Stock Compensation Plans and Stock Based Compensation (Details 1) - USD ($) $ in Thousands	12 Months Ended
	Dec. 29, 2018	Dec. 30, 2017	Dec. 31, 2016
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 167,715	$ 130,023	$ 109,217
Cost of product and maintenance [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	2,631	2,218	1,995
Cost of services [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	3,714	3,232	2,911
Marketing and sales [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	34,665	26,838	22,700
Research and development [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	104,353	77,222	64,061
General and administrative [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 22,352	$ 20,513	$ 17,550