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Income Taxes (Narrative) (Details) - USD ($)
$ in Millions
 12 Months Ended
Oct. 03, 2020
Sep. 28, 2019
Sep. 29, 2018
Income Tax Disclosure [Line Items]      
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount   $ 160  
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions $ 5 $ 21 $ 8
Federal income tax rate 21.00% 21.00% 24.50%
Impact of the Tax Act     $ 35
Impairment and Sale of Non-Protein Businesses     3.10%
Domestic production deduction     $ 46
State Income Taxes $ 83 $ 69 90
Effective Income Tax Rate Reconciliation, Tax Cuts and Jobs Act, Amount     (1,004)
Income (Loss) from Continuing Operations before Income Taxes, Domestic 2,711 2,332 $ 2,700
Tax credit carryforwards 48    
Accumulated undistributed earnings of foreign subsidiaries 318 252  
Unrecognized tax benefits that would impact effective tax rate 118 116  
Unrecognized tax benefits, income tax penalties and interest accrued 51 $ 46  
Expire in Fiscal Years 2021-2034 [Member]      
Income Tax Disclosure [Line Items]      
Tax credit carryforwards 46    
State and Local Jurisdiction [Member]      
Income Tax Disclosure [Line Items]      
Operating loss carryforwards 799    
Foreign Country [Member]      
Income Tax Disclosure [Line Items]      
Operating loss carryforwards 238    
Expire in Fiscal Years 2021-2039 [Member] | State and Local Jurisdiction [Member]      
Income Tax Disclosure [Line Items]      
Operating loss carryforwards 747    
Expire in FIscal Years 2021-2032 [Member] | Foreign Country [Member]      
Income Tax Disclosure [Line Items]      
Operating loss carryforwards $ 104