Other Intangible Assets, Net- Gross carrying amount and accumulated amortization (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022
Other Intangible Assets, Net
Gross Amount	$ 212,127	$ 277,013
Accumulated Amortization	(127,220)	(158,035)
Decrease in gross intangible assets due to the assets were fully amortized	$ 64,900
Weighted Average
Other Intangible Assets, Net
Weighted-Average Amortization Period (Years)	8 years
Developed technology
Other Intangible Assets, Net
Gross Amount	$ 211,217	238,092
Accumulated Amortization	$ (126,424)	(124,337)
Developed technology | Weighted Average
Other Intangible Assets, Net
Weighted-Average Amortization Period (Years)	8 years
Trademarks
Other Intangible Assets, Net
Gross Amount	$ 910	11,471
Accumulated Amortization	$ (796)	(8,740)
Trademarks | Weighted Average
Other Intangible Assets, Net
Weighted-Average Amortization Period (Years)	12 years
Customer relationships
Other Intangible Assets, Net
Gross Amount		27,450
Accumulated Amortization		$ (24,958)