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Transactions With Related Parties (Details) shares in Millions, $ in Millions | 12 Months Ended
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Sep. 27, 2025 USD ($) shares | Sep. 28, 2024 USD ($) | Sep. 30, 2023 USD ($)
Related Party Transaction [Line Items] |  |  |
Finance Lease, Liability | $ 168.0 | $ 126.0 |
Operating Lease, Liability | 865.0 |  |
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 | 1.0 |
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 | $ 0.4 | 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 | 7.2 |  |
Tyson Limited Partnership And Tyson Family Member |  |  |
Related Party Transaction [Line Items] |  |  |
Related Party Voting Rights Percentage | 71.94% |  |
Tyson Limited Partnership And Tyson Family Member | Class A [Member] |  |  |
Related Party Transaction [Line Items] |  |  |
Tyson Family Ownership Percentage | 2.56% |  |
TBB Land Holdings LLC |  |  |
Related Party Transaction [Line Items] |  |  |
Related Party Transaction, Purchases from Related Party |  | $ 0.8 |
North Ark Bahamas, LLC |  |  |
Related Party Transaction [Line Items] |  |  |
Related Party Transaction, Amounts of Transaction | $ 0.2 |  |
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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