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Acquisitions and Dispositions (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Nov. 01, 2022
Jul. 06, 2021
Feb. 07, 2020
Jan. 15, 2020
Oct. 01, 2022
Jan. 01, 2022
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Business Combination and Asset Acquisition [Abstract]                  
Payments to Acquire Equity Method Investments             $ 177 $ 44 $ 183
Business Acquisition [Line Items]                  
Payments to Acquire Equity Method Investments             $ 177 44 $ 183
Pet Treats Business                  
Business Acquisition [Line Items]                  
Disposal Group, Including Discontinued Operation, Consideration   $ 1,200              
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal   784              
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal, Net of Tax   510              
Disposal Group, Including Discontinued Operations, Net Carrying Value   411              
Disposal Group, Including Discontinued Operations, Working Capital   44              
Disposal Group, Including Discontinued Operation, Property, Plant and Equipment   17              
Disposal Group, Including Discontinued Operation, Goodwill   $ 350              
Subsequent Event [Member]                  
Business Acquisition [Line Items]                  
Agreed-upon Purchase Price for Equity Stake $ 70                
Supreme Foods Processing Company | Subsequent Event [Member]                  
Business Acquisition [Line Items]                  
Subsidiary or Equity Method Investee, Cumulative Percentage Ownership after All Transactions 60.00%                
Malaysian Producer of Feed and Poultry                  
Business Combination and Asset Acquisition [Abstract]                  
Payments to Acquire Equity Method Investments           $ 44      
Equity Method Investment, Future Contingent Payments               $ 65  
Business Acquisition [Line Items]                  
Business Acquisition, Percentage of Voting Interests Acquired               49.00%  
Payments to Acquire Equity Method Investments           $ 44      
Equity Method Investment, Future Contingent Payments               $ 65  
Agricultural Development Company | Subsequent Event [Member]                  
Business Acquisition [Line Items]                  
Business Acquisition, Percentage of Voting Interests Acquired 15.00%                
South African-based Fully Integrated Poultry Company                  
Business Combination and Asset Acquisition [Abstract]                  
Payments to Acquire Equity Method Investments         $ 100        
Business Acquisition [Line Items]                  
Business Acquisition, Percentage of Voting Interests Acquired         35.00%   35.00%    
Payments to Acquire Equity Method Investments         $ 100        
Vertically Integrated Brazilian Poultry Producer                  
Business Combination and Asset Acquisition [Abstract]                  
Payments to Acquire Equity Method Investments       $ 122          
Business Acquisition [Line Items]                  
Business Acquisition, Percentage of Voting Interests Acquired       40.00%          
Payments to Acquire Equity Method Investments       $ 122          
Fats & Oils Market Joint Venture                  
Business Combination and Asset Acquisition [Abstract]                  
Payments to Acquire Equity Method Investments     $ 61            
Business Acquisition [Line Items]                  
Business Acquisition, Percentage of Voting Interests Acquired     50.00%            
Payments to Acquire Equity Method Investments     $ 61