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Transactions With Related Parties (Details) shares in Millions, $ in Millions	12 Months Ended
	Oct. 02, 2021 USD ($) shares	Oct. 03, 2020 USD ($)	Sep. 28, 2019 USD ($)
Related Party Transaction [Line Items]
Operating Lease, Liability	$ 523.0
Tyson Limited Partnership [Member]
Related Party Transaction [Line Items]
Related Party Transaction, Amounts of Transaction	0.2	$ 0.2	$ 0.3
Donald J. Tyson Revocable Trust, Berry Street Waste Water Treatment Plant, LP, and the sisters of Mr. Tyson [Member]
Related Party Transaction [Line Items]
Finance Lease, Liability	7.0	7.0
Operating Lease, Liability	3.0	0.0
Related Party Transaction, Amounts of Transaction	$ 1.0	$ 1.0	$ 1.0
Class B [Member] | Tyson Limited Partnership [Member]
Related Party Transaction [Line Items]
Tyson Family Ownership Percentage	99.985%
Related Party Ownership of Shares Outstanding | shares	70.0
Class A [Member] | Tyson Limited Partnership [Member]
Related Party Transaction [Line Items]
Related Party Ownership of Shares Outstanding | shares	6.7
Water Plant [Member] | Donald J. Tyson Revocable Trust, Berry Street Waste Water Treatment Plant, LP, and the sisters of Mr. Tyson [Member]
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.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 50
-Paragraph 6
-URI http://asc.fasb.org/extlink&oid=123408670&loc=SL77918701-209980

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
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-Section 45
-Paragraph 1
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-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 45
-Paragraph 1
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=123391704&loc=SL77918627-209977

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 850
-SubTopic 10
-Section 50
-Paragraph 1
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