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Comprehensive Income Reclassifications (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Jan. 02, 2016
Oct. 03, 2015
Jul. 04, 2015
Apr. 04, 2015
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]                      
Cost of sales and operating expenses           $ 22,900 $ 24,300 $ 14,900 $ 2,654,025 $ 3,123,171 $ 1,339,819
Interest expense                 105,530 135,416 38,108
Amortization of prior service cost                 67 (23) (142)
Amortization of actuarial loss                 5,101 2,078 5,202
Amortization of curtailment                 (1,181)    
Amortization of settlement                 5,291    
Income taxes                 (13,501) (13,141) (54,711)
Net income $ 84,429 $ (9,087) $ 3,080 $ 109 $ 69,943 $ 14,318 $ 32,757 $ (52,803) 78,531 64,215 108,967
Reclassification out of Accumulated Other Comprehensive Income [Member]                      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]                      
Net income                 (5,126) 1,201 111
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                 1,517 4,064 5,527
Income taxes                 (589) (1,577) (2,145)
Net income                 928 2,487 3,382
Reclassification out of Accumulated Other Comprehensive Income [Member] | Derivative Instruments | Natural Gas Swap [Member]                      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]                      
Cost of sales and operating expenses                 0 196 41
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                 1,517 3,868 5,486
Reclassification out of Accumulated Other Comprehensive Income [Member] | Derivative Instruments | Interest Rate Swap [Member]                      
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]                      
Interest expense                 0 0 0
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]                 67 (23) (142)
Amortization of actuarial loss [1]                 (5,101) (2,078) (5,202)
Amortization of curtailment [1]                 1,181 0 0
Amortization of settlement [1]                 (5,291) 0 0
Income from operations before income taxes                 (9,144) (2,101) (5,344)
Income taxes                 3,090 815 2,073
Net income                 $ (6,054) $ (1,286) $ (3,271)
[1] These items are included in the computation of net periodic pension cost. See Note 15 Employee Benefit Plans for additional information.