Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands	Dec. 29, 2019	Jun. 30, 2019
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	$ 595,207	$ 592,151
Other current assets	18,311	16,356
Other non-current assets	2,420	2,841
Investments in unconsolidated affiliates	102,261	114,320
Operating Segments [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	453,317	447,372
Operating Segments [Member] | Polyester [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	289,321	287,608
Operating Segments [Member] | Nylon [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	51,888	57,055
Operating Segments [Member] | Brazil [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	66,020	67,490
Operating Segments [Member] | Asia [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	46,088	35,219
Corporate, Non-Segment [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Other current assets	12,359	10,327
Other PP&E	23,993	18,664
Other non-current operating lease assets	1,626
Other non-current assets	1,651	1,468
Investments in unconsolidated affiliates	$ 102,261	$ 114,320