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Pension and Other Postretirement Benefit Plans (Narrative) (Details)
$ in Millions
 12 Months Ended
Sep. 30, 2023
USD ($)
plan
Oct. 01, 2022
USD ($)
Oct. 02, 2021
USD ($)
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Contribution Plan, Cost $ 113 $ 114 $ 106
Pension Plan [Member]      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 4    
Multiemployer Plan, Employer Contribution, Cost $ 2 2  
Defined Benefit Plan, Expected Future Employer Contributions, Next Fiscal Year 15    
Defined Benefit Plan, Plan Assets, Contributions by Employer $ 13 13 15
Defined Benefit Plans with Accumulated Benefit Obligations in Excess of Plan Assets, Number of Plans | plan 3    
Pension Plan [Member] | Defined Benefit Plan, Funded Plan | Qualified Plan      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Frozen and Noncontributory Plans | plan 1    
Defined Benefit Plan, Plan Assets, Contributions by Employer $ 0 1  
Defined Benefit Plan, Benefit Obligation 18 17 28
Defined Benefit Plan, Expected Amortization, Next Fiscal Year 0    
Defined Benefit Plan, Accumulated Benefit Obligation 18 17  
Assets for Plan Benefits, Defined Benefit Plan 9 7  
Defined Benefit Plan, Plan Assets, Amount $ 27 24 33
Pension Plan [Member] | Defined Benefit Plan, Unfunded Plan | Nonqualified Plan      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 3    
Defined Benefit Plan, Plan Assets, Contributions by Employer $ 13 13  
Defined Benefit Plan, Benefit Obligation 158 166 220
Assets for Plan Benefits, Defined Benefit Plan 0 0  
Defined Benefit Plan, Plan Assets, Amount $ 0 0 0
Other Postretirement Benefits Plan [Member]      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 8    
Defined Benefit Plan, Plan Assets, Contributions by Employer $ 3 4  
Defined Benefit Plan, Benefit Obligation 50 55 65
Defined Benefit Plan, Gain from Plan Amendment     34
Assets for Plan Benefits, Defined Benefit Plan 0 0  
Defined Benefit Plan, Plan Assets, Amount $ 0 $ 0 $ 0
Other Postretirement Benefits Plan [Member] | Other Postretirement Benefit Plans, Fixed Annual Payments or Life Insurance      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 2    
Defined Benefit Plan, Benefit Obligation $ 9    
Postretirement Health Coverage      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 5    
Postretirement Health Coverage | Other Postretirement Benefit Plans, Fixed Annual Payments or Life Insurance      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 1    
Postretirement Health Coverage | Other Postretirement Benefit Plan, Hillshire and Keystone Plans      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 2    
Postretirement Health Coverage | Other Postretirement Benefit Plan, Heathcare Cost Trend Rates, Hillshire Plan      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Benefit Obligation $ 1    
Defined Benefit Plan, Health Care Cost Trend Rate Assumed, Next Fiscal Year 7.10%    
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate 4.50%    
Postretirement Health Coverage | Other Postretirement Benefit Plan, Heathcare Cost Trend Rates, Keystone Plan      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Benefit Obligation $ 3    
Defined Benefit Plan, Health Care Cost Trend Rate Assumed, Next Fiscal Year 7.00%    
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate 4.50%    
Postretirement Health Coverage | Other Postretirement Benefit Plan, Plan Amendments      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 1    
Postretirement Health Coverage | Other Postretirement Benefit Plan, Plan Amendments | Maximum      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Benefit Obligation $ 1    
Postretirement Life Insurance | Other Postretirement Benefit Plans, Fixed Annual Payments or Life Insurance      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Defined Benefit Plan, Number of Plans | plan 1