Segment Information - Revenue and Long-lived Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Segment Reporting Information [Line Items]
Net sales	$ 1,200,398	$ 1,103,262	$ 1,343,029
Long-lived assets	329,801	359,036
Finance lease, right-of-use asset, net	6,547	6,138
United States
Segment Reporting Information [Line Items]
Net sales	596,844	545,183	681,868
Long-lived assets	157,194	163,983
Finance lease, right-of-use asset, net	1,600	1,800
Germany
Segment Reporting Information [Line Items]
Net sales	115,712	115,402	117,418
Long-lived assets	71,114	79,294
Netherlands
Segment Reporting Information [Line Items]
Long-lived assets	47,476	51,190
Foreign Countries Other Than United States And Germany
Segment Reporting Information [Line Items]
Net sales	487,842	442,677	$ 543,743
Foreign Countries Other Than United States, Germany And Netherlands
Segment Reporting Information [Line Items]
Long-lived assets	54,017	64,569
Other foreign countries
Segment Reporting Information [Line Items]
Finance lease, right-of-use asset, net	$ 4,900	$ 4,300