Comprehensive Income Reclassifications (Details) - USD ($) $ in Thousands		12 Months Ended
		Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net sales		$ 6,532,204	$ 4,741,369	$ 3,571,923
Cost of sales and operating expenses		5,002,609	3,499,385	2,688,815
Amortization of prior service cost		22	25	33
Amortization of actuarial loss		(2,235)	(4,228)	(3,405)
Amortization of curtailment				(69)
Amortization of settlement		22	(210)	30
Special termination benefits recognized		(38)	0	0
Income taxes		(146,626)	(164,106)	(53,289)
Net income		737,690	650,914	296,819
Reclassification out of Accumulated Other Comprehensive Income [Member]
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net income		(2,972)	(14,430)	5,967
Reclassification out of Accumulated Other Comprehensive Income [Member] | Accumulated Gain (Loss), Net, Cash Flow Hedge, Parent [Member] | Soybean Meal [Member]
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net sales		521	274	(49)
Reclassification out of Accumulated Other Comprehensive Income [Member] | Accumulated Gain (Loss), Net, Cash Flow Hedge, Parent [Member] | Foreign Exchange Contract [Member]
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net sales		14,549	2,333	13,809
Reclassification out of Accumulated Other Comprehensive Income [Member] | Derivative Instruments
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Income from operations before income taxes		(338)	(14,398)	13,637
Income taxes		(955)	3,423	(5,071)
Net income		(1,293)	(10,975)	8,566
Reclassification out of Accumulated Other Comprehensive Income [Member] | Derivative Instruments | Corn Option [Member]
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Cost of sales and operating expenses		(15,408)	(17,005)	(123)
Reclassification out of Accumulated Other Comprehensive Income [Member] | Defined Benefit Pension Plans
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Amortization of prior service cost	[1]	(22)	(25)	(33)
Amortization of actuarial loss	[1]	(2,235)	(4,228)	(3,405)
Amortization of curtailment	[1]	0	0	(69)
Amortization of settlement	[1]	22	(210)	30
Income from operations before income taxes		(2,273)	(4,463)	(3,477)
Income taxes		594	1,008	878
Net income		$ (1,679)	$ (3,455)	$ (2,599)

[1] These items are included in the computation of net periodic pension cost. See Note 15 Employee Benefit Plans for additional information.