Goodwill and Intangible Assets - Changes in Carrying Amounts of Goodwill (Details) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Apr. 05, 2020	Jan. 01, 2023	Jan. 02, 2022
Goodwill [Roll Forward]
Balance at beginning of year		$ 147,025	$ 165,777
Impairment	$ (116,500)	(29,384)
Foreign currency translation		(15,224)	(18,752)
Balance at end of year		102,417	147,025
Operating Segments | AMS
Goodwill [Roll Forward]
Balance at beginning of year		108,505	122,344
Impairment		0
Foreign currency translation		(6,088)	(13,839)
Balance at end of year		102,417	108,505
Operating Segments | EAAA
Goodwill [Roll Forward]
Balance at beginning of year		38,520	43,433
Impairment		(29,384)
Foreign currency translation		(9,136)	(4,913)
Balance at end of year		$ 0	$ 38,520