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Equity (Narrative) (Details)
$ / shares in Units, shares in Millions, $ in Millions
 12 Months Ended
Nov. 08, 2024
$ / shares
Sep. 28, 2024
USD ($)
Classes
$ / shares
shares
Sep. 30, 2023
USD ($)
$ / shares
Oct. 01, 2022
$ / shares
Class of Stock [Line Items]        
Number Of Classes Of Common Stock | Classes   2    
Cash Dividends, Paid Ratio To Other Class Of Stock, Maximum   90.00%    
Dividends Payable | $   $ 171 $ 167  
Tyson Limited Partnership And Tyson Family Member        
Class of Stock [Line Items]        
Related Party Voting Rights Percentage   71.70%    
Class A [Member]        
Class of Stock [Line Items]        
Common stock, par value   $ 0.10 $ 0.10  
Common Stock, Vote Entitlement Per Share   1    
Common Stock, Dividends, Per Share, Cash Paid   1.96 1.92 $ 1.84
Common Stock, Dividends, Per Share, Declared   $ 1.970 1.940 1.855
Stock Repurchase Program, Remaining Number of Shares Authorized to be Repurchased | shares   7.3    
Class A [Member] | Subsequent Event [Member]        
Class of Stock [Line Items]        
Common Stock, Dividends, Per Share, Declared $ 0.50      
Class A [Member] | Tyson Limited Partnership And Tyson Family Member        
Class of Stock [Line Items]        
Tyson Family Ownership Percentage   2.43%    
Class B [Member]        
Class of Stock [Line Items]        
Common stock, par value   $ 0.10 0.10  
Common Stock, Vote Entitlement Per Share   10    
Common Stock, Dividends, Per Share, Cash Paid   1.76 1.73 1.66
Common Stock, Dividends, Per Share, Declared   $ 1.773 $ 1.746 $ 1.670
Class B [Member] | Subsequent Event [Member]        
Class of Stock [Line Items]        
Common Stock, Dividends, Per Share, Declared $ 0.45      
Class B [Member] | Tyson Limited Partnership        
Class of Stock [Line Items]        
Tyson Family Ownership Percentage   99.987%