Business Segments (Narrative) (Details) $ in Thousands		3 Months Ended								12 Months Ended
		Jan. 02, 2016 USD ($) segment	Oct. 03, 2015 USD ($)	Jul. 04, 2015 USD ($)	Apr. 04, 2015 USD ($)	Jan. 03, 2015 USD ($)	Sep. 27, 2014 USD ($)	Jun. 28, 2014 USD ($)	Mar. 29, 2014 USD ($)	Jan. 02, 2016 USD ($) segment	Jan. 03, 2015 USD ($)	Dec. 28, 2013 USD ($)	Dec. 29, 2013 segment
Segment Reporting Information [Line Items]
Number of Business Segments | segment		3								3			3
Net Sales		$ 809,675	$ 853,762	$ 859,315	$ 874,694	$ 1,000,203	$ 978,665	$ 1,031,283	$ 946,292	$ 3,397,446	$ 3,956,443	$ 1,802,268
Capital expenditures:	[1]									$ 229,848	228,918	118,307
Vion Ingredients [Member]
Segment Reporting Information [Line Items]
Capital expenditures:											$ 984,200
Terra Transaction and Rothsay Acquisition [Member]
Segment Reporting Information [Line Items]
Capital expenditures:												$ 167,000

[1] Excludes the capital assets acquired in an immaterial acquisition in fiscal 2015, the VION Acquisition and Custom Blenders acquisition in fiscal 2014 of approximately $984.2 million, the Terra Transaction and the Rothsay Acquisition in fiscal 2013 of approximately $167.0 million