Income Taxes - Altera Corp and Singapore Operations (Details) - USD ($) $ / shares in Units, $ in Thousands	1 Months Ended	12 Months Ended
	Feb. 27, 2016	Dec. 31, 2016	Jan. 02, 2016	Jan. 03, 2015
Income Taxes
Income tax benefit		$ (3,002)	$ (677)	$ (11,019)
Undistributed earnings of foreign subsidiaries		361,400
Singapore
Income Taxes
Income tax benefit		$ 7,700	$ 14,400	$ 2,000
Income tax benefit per diluted share (in dollars per share)		$ 0.18	$ 0.34	$ 0.05
Altera decision
Income Taxes
Income tax benefit	$ 33,100