Revenue (Details)		12 Months Ended
		Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Revenue from External Customer [Line Items]
Percentage of product and maintenance revenue by product group		100.00%	100.00%	100.00%
Custom IC Design and Simulation [Member]
Revenue from External Customer [Line Items]
Percentage of product and maintenance revenue by product group		25.00%	25.00%	26.00%
Digital IC Design and Signoff [Member]
Revenue from External Customer [Line Items]
Percentage of product and maintenance revenue by product group		29.00%	30.00%	29.00%
Functional Verification, including Emulation and Prototyping Hardware [Member]
Revenue from External Customer [Line Items]
Percentage of product and maintenance revenue by product group	[1]	22.00%	23.00%	24.00%
IP [Member]
Revenue from External Customer [Line Items]
Percentage of product and maintenance revenue by product group		14.00%	13.00%	12.00%
System Design and Analysis [Member]
Revenue from External Customer [Line Items]
Percentage of product and maintenance revenue by product group		10.00%	9.00%	9.00%

[1] Includes immaterial amount of revenue accounted for under leasing arrangements