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Basis of Presentation - Additional Information (Detail) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended		12 Months Ended
	Jul. 15, 2023	Jul. 16, 2022	Jul. 15, 2023	Jul. 16, 2022	Dec. 31, 2022	Mar. 09, 2021
Basis of Presentation [Line Items]
Debt instrument face amount	$ 900,000		$ 900,000		$ 900,000
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	10,981		$ 10,981		$ 9,000
Business Process Improvement Cost	6,600	$ 11,700	12,800	$ 20,700
Impairment charge			1,000
Holsum Bakery
Basis of Presentation [Line Items]
Severance costs			1,700
Multi-employer pension plan withdrawal costs			1,300
Asset impairment and equipment relocation charges			$ 3,800
Outstanding Trade Receivables | Wal-Mart/Sam's Club | Customer Concentration Risk
Basis of Presentation [Line Items]
Concentration risk percentage			21.80%		24.30%
2031 Notes
Basis of Presentation [Line Items]
Debt instrument face amount	500,000		$ 500,000		$ 500,000	$ 500,000
Debt instrument interest rate						2.40%
Initial Investment
Basis of Presentation [Line Items]
Investment in unconsolidated affiliate		$ 9,000		$ 9,000
Second Investment
Basis of Presentation [Line Items]
Investment in unconsolidated affiliate	$ 2,000		$ 2,000

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