Segment Information - Reconciliation of Segment Assets (Details) - USD ($) $ in Thousands	Oct. 02, 2022	Jan. 02, 2022
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	$ 1,240,633	$ 1,330,057
Operating Segments
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	1,191,768	1,344,267
Operating Segments | AMS
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	556,558	652,423
Operating Segments | EAAA
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	635,210	691,844
Corporate, Non-Segment
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	114,204	146,204
Eliminations
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	$ (65,339)	$ (160,414)