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Segment Information - Reconciliation of Segment Assets (Details) - USD ($)
$ in Thousands
Jul. 03, 2022
Jan. 02, 2022
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets $ 1,313,447 $ 1,330,057
Operating Segments    
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets 1,238,070 1,344,267
Operating Segments | AMS    
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets 563,895 652,423
Operating Segments | EAAA    
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets 674,175 691,844
Corporate, Non-Segment    
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets 127,056 146,204
Eliminations    
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets $ (51,679) $ (160,414)