Stock Compensation Plans and Stock Based Compensation (Details 1) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 92,341	$ 83,792	$ 66,285
Cost of product and maintenance [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	2,436	2,244	1,596
Cost of services [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	3,561	3,280	2,321
Marketing and sales [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	21,654	20,580	15,642
Research and development [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	49,755	43,173	32,999
General and administrative [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 14,935	$ 14,515	$ 13,727