Stock Based Compensation (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 29, 2018	Sep. 30, 2017	Sep. 29, 2018	Sep. 30, 2017
Share-based compensation expense and allocation by cost [Line Items]
Share-based Compensation	$ 46,264	$ 36,090	$ 125,121	$ 94,008
Cost of product and maintenance
Share-based compensation expense and allocation by cost [Line Items]
Share-based Compensation	736	612	1,932	1,632
Cost of services
Share-based compensation expense and allocation by cost [Line Items]
Share-based Compensation	1,078	895	2,825	2,373
Marketing and sales
Share-based compensation expense and allocation by cost [Line Items]
Share-based Compensation	9,528	7,422	25,410	19,667
Research and development
Share-based compensation expense and allocation by cost [Line Items]
Share-based Compensation	28,668	21,792	77,003	55,288
General and administrative
Share-based compensation expense and allocation by cost [Line Items]
Share-based Compensation	$ 6,254	$ 5,369	$ 17,951	$ 15,048