Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands	Sep. 29, 2019	Jun. 30, 2019
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	$ 591,040	$ 592,151
Other current assets	16,440	16,356
Other non-current assets	2,619	2,841
Investments in unconsolidated affiliates	102,601	114,320
Operating Segments [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	455,307	447,372
Operating Segments [Member] | Polyester [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	294,163	287,608
Operating Segments [Member] | Nylon [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	54,947	57,055
Operating Segments [Member] | Brazil [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	65,598	67,490
Operating Segments [Member] | Asia [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	40,599	35,219
Corporate, Non-Segment [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Other current assets	8,857	10,327
Other PP&E	19,278	18,664
Other non-current operating lease assets	3,366
Other non-current assets	1,631	1,468
Investments in unconsolidated affiliates	$ 102,601	$ 114,320