Segment Information - Operating Segments (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Segment Reporting Information [Line Items]
Net sales	$ 1,261,498	$ 1,297,919	$ 1,200,398
Depreciation and amortization	40,774	40,337	46,345
Operating Segments | AMS
Segment Reporting Information [Line Items]
Net sales	736,955	753,740	651,216
AOI	87,789	102,370	85,014
Depreciation and amortization	17,989	16,827	17,963
Operating Segments | EAAA
Segment Reporting Information [Line Items]
Net sales	524,543	544,179	549,182
AOI	28,608	30,058	37,268
Depreciation and amortization	$ 22,785	$ 23,510	$ 28,382