Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands	Sep. 25, 2016	Jun. 26, 2016
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	$ 547,973	$ 525,442
Other current assets	5,632	4,790
Property, plant and equipment, net	194,261	185,101
Other non-current assets	4,947	4,909
Investments in unconsolidated affiliates	117,239	117,412
Operating Segments [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	399,797	379,896
Operating Segments [Member] | Polyester [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	256,130	243,105
Operating Segments [Member] | Nylon [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	62,358	63,141
Operating Segments [Member] | International [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	81,309	73,650
Corporate, Non-Segment [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Other current assets	9,874	6,674
Property, plant and equipment, net	16,245	16,597
Other non-current assets	4,818	4,863
Investments in unconsolidated affiliates	$ 117,239	$ 117,412