Condensed Consolidated Income Statements - USD ($) shares in Thousands, $ in Thousands	3 Months Ended
	Apr. 03, 2021	Mar. 28, 2020
Revenues [Abstract]
Revenues	$ 736,028	$ 617,957
Costs and Expenses:
Marketing and sales	132,826	125,744
Research and development	270,992	241,668
General and administrative	39,952	33,592
Amortization of acquired intangibles	4,631	4,206
Restructuring and other credits	(277)	(1,067)
Total costs and expenses	532,091	478,606
Income from operations	203,937	139,351
Interest expense	(4,217)	(4,637)
Other income (expense), net	2,701	(4,534)
Income before provision for income taxes	202,421	130,180
Provision for income taxes	15,252	6,192
Net income	$ 187,169	$ 123,988
Net income per share - basic (usd per share)	$ 0.68	$ 0.45
Net Income per share - diluted (usd per share)	$ 0.67	$ 0.44
Weighted average common shares outstanding - basic (in shares)	274,021	273,476
Weighted average common shares outstanding - diluted (in shares)	280,140	279,265
Product and maintenance [Member]
Revenues [Abstract]
Revenues	$ 699,054	$ 581,699
Costs and Expenses:
Cost of sales	64,906	55,446
Service [Member]
Revenues [Abstract]
Revenues	36,974	36,258
Costs and Expenses:
Cost of sales	$ 19,061	$ 19,017