Stock Compensation Plans and Stock Based Compensation (Details 1) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2016	Jan. 02, 2016	Jan. 03, 2015
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 109,217	$ 92,341	$ 83,792
Cost of product and maintenance [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	1,995	2,436	2,244
Cost of services [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	2,911	3,561	3,280
Marketing and sales [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	22,700	21,654	20,580
Research and development [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	64,061	49,755	43,173
General and administrative [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 17,550	$ 14,935	$ 14,515