Segment Information - Reconciliation of Segment Assets (Details) - USD ($) $ in Thousands	Jan. 02, 2022	Jan. 03, 2021
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	$ 1,330,057	$ 1,306,011
Operating Segments
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	1,344,267	1,482,363
Operating Segments | AMS
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	652,423	800,068
Operating Segments | EAAA
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	691,844	682,295
Corporate, Non-Segment
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	146,204	111,073
Eliminations
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	$ (160,414)	$ (287,425)