Stock Compensation Plans and Stock Based Compensation (Details 1) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Jan. 01, 2022
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 325,611	$ 270,439	$ 210,090
Cost of product and maintenance [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	4,500	3,818	3,375
Cost of services [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	5,728	4,851	4,161
Marketing and sales [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	66,304	54,771	43,264
Research and development [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	194,709	158,937	131,247
General and administrative [Member]
Stock based compensation expense and allocation by cost
Stock-based compensation	$ 54,370	$ 48,062	$ 28,043