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Transactions With Related Parties (Details) shares in Millions, $ in Millions	12 Months Ended
	Sep. 28, 2024 USD ($) shares	Sep. 30, 2023 USD ($)	Oct. 01, 2022 USD ($)
Related Party Transaction [Line Items]
Finance Lease, Liability	$ 126.0	$ 74.0
Operating Lease, Liability	694.0
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	6.0	6.0
Operating Lease, Liability	1.0	2.0
Related Party Transaction, Amounts of Transaction	1.0	1.0	$ 1.0
Tyson Limited Partnership
Related Party Transaction [Line Items]
Related Party Transaction, Amounts of Transaction	$ 0.2	$ 0.2	$ 0.2
Tyson Limited Partnership | Class B [Member]
Related Party Transaction [Line Items]
Tyson Family Ownership Percentage	99.987%
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	7.0
Tyson Limited Partnership And Tyson Family Member
Related Party Transaction [Line Items]
Related Party Voting Rights Percentage	71.70%
Tyson Limited Partnership And Tyson Family Member | Class A [Member]
Related Party Transaction [Line Items]
Tyson Family Ownership Percentage	2.43%
TBB Land Holdings LLC
Related Party Transaction [Line Items]
Related Party Transaction, Purchases from Related Party	$ 0.8
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%

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Present value of lessee's discounted obligation for lease payments from finance lease.

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-Topic 842
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-Section 50
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