Segment Information - Reconciliation of Segment Assets (Details) - USD ($) $ in Thousands	Oct. 03, 2021	Jan. 03, 2021
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	$ 1,289,242	$ 1,306,011
Operating Segments
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	1,505,814	1,482,363
Operating Segments | AMS
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	808,015	800,068
Operating Segments | EAAA
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	697,799	682,295
Corporate, Non-Segment
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	123,196	111,073
Eliminations
Segment Reporting, Asset Reconciling Item [Line Items]
Assets	$ (339,768)	$ (287,425)