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Transactions With Related Parties (Details)
shares in Millions
12 Months Ended
Oct. 01, 2022
USD ($)
shares
Oct. 02, 2021
USD ($)
Oct. 03, 2020
USD ($)
Related Party Transaction [Line Items]      
Operating Lease, Liability $ 495,000,000    
Donald J. Tyson Revocable Trust, Berry Street Waste Water Treatment Plant, LP, and the sisters of Mr. Tyson      
Related Party Transaction [Line Items]      
Finance Lease, Liability 7,000,000 $ 7,000,000  
Operating Lease, Liability 3,000,000 3,000,000  
Related Party Transaction, Amounts of Transaction 1,000,000 1,000,000 $ 1,000,000
Tyson Limited Partnership      
Related Party Transaction [Line Items]      
Related Party Transaction, Amounts of Transaction $ 200,000 $ 200,000 $ 200,000
Tyson Limited Partnership | Class B [Member]      
Related Party Transaction [Line Items]      
Tyson Family Ownership Percentage 99.985%    
Related Party Ownership of Shares Outstanding | shares 70.0    
Tyson Limited Partnership | Class A [Member]      
Related Party Transaction [Line Items]      
Related Party Ownership of Shares Outstanding | shares 6.7    
Tyson Limited Partnership And Tyson Family Member      
Related Party Transaction [Line Items]      
Related Party Voting Rights Percentage 71.15%    
Tyson Limited Partnership And Tyson Family Member | Class A [Member]      
Related Party Transaction [Line Items]      
Tyson Family Ownership Percentage 2.27%    
Water Plant | Donald J. Tyson Revocable Trust, Berry Street Waste Water Treatment Plant, LP, and the sisters of Mr. Tyson      
Related Party Transaction [Line Items]      
Related Party Transaction, Number of Operating Leases 2    
Tyson Family Ownership Percentage 90.00%