Segment Information - Revenue and Long-lived Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Segment Reporting Information [Line Items]
Net sales	$ 1,297,919	$ 1,200,398	$ 1,103,262
Long-lived assets	297,976	329,801
Finance lease, right-of-use asset, net	$ 5,845	$ 6,547
Revenue Benchmark | Geographic Concentration Risk
Segment Reporting Information [Line Items]
Concentration risk, percentage threshold for disclosure	10.00%	10.00%	10.00%
United States
Segment Reporting Information [Line Items]
Net sales	$ 694,299	$ 596,844	$ 545,183
Long-lived assets	146,210	157,194
Finance lease, right-of-use asset, net	1,300	1,600
Germany
Segment Reporting Information [Line Items]
Net sales			115,400
Long-lived assets	64,182	71,114
Netherlands
Segment Reporting Information [Line Items]
Long-lived assets	42,422	47,476
Australia
Segment Reporting Information [Line Items]
Long-lived assets	29,924	33,536
Foreign Countries
Segment Reporting Information [Line Items]
Net sales	603,620	603,554	$ 558,079
Finance lease, right-of-use asset, net	4,500	4,900
Foreign Countries Other Than United States, Germany, Netherlands, and Australia
Segment Reporting Information [Line Items]
Long-lived assets	$ 15,238	$ 20,481