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Basis of Presentation - Additional Information (Detail) - USD ($) $ in Thousands		3 Months Ended			9 Months Ended		12 Months Ended
	Feb. 17, 2023	Oct. 07, 2023	Jul. 15, 2023	Oct. 08, 2022	Oct. 07, 2023	Oct. 08, 2022	Dec. 31, 2022	Jul. 16, 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		5,800		$ 8,100	18,600	$ 28,900
Impairment charge					1,000
Acquisition related costs				11,600
Realized foreign currency exchange losses				$ 8,400
Papa Pita
Basis of Presentation [Line Items]
Business acquisition consideration amount	$ 274,755
Business acquisition additional costs					3,700
Goodwill adjustment			$ 1,500
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
Warehouse Classified as Held for Sale
Basis of Presentation [Line Items]
Impairment charge		1,000
Outstanding Trade Receivables \| Wal-Mart/Sam's Club \| Customer Concentration Risk
Basis of Presentation [Line Items]
Concentration risk percentage					19.40%		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
Second Investment
Basis of Presentation [Line Items]
Investment in unconsolidated affiliate			$ 2,000