Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands	Sep. 24, 2017	Jun. 25, 2017
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	$ 581,104	$ 571,503
Other current assets	6,921	6,468
Property, plant and equipment, net	203,586	203,388
Other non-current assets	2,413	2,771
Investments in unconsolidated affiliates	115,427	119,513
Operating Segments [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	417,937	409,432
Operating Segments [Member] | Polyester [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	266,795	270,819
Operating Segments [Member] | Nylon [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	59,875	57,789
Operating Segments [Member] | International [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	91,267	80,824
Corporate, Non-Segment [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Other current assets	32,503	27,375
Property, plant and equipment, net	15,067	14,904
Other non-current assets	170	279
Investments in unconsolidated affiliates	$ 115,427	$ 119,513