Condensed Consolidated Income Statements - USD ($) shares in Thousands, $ in Thousands	3 Months Ended
	Apr. 02, 2022	Apr. 03, 2021
Revenues [Abstract]
Revenues	$ 901,766	$ 736,028
Costs and Expenses:
Marketing and sales	140,186	132,826
Research and development	290,895	270,992
General and administrative	48,937	39,952
Amortization of acquired intangibles	4,964	4,631
Restructuring	12	(277)
Total costs and expenses	582,837	532,091
Income from operations	318,929	203,937
Interest expense	(4,108)	(4,217)
Other income (expenses), net	(4,900)	2,701
Income before provision for income taxes	309,921	202,421
Provision for income taxes	74,586	15,252
Net income	$ 235,335	$ 187,169
Net income per share - basic (usd per share)	$ 0.86	$ 0.68
Net Income per share - diluted (usd per share)	$ 0.85	$ 0.67
Weighted average common shares outstanding - basic (in shares)	272,431	274,021
Weighted average common shares outstanding - diluted (in shares)	276,918	280,140
Product and maintenance [Member]
Revenues [Abstract]
Revenues	$ 846,244	$ 699,054
Costs and Expenses:
Cost of sales	72,795	64,906
Service [Member]
Revenues [Abstract]
Revenues	55,522	36,974
Costs and Expenses:
Cost of sales	$ 25,048	$ 19,061