Segment Information - Operating Lease Right-of-Use Assets (Details) - USD ($) $ in Thousands	Jan. 01, 2023	Jan. 02, 2022
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	$ 81,644	$ 90,561
Operating Segments
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	72,395	80,403
Operating Segments | AMS
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	14,140	12,662
Operating Segments | EAAA
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	58,255	67,741
Corporate, Non-Segment
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	$ 9,249	$ 10,158