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Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($)
$ in Thousands
Sep. 26, 2021
Jun. 27, 2021
Segment Reporting Asset Reconciling Item [Line Items]    
Total assets $ 548,705 $ 555,368
Other current assets 12,816 12,364
Other operating lease assets 1,023 1,116
Other non-current assets 14,061 14,625
Operating Segments [Member]    
Segment Reporting Asset Reconciling Item [Line Items]    
Total assets 500,361 481,044
Operating Segments [Member] | Polyester    
Segment Reporting Asset Reconciling Item [Line Items]    
Total assets 299,708 285,939
Operating Segments [Member] | Nylon [Member]    
Segment Reporting Asset Reconciling Item [Line Items]    
Total assets 43,355 68,034
Operating Segments [Member] | Brazil [Member]    
Segment Reporting Asset Reconciling Item [Line Items]    
Total assets 84,881 85,950
Operating Segments [Member] | Asia [Member]    
Segment Reporting Asset Reconciling Item [Line Items]    
Total assets 72,417 41,121
Corporate, Non-Segment [Member]    
Segment Reporting Asset Reconciling Item [Line Items]    
Other current assets 23,692 48,972
Other PP&E 20,253 21,175
Other non-current assets $ 3,376 $ 3,061