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Equity (Narrative) (Details)
$ / shares in Units, shares in Millions
12 Months Ended
Nov. 12, 2018
$ / shares
Jul. 17, 2017
USD ($)
Feb. 04, 2016
shares
Sep. 29, 2018
Classes
$ / shares
shares
Sep. 30, 2017
$ / shares
Oct. 01, 2016
$ / shares
Sep. 27, 2014
USD ($)
shares
$ / 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%      
Stock Repurchase Program, Remaining Number of Shares Authorized to be Repurchased | shares       22.9      
TEUs issued (in units) | shares             30.0
TEUs, Dividend Rate             4.75%
Net proceeds from issuance of TEUs | $             $ 1,454,000,000
TEUs, stated amount per unit (in dollars per unit)             $ 50
TEUs, Equity Component | $             $ 1,295,000,000
TEUs, Debt Component | $             $ 205,000,000
Convertible Debt [Member] | Tangible Equity Unit, Senior Amortizing Note [Member]              
Class of Stock [Line Items]              
Debt Instrument, Periodic Payment | $   $ 0.59          
Tyson Limited Partnership And Tyson Family [Member]              
Class of Stock [Line Items]              
Related Party Voting Rights Percentage       70.96%      
Class A [Member]              
Class of Stock [Line Items]              
Common stock, par value       $ 0.1 $ 0.10    
Common Stock, Vote Entitlement Per Share       1      
Common Stock, Dividends, Per Share, Cash Paid       1.20 0.90 $ 0.60  
Common Stock, Dividends, Per Share, Declared       $ 1.275 0.975 0.650  
Stock Repurchase Program, Increase (Decrease) in Authorized Shares | shares     50.0        
Class A [Member] | Subsequent Event [Member]              
Class of Stock [Line Items]              
Common Stock, Dividends, Per Share, Declared $ 0.375            
Class A [Member] | Tyson Limited Partnership And Tyson Family [Member]              
Class of Stock [Line Items]              
Tyson Family Ownership Percentage       2.09%      
Class B [Member]              
Class of Stock [Line Items]              
Common stock, par value       $ 0.1 0.10    
Common Stock, Vote Entitlement Per Share       10      
Common Stock, Dividends, Per Share, Cash Paid       1.08 0.81 0.54  
Common Stock, Dividends, Per Share, Declared       $ 1.148 $ 0.878 $ 0.585  
Class B [Member] | Subsequent Event [Member]              
Class of Stock [Line Items]              
Common Stock, Dividends, Per Share, Declared $ 0.3375            
Class B [Member] | Tyson Limited Partnership [Member]              
Class of Stock [Line Items]              
Tyson Family Ownership Percentage       99.985%