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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]
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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 |  |  |  |  |  |  |  |  |

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