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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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- Definition 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 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -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 + Details
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