Income Taxes - Deferred Tax Assets and Liabilities (Details) - USD ($)	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013	Mar. 09, 2006
Deferred tax assets:
Loss contingency reserves	$ 11,961,000	$ 11,500,000
Employee benefits	9,383,000	11,866,000
Pension liability	17,714,000	20,106,000
Intangible assets amortization, including taxable goodwill	2,947,000	3,300,000
Net operating losses	99,534,000	75,920,000
Inventory	7,934,000	7,965,000
Other	16,621,000	11,130,000
Total gross deferred tax assets	166,094,000	141,787,000
Less valuation allowance	(22,209,000)	(18,037,000)
Net deferred tax assets	143,885,000	123,750,000
Deferred tax liabilities:
Intangible assets amortization, including taxable goodwill	(182,748,000)	(189,877,000)
Property, plant and equipment depreciation	(209,925,000)	(203,602,000)
Investment in DGD Joint Venture	(46,239,000)	(41,040,000)
Tax on unremitted foreign earnings	(48,106,000)	(47,870,000)
Other	(1,196,000)	(3,368,000)
Total gross deferred tax liabilities	(488,214,000)	(485,757,000)
Net deferred tax liability	(344,329,000)	(362,007,000)
Non-current deferred tax asset	16,352,000	17,266,000
Non-current deferred tax liability	(360,681,000)	$ (379,273,000)
Class of Stock [Line Items]
Deferred Compensation Share-based Arrangements, Liability, Current and Noncurrent	$ 500,000
Granted (in shares)	422,386	163,078	195,634
Total gross deferred tax liabilities	$ (488,214,000)	$ (485,757,000)
Director Restricted Stock Plan [Member]
Class of Stock [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Stock Available for Grant Per Employee	$ 90,000			$ 60,000
Restricted Stock, Repurchase Price Per Share				$ 0.01
Restricted Stock Subject To Restrictions Percent				100.00%