Earnings Per Share (Schedule Of Earnings Per Share, Basic And Diluted) (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended
	Dec. 31, 2022	Jan. 01, 2022
Earnings Per Share, Basic and Diluted [Line Items]
Net Income	$ 320	$ 1,126
Less: Net Income Attributable to Noncontrolling Interests	4	5
Net income attributable to Tyson	316	1,121
Undistributed earnings	$ 141	$ 951
Stock options, restricted stock and performance units	2	3
Denominator for diluted earnings per share – adjusted weighted average shares and assumed conversions	358	365
Diluted	$ 0.88	$ 3.07
Class A [Member]
Earnings Per Share, Basic and Diluted [Line Items]
Less dividends declared:	$ 143	$ 140
Undistributed earnings	$ 116	$ 782
Weighted average number of shares outstanding - Basic	286	292
Net Income Per Share Attributable to Tyson - Basic	$ 0.91	$ 3.16
Common Stock, Dividends, Per Share, Declared	$ 0.500	$ 0.475
Class B [Member]
Earnings Per Share, Basic and Diluted [Line Items]
Less dividends declared:	$ 32	$ 30
Undistributed earnings	$ 25	$ 169
Weighted average number of shares outstanding - Basic	70	70
Net Income Per Share Attributable to Tyson - Basic	$ 0.81	$ 2.84
Common Stock, Dividends, Per Share, Declared	$ 0.450	$ 0.428