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Segments - Schedule of Net Sales, Net Income, and Significant Expenses (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Oct. 04, 2025
Oct. 05, 2024
Oct. 04, 2025
Oct. 05, 2024
Segment Reporting Information [Line Items]        
Net sales $ 1,226,554 $ 1,190,561 $ 4,023,619 $ 3,992,362
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization) 638,703 598,209 2,053,109 2,008,757
Total selling, distribution, and administrative expenses 475,952 460,359 1,583,002 1,557,010
Depreciation 30,082 30,051 98,891 97,983
Amortization 9,769 7,218 30,010 24,197
Right-of-use financing lease amortization 22 62 66 213
Plant closure costs and impairment of assets 0 4,483 7,397 9,860
Restructuring charges 5,510 0 6,083 7,403
Interest expense 18,220 8,688 56,771 28,967
Interest income (3,767) (3,910) (13,234) (13,670)
Other components of net periodic pension and postretirement benefits credit (88) (119) (293) (395)
Income before income taxes 52,151 85,520 201,817 272,037
Income tax expense 12,617 20,536 50,920 67,043
Net income 39,534 64,984 150,897 204,994
Ingredients        
Segment Reporting Information [Line Items]        
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization) 299,075 304,522 983,581 1,029,282
Workforce-related Costs        
Segment Reporting Information [Line Items]        
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization) 177,008 174,917 578,341 575,651
Packaging        
Segment Reporting Information [Line Items]        
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization) 44,733 43,906 148,510 146,731
Other        
Segment Reporting Information [Line Items]        
Total materials, supplies, labor and other production costs (exclusive of depreciation and amortization) [1] 117,887 74,864 342,677 257,093
Workforce-related Costs        
Segment Reporting Information [Line Items]        
Total selling, distribution, and administrative expenses 156,190 141,423 514,860 469,922
Distributor Distribution Fees        
Segment Reporting Information [Line Items]        
Total selling, distribution, and administrative expenses 141,650 155,131 478,975 535,303
Other        
Segment Reporting Information [Line Items]        
Total selling, distribution, and administrative expenses [2] $ 178,112 $ 163,805 $ 589,167 $ 551,785
[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.