Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands	Dec. 25, 2016	Jun. 26, 2016
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	$ 550,844	$ 525,442
Other current assets	4,931	4,790
Property, plant and equipment, net	197,528	185,101
Other non-current assets	605	4,909
Investments in unconsolidated affiliates	115,841	117,412
Operating Segments [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	408,101	379,896
Operating Segments [Member] | Polyester [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	258,110	243,105
Operating Segments [Member] | Nylon [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	61,203	63,141
Operating Segments [Member] | International [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	88,788	73,650
Corporate, Non-Segment [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Other current assets	13,181	6,674
Property, plant and equipment, net	13,520	16,597
Other non-current assets	201	4,863
Investments in unconsolidated affiliates	$ 115,841	$ 117,412