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Business Segments (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2016
Oct. 01, 2016
Jul. 02, 2016
Apr. 02, 2016
Jan. 02, 2016
Oct. 03, 2015
Jul. 04, 2015
Apr. 04, 2015
Dec. 31, 2016
Jan. 02, 2016
Jan. 03, 2015
Segment Reporting Information [Line Items]                      
Net Sales $ 887,277 $ 853,856 $ 877,341 $ 779,641 $ 809,675 $ 853,762 $ 859,315 $ 874,694 $ 3,398,115 $ 3,397,446 $ 3,956,443
Cost of sales and operating expenses                 2,641,734 2,654,025 3,123,171
Selling, general and administrative expense                 314,005 322,574 374,580
Depreciation and amortization                 289,908 269,904 269,517
Segment operating income/(loss) 35,380 35,528 54,467 26,692 32,719 38,808 39,292 31,825 152,067 142,644 164,508
Equity in net income of unconsolidated subsidiaries                 70,379 73,416 65,609
Total other expense                 (99,907) (117,280) (148,665)
Income before income taxes 47,893 $ 28,146 $ 41,974 $ 4,526 84,737 $ 502 $ 9,602 $ 3,939 122,539 98,780 81,452
Segment assets 4,698,017       4,760,619       4,698,017 4,760,619  
Capital expenditures: [1]                 243,523 229,848 228,918
Long-Lived Assets 3,804,715       3,828,831       3,804,715 3,828,831  
North America                      
Segment Reporting Information [Line Items]                      
Net Sales                 1,817,659 1,951,421 2,131,978
Long-Lived Assets 2,411,489       2,375,919       2,411,489 2,375,919  
Europe                      
Segment Reporting Information [Line Items]                      
Net Sales                 1,225,397 1,066,779 1,438,320
Long-Lived Assets 1,158,087       1,215,341       1,158,087 1,215,341  
China                      
Segment Reporting Information [Line Items]                      
Net Sales                 218,480 234,978 229,876
Long-Lived Assets 152,150       169,832       152,150 169,832  
South America                      
Segment Reporting Information [Line Items]                      
Net Sales                 61,276 68,226 73,241
Long-Lived Assets 74,837       60,396       74,837 60,396  
Other                      
Segment Reporting Information [Line Items]                      
Net Sales                 75,303 76,042 83,028
Long-Lived Assets 8,152       7,343       8,152 7,343  
Feed Ingredients [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 2,089,145 2,074,333 2,421,462
Cost of sales and operating expenses                 1,624,858 1,613,402 1,864,835
Gross Margin                 464,287 460,931 556,627
Selling, general and administrative expense                 169,648 178,624 205,484
Acquisition costs                 0 0 0
Depreciation and amortization                 178,845 165,854 158,871
Segment operating income/(loss)                 115,794 116,453 192,272
Equity in net income of unconsolidated subsidiaries                 467 1,521 1,842
Segment income                 116,261 117,974 194,114
Segment assets 2,464,509       2,438,869       2,464,509 2,438,869  
Capital expenditures:                 167,313 153,894 135,923
Food Ingredients [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 1,061,912 1,094,918 1,248,352
Cost of sales and operating expenses                 834,410 863,562 1,029,488
Gross Margin                 227,502 231,356 218,864
Selling, general and administrative expense                 96,170 103,301 118,716
Acquisition costs                 0 0 0
Depreciation and amortization                 70,120 66,817 73,274
Segment operating income/(loss)                 61,212 61,238 26,874
Equity in net income of unconsolidated subsidiaries                 0 0 0
Segment income                 61,212 61,238 26,874
Segment assets 1,414,409       1,448,014       1,414,409 1,448,014  
Capital expenditures:                 50,020 49,066 61,657
Fuel Ingredients [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 247,058 228,195 286,629
Cost of sales and operating expenses                 182,466 177,061 228,848
Gross Margin                 64,592 51,134 57,781
Selling, general and administrative expense                 6,895 7,264 8,596
Acquisition costs                 0 0 0
Depreciation and amortization                 28,531 26,711 27,898
Segment operating income/(loss)                 29,166 17,159 21,287
Equity in net income of unconsolidated subsidiaries                 69,912 71,895 63,767
Segment income                 99,078 89,054 85,054
Segment assets 657,637       631,968       657,637 631,968  
Capital expenditures:                 22,323 19,478 21,392
Corporate Segment [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 0 0 0
Cost of sales and operating expenses                 0 0 0
Gross Margin                 0 0 0
Selling, general and administrative expense                 41,292 33,385 41,784
Acquisition costs                 401 8,299 24,667
Depreciation and amortization                 12,412 10,522 9,474
Segment operating income/(loss)                 (54,105) (52,206) (75,925)
Equity in net income of unconsolidated subsidiaries                 0 0 0
Segment income                 (54,105) (52,206) (75,925)
Segment assets 161,462       241,768       161,462 241,768  
Capital expenditures:                 3,867 7,410 9,946
Operating Segments [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 3,398,115 3,397,446 3,956,443
Cost of sales and operating expenses                 2,641,734 2,654,025 3,123,171
Gross Margin                 756,381 743,421 833,272
Selling, general and administrative expense                 314,005 322,574 374,580
Acquisition costs                 401 8,299 24,667
Depreciation and amortization                 289,908 269,904 269,517
Segment operating income/(loss)                 152,067 142,644 164,508
Equity in net income of unconsolidated subsidiaries                 70,379 73,416 65,609
Segment income                 222,446 216,060 $ 230,117
Segment assets $ 4,698,017       $ 4,760,619       $ 4,698,017 $ 4,760,619  
[1] Excludes the immaterial capital assets acquired in fiscal 2016 and fiscal 2015 and the VION Acquisition and Custom Blenders acquisition in fiscal 2014 of approximately $984.2 million