Consolidated Statements of Stockholders’ Equity - USD ($) $ in Thousands	Total	Parent [Member]	Common Stock [Member]	Additional Paid-in Capital [Member]	Treasury Stock [Member]	AOCI Attributable to Parent [Member]	Retained Earnings [Member]	Noncontrolling Interest [Member]	Natural Gas Swap [Member]	Natural Gas Swap [Member] Parent [Member]	Natural Gas Swap [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]
Balance (in shares) at Jan. 02, 2016			164,735,376
Stockholders' Equity, Beginning Balance at Jan. 02, 2016	$ 1,974,610	$ 1,870,709	$ 1,671	$ 1,488,783	$ (34,316)	$ (335,918)	$ 750,489	$ 103,901
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	107,224	102,313					102,313	4,911
Distribution of noncontrolling interest earnings	(3,688)							(3,688)
Pension liability adjustments, net of tax	(1,016)	(1,016)				(1,016)
Derivatives												$ 625	$ 625	$ 625
Foreign currency translation adjustments	(5,593)	(3,697)				(3,697)		(1,896)
Issuance of non-vested stock (in shares)			341,185
Issuance of non-vested stock	4,131	4,131	$ 3	4,128
Stock-based compensation	4,081	4,081		4,081
Tax benefits associated with stock-based compensation	(364)	(364)		(364)
Treasury stock (in shares)			(693,250)
Treasury stock	(6,593)	(6,593)			(6,593)
Issuance of common stock (in shares)			229,247
Issuance of common stock	2,805	2,805	$ 2	2,803
Balance (in shares) at Dec. 31, 2016			164,612,558
Stockholders' Equity, Ending Balance at Dec. 31, 2016	2,076,222	1,972,994	$ 1,676	1,499,431	(40,909)	(340,006)	852,802	103,228
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Adjustment to initially apply ASU	(43)	(43)					(43)
Net income	133,354	128,468					128,468	4,886
Distribution of noncontrolling interest earnings	(4,020)							(4,020)
Deductions to noncontrolling interests	(19,112)	(1,721)		(1,721)				(17,391)
Pension liability adjustments, net of tax	5,829	5,829				5,829
Derivatives									$ (18)	$ (18)	$ (18)	(1,078)	(1,078)	(1,078)
Foreign currency translation adjustments	121,810	125,749				125,749		(3,939)
Stock-based compensation	14,831	14,831		14,831
Treasury stock (in shares)			(210,206)
Treasury stock	(3,154)	(3,154)			(3,154)
Issuance of common stock (in shares)			251,085
Issuance of common stock	3,076	3,076	$ 3	3,073
Balance (in shares) at Dec. 30, 2017			164,653,437
Stockholders' Equity, Ending Balance at Dec. 30, 2017	2,327,697	2,244,933	$ 1,679	1,515,614	(44,063)	(209,524)	981,227	82,764
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Adjustment to initially apply ASU	0	0				(4,782)	4,782
Net income	105,944	101,496					101,496	4,448
Distribution of noncontrolling interest earnings	(9,710)							(9,710)
Noncontrolling Interest, Period Increase (Decrease)	(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