Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Thousands		12 Months Ended
	Apr. 28, 2020	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Subject to amortization:
Weighted-Average Amortization Period (Years)		7 years
Gross Amount		$ 277,013	$ 297,780
Accumulated Amortization		(158,035)	(146,050)
Total Other Intangible Assets
Gross Amount		277,013	309,533
Removal of fully amortized intangible assets			32,500
Amortization expense related to intangible assets		44,505	42,569	$ 37,734
Research and development
Total Other Intangible Assets
Amortization expense related to intangible assets		32,319	31,351	27,858
Selling, general and administrative
Total Other Intangible Assets
Amortization expense related to intangible assets		$ 12,186	11,218	$ 9,876
In-process research and development
Not subject to amortization:
Not subject to amortization			11,753
Core and developed technology
Subject to amortization:
Weighted-Average Amortization Period (Years)		8 years
Gross Amount		$ 238,092	243,739
Accumulated Amortization		$ (124,337)	(109,417)
Customer relationships
Subject to amortization:
Weighted-Average Amortization Period (Years)		4 years
Gross Amount		$ 27,450	41,270
Accumulated Amortization		$ (24,958)	(30,321)
Customer relationships | Redpine Signals
Subject to amortization:
Weighted-Average Amortization Period (Years)	2 years
Trademarks
Subject to amortization:
Weighted-Average Amortization Period (Years)		5 years
Gross Amount		$ 11,471	12,771
Accumulated Amortization		$ (8,740)	$ (6,312)
Trademarks | Redpine Signals
Subject to amortization:
Weighted-Average Amortization Period (Years)	2 years