Comprehensive Income Reclassifications (Details) - USD ($) $ in Thousands		12 Months Ended
		Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net sales		$ 4,741,369	$ 3,571,923	$ 3,363,905
Cost of sales and operating expenses		3,499,385	2,688,815	2,589,085
Amortization of prior service cost		(25)	(33)	(34)
Amortization of actuarial loss		(4,228)	(3,405)	(4,571)
Amortization of curtailment			(69)
Amortization of settlement		(210)	30	(66)
Income taxes		(164,106)	(53,289)	(59,467)
Net income		650,914	296,819	312,600
Reclassification out of Accumulated Other Comprehensive Income [Member]
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net income		(14,430)	5,967	(4,722)
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		274	(49)	0
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		2,333	13,809	(1,345)
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		(14,398)	13,637	(1,767)
Income taxes		3,423	(5,071)	548
Net income		(10,975)	8,566	(1,219)
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		(17,005)	(123)	(422)
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]	(25)	(33)	(34)
Amortization of actuarial loss	[1]	(4,228)	(3,405)	(4,571)
Amortization of curtailment	[1]	0	69	0
Amortization of settlement	[1]	(210)	30	(66)
Income from operations before income taxes		(4,463)	(3,477)	(4,671)
Income taxes		1,008	878	1,168
Net income		$ (3,455)	$ (2,599)	$ (3,503)

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