Consolidated Statements of Stockholders’ Equity - USD ($) $ in Thousands	Total	Cumulative Effect, Period of Adoption, Adjustment	Parent [Member]	Parent [Member] Cumulative Effect, Period of Adoption, Adjustment	Common Stock [Member]	Additional Paid-in Capital [Member]	Treasury Stock [Member]	AOCI Attributable to Parent [Member]	AOCI Attributable to Parent [Member] Cumulative Effect, Period of Adoption, Adjustment	Retained Earnings [Member]	Retained Earnings [Member] Cumulative Effect, Period of Adoption, Adjustment	Noncontrolling Interest [Member]	Natural Gas Swap [Member]	Natural Gas Swap [Member] Parent [Member]	Natural Gas Swap [Member] AOCI Attributable to Parent [Member]	Heating Oil [Member]	Heating Oil [Member] Parent [Member]	Heating Oil [Member] AOCI Attributable to Parent [Member]	Corn Option [Member]	Corn Option [Member] Parent [Member]	Corn Option [Member] AOCI Attributable to Parent [Member]	Foreign Exchange Contract [Member]	Foreign Exchange Contract [Member] Parent [Member]	Foreign Exchange Contract [Member] AOCI Attributable to Parent [Member]	Soybean Meal [Member]	Soybean Meal [Member] Parent [Member]	Soybean Meal [Member] AOCI Attributable to Parent [Member]
Balance (in shares) at Dec. 30, 2017					164,653,437
Stockholders' Equity, Beginning Balance at Dec. 30, 2017	$ 2,327,697	$ 0	$ 2,244,933	$ 0	$ 1,679	$ 1,515,614	$ (44,063)	$ (209,524)	$ (4,782)	$ 981,227	$ 4,782	$ 82,764
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	105,944		101,496							101,496		4,448
Distribution of noncontrolling interest earnings	(9,710)											(9,710)
Deductions to noncontrolling interests	(14,175)											(14,175)
Pension liability adjustments, net of tax	(2,730)		(2,730)					(2,730)
Derivatives													$ 23	$ 23	$ 23				$ (1,687)	$ (1,687)	$ (1,687)	$ 1,081	$ 1,081	$ 1,081
Foreign currency translation adjustments	(87,474)		(86,920)					(86,920)				(554)
Stock-based compensation	18,260		18,260			18,260
Treasury stock (in shares)					(198,516)
Treasury stock	(3,693)		(3,693)				(3,693)
Issuance of common stock (in shares)					205,677
Issuance of common stock	2,285		2,285		$ 2	2,283
Balance (in shares) at Dec. 29, 2018					164,660,598
Stockholders' Equity, Ending Balance at Dec. 29, 2018	2,335,821		2,273,048		$ 1,681	1,536,157	(47,756)	(304,539)		1,087,505		62,773
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	320,967		312,600							312,600		8,367
Distribution of noncontrolling interest earnings	(5,964)											(5,964)
Deductions to noncontrolling interests	12,032											12,032
Pension liability adjustments, net of tax	1,535		1,535					1,535
Derivatives																$ (3,141)	$ (3,141)	$ (3,141)	278	278	278	(3,723)	(3,723)	(3,723)
Foreign currency translation adjustments	(11,934)		(12,257)					(12,257)				323
Stock-based compensation	21,007		21,007			21,007
Treasury stock (in shares)					(1,407,624)
Treasury stock	(27,266)		(27,266)				(27,266)
Issuance of common stock (in shares)					522,137
Issuance of common stock	3,738		3,738		$ 5	3,733
Balance (in shares) at Dec. 28, 2019					163,775,111
Stockholders' Equity, Ending Balance at Dec. 28, 2019	2,643,350		2,565,819		$ 1,686	1,560,897	(75,022)	(321,847)		1,400,105		77,531
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	300,330		296,819							296,819		3,511
Distribution of noncontrolling interest earnings	(4,480)											(4,480)
Deductions to noncontrolling interests			3,258			3,258
Deductions to noncontrolling interests	(9,888)											(13,146)
Pension liability adjustments, net of tax	(4,313)		(4,313)					(4,313)
Derivatives																$ 1,104	$ 1,104	$ 1,104	$ (5,731)	$ (5,731)	$ (5,731)	$ 6,621	$ 6,621	$ 6,621	$ 297	$ 297	$ 297
Foreign currency translation adjustments	70,320		71,436					71,436				(1,116)
Stock-based compensation	23,001		23,001			23,001
Treasury stock (in shares)					(2,834,646)
Treasury stock	(76,688)		(76,688)				(76,688)
Issuance of common stock (in shares)					1,248,924
Issuance of common stock	10,065		10,065		$ 13	10,052
Balance (in shares) at Jan. 02, 2021					162,200,389
Stockholders' Equity, Ending Balance at Jan. 02, 2021	2,954,209		2,891,909		$ 1,699	1,597,429	$ (151,710)	$ (252,433)		$ 1,696,924		$ 62,300
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stock Issued During Period, Shares, Restricted Stock Award, Gross					11,000
Stock Issued During Period, Value, Restricted Stock Award, Gross	$ 221		$ 221			$ 221