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Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands	Dec. 30, 2018	Jun. 24, 2018
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	$ 594,383	$ 601,807
Other current assets	18,120	6,529
Property, plant and equipment, net	205,053	205,516
Other non-current assets	4,546	6,070
Investments in unconsolidated affiliates	113,618	112,639
Operating Segments [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	441,414	436,645
Operating Segments [Member] | Polyester [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	283,249	284,261
Operating Segments [Member] | Nylon [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	61,517	57,378
Operating Segments [Member] | International [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Total assets	96,648	95,006
Corporate, Non-Segment [Member]
Segment Reporting Asset Reconciling Item [Line Items]
Other current assets	17,222	30,945
Property, plant and equipment, net	18,740	17,373
Other non-current assets	3,389	4,205
Investments in unconsolidated affiliates	$ 113,618	$ 112,639

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