Fair Value         $ 55.63 $ 53.60  
Fair value of restricted units and shares vested         $ 8 $ 11  
Granted, Weighted-Average Grant-Date Fair Value         $ 45.54 $ 54.93 $ 63.06
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage   75.00% 50.00% 0.00%      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period         331    
EPS Performance Restricted Stock Units - Granted Prior to 2022              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period         3 years    
Nonvested, Units     0        
FCF Performance Restricted Stock Units Additional Shares              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period   158          
Minimum [Member] | EPS CAGR Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         0.00%    
Minimum [Member] | Strategic Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         0.00%    
Minimum [Member] | FCF Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         0.00%    
Minimum [Member] | TSR Performance Restricted Stock/Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         0.00%    
Minimum [Member] | EPS Performance Restricted Stock Units - Granted Prior to 2022              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         0.00%    
Maximum [Member] | EPS CAGR Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         200.00%    
Maximum [Member] | Strategic Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         200.00%    
Maximum [Member] | FCF Performance Restricted Stock Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         200.00%    
Maximum [Member] | TSR Performance Restricted Stock/Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         200.00%    
Maximum [Member] | EPS Performance Restricted Stock Units - Granted Prior to 2022              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage         100.00%    
2005 Long Term Incentive Plan [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized         6,000    
2005 Long Term Incentive Plan, Total Shares Authorized, as Amended In 2008 [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized         10,500    
2005 Long Term Incentive Plan, Total Shares Authorized, as Amended in 2010 [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized         17,500    
2015 Long-Term Incentive Plan [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized         13,000    
2005 Long-Term Incentive Plan Rolled into the 2015 Long-Term Incentive Plan              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized         6,000    
Forecast [Member] | TSR Performance Restricted Stock/Units [Member]              
Stock-based Compensation              
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 100.00%