Stock Compensation Plans and Stock Based Compensation (Details 1) - USD ($) $ in Thousands	12 Months Ended
	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 181,547	$ 167,715	$ 130,023
Cost of product and maintenance [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	2,759	2,631	2,218
Cost of services [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	3,510	3,714	3,232
Marketing and sales [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	39,088	34,665	26,838
Research and development [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	114,656	104,353	77,222
General and administrative [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 21,534	$ 22,352	$ 20,513