Segment Information - Reconciliation of Segment Assets (Details) - USD ($) $ in Thousands	Jan. 01, 2023	Jan. 02, 2022
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	$ 1,266,503	$ 1,330,057
Operating Segments
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	1,241,031	1,344,267
Operating Segments | AMS
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	588,110	652,423
Operating Segments | EAAA
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	652,921	691,844
Corporate, Non-Segment
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	110,495	146,204
Eliminations
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	$ (85,023)	$ (160,414)