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Acquisitions and Dispositions (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
May 22, 2023
Nov. 01, 2022
Jul. 06, 2021
Oct. 01, 2022
Jan. 01, 2022
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Business Combination and Asset Acquisition [Abstract]                
Payments to Acquire Equity Method Investments           $ 115 $ 177 $ 44
Business Acquisition [Line Items]                
Payments to Acquire Equity Method Investments           115 177 44
Goodwill, net       $ 10,513   9,878 $ 10,513 10,549
Pet Treats Business                
Business Acquisition [Line Items]                
Disposal Group, Including Discontinued Operation, Consideration     $ 1,200          
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          
Supreme Foods Processing Company                
Business Acquisition [Line Items]                
Subsidiary or Equity Method Investee, Cumulative Percentage Ownership after All Transactions   60.00%            
Williams Sausage Company                
Business Acquisition [Line Items]                
Business Combination, Consideration Transferred $ 223              
Goodwill, net 120              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net Working Capital 2              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities 28              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents 3              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment 67              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill $ 65              
Williams Sausage Company | Trademarks and Trade Names                
Business Acquisition [Line Items]                
Acquired Finite-Lived Intangible Assets, Weighted Average Useful Life 20 years              
Williams Sausage Company | Customer Relationships                
Business Acquisition [Line Items]                
Acquired Finite-Lived Intangible Assets, Weighted Average Useful Life 12 years              
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
Equity Method Investment, Contingent Payment Recognized           $ 27    
Agricultural Development Company                
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        
Williams Sausage Company                
Business Acquisition [Line Items]                
Business Acquisition, Goodwill, Expected Tax Deductible Amount $ 46