Stock Based Compensation (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 28, 2019	Sep. 29, 2018	Sep. 28, 2019	Sep. 29, 2018
Share-based compensation expense and allocation by cost [Line Items]
Stock-based compensation expense	$ 48,279	$ 46,264	$ 134,789	$ 125,121
Cost of product and maintenance
Share-based compensation expense and allocation by cost [Line Items]
Stock-based compensation expense	731	736	2,064	1,932
Cost of services
Share-based compensation expense and allocation by cost [Line Items]
Stock-based compensation expense	931	1,078	2,626	2,825
Marketing and sales
Share-based compensation expense and allocation by cost [Line Items]
Stock-based compensation expense	10,424	9,528	29,039	25,410
Research and development
Share-based compensation expense and allocation by cost [Line Items]
Stock-based compensation expense	30,458	28,668	85,015	77,003
General and administrative
Share-based compensation expense and allocation by cost [Line Items]
Stock-based compensation expense	$ 5,735	$ 6,254	$ 16,045	$ 17,951