Segment Information - Operating Lease Right-of-Use Assets (Details) - USD ($) $ in Thousands	Jan. 02, 2022	Jan. 03, 2021
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	$ 90,561	$ 98,013
Operating Segments
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	80,403	86,210
Operating Segments | AMS
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	12,662	11,945
Operating Segments | EAAA
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	67,741	74,265
Corporate, Non-Segment
Segment Reporting Information [Line Items]
Operating lease right-of-use assets	$ 10,158	$ 11,803