Segments - Schedule of Net Sales, Net Income, and Significant Expenses (Details) - USD ($) $ in Thousands		4 Months Ended
		Apr. 19, 2025	Apr. 20, 2024
Segment Reporting Information [Line Items]
Net sales		$ 1,554,230	$ 1,576,818
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization)		778,346	797,186
Total selling, distribution, and administrative expenses		633,513	625,251
Depreciation		38,666	38,432
Amortization		10,581	9,716
Right-of-use financing lease amortization		21	87
Plant closure costs and impairment of assets		7,397	4,000
Restructuring charges		573	598
Interest expense		19,674	11,301
Interest income		(5,626)	(5,690)
Other components of net periodic pension and postretirement benefits credit		(117)	(158)
Income before income taxes		71,202	96,095
Income tax expense		18,204	23,052
Net income		52,998	73,043
Ingredients
Segment Reporting Information [Line Items]
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization)		382,628	413,919
Workforce-related Costs
Segment Reporting Information [Line Items]
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization)		227,912	225,533
Packaging
Segment Reporting Information [Line Items]
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization)		58,695	58,539
Other
Segment Reporting Information [Line Items]
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization)	[1]	109,111	99,195
Workforce-related Costs
Segment Reporting Information [Line Items]
Total selling, distribution, and administrative expenses		202,658	187,814
Distributor Distribution Fees
Segment Reporting Information [Line Items]
Total selling, distribution, and administrative expenses		192,927	216,987
Other
Segment Reporting Information [Line Items]
Total selling, distribution, and administrative expenses	[2]	$ 237,928	$ 220,450

[1] The Other line item includes utilities, repairs and maintenance, rent, and other production costs.

[2] The Other line item includes transportation, marketing, legal, consulting, rent, computer maintenance, and other overhead expenses.