Stock Compensation Plans and Stock Based Compensation (Details 1) - USD ($) $ in Thousands	12 Months Ended
	Dec. 30, 2017	Dec. 31, 2016	Jan. 02, 2016
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 130,023	$ 109,217	$ 92,341
Cost of product and maintenance [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	2,218	1,995	2,436
Cost of services [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	3,232	2,911	3,561
Marketing and sales [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	26,838	22,700	21,654
Research and development [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	77,222	64,061	49,755
General and administrative [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 20,513	$ 17,550	$ 14,935