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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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