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Basis of Presentation - Additional Information (Detail) - USD ($) $ in Thousands | 3 Months Ended | 4 Months Ended | 9 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | ---
Oct. 05, 2024 | Jul. 13, 2024 | Dec. 30, 2023 | Oct. 07, 2023 | Apr. 20, 2024 | Oct. 05, 2024 | Oct. 07, 2023 | Dec. 30, 2023 | Jul. 15, 2023 | Jul. 16, 2022
Basis of Presentation [Line Items] |  |  |  |  |  |  |  |  |  |
Segment reporting, description |  |  |  |  |  | The company has one operating segment based on the nature of products the company sells, intertwined production and distribution model, the internal management structure and information that is regularly reviewed by the chief executive officer (“CEO”), who is the chief operating decision maker, for the purpose of assessing performance and allocating resources. |  |  |  |
Investment in unconsolidated affiliate | $ 1,481 |  | $ 5,481 |  |  | $ 1,481 |  | $ 5,481 |  |
Fair value of investment in unconsolidated affiliate | 1,500 |  |  |  | $ 1,500 | 1,500 |  |  |  |
Severance costs | 1,100 |  |  |  |  |  |  |  |  |
Asset impairment and equipment relocation charges | 2,400 |  |  |  |  | 9,864 | $ 3,347 |  |  |
Recovery related to the sale of equipment | 1,300 |  |  |  |  | 2,040 | 2,278 |  |  |
Investment impairment loss |  |  | $ 5,500 |  | $ 4,000 |  |  |  |  |
Business Process Improvement Cost | 500 |  |  | $ 5,800 |  | $ 5,800 | $ 18,600 |  |  |
ERP Related Software |  |  |  |  |  |  |  |  |  |
Basis of Presentation [Line Items] |  |  |  |  |  |  |  |  |  |
Asset impairment and equipment relocation charges | $ 2,300 |  |  |  |  |  |  |  |  |
Cake Distribution Territories Classified as Held for Sale |  |  |  |  |  |  |  |  |  |
Basis of Presentation [Line Items] |  |  |  |  |  |  |  |  |  |
Impairment charge |  | $ 1,400 |  |  |  |  |  |  |  |
Outstanding Trade Receivables | Wal-Mart/Sam's Club | Customer Concentration Risk |  |  |  |  |  |  |  |  |  |
Basis of Presentation [Line Items] |  |  |  |  |  |  |  |  |  |
Concentration risk percentage |  |  |  |  |  | 17.90% |  | 20.30% |  |
Initial Investment |  |  |  |  |  |  |  |  |  |
Basis of Presentation [Line Items] |  |  |  |  |  |  |  |  |  |
Investment in unconsolidated affiliate |  |  |  |  |  |  |  |  |  | $ 9,000
Second Investment |  |  |  |  |  |  |  |  |  |
Basis of Presentation [Line Items] |  |  |  |  |  |  |  |  |  |
Investment in unconsolidated affiliate |  |  |  |  |  |  |  |  | $ 2,000 |

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