Business Segment Information - Reconciliation of Segment Depreciation and Amortization Expense to Consolidated Depreciation and Amortization Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 25, 2017	Jun. 26, 2016	Jun. 28, 2015
Segment Reporting Other Significant Reconciling Item [Line Items]
Depreciation and amortization expense	$ 20,368	$ 17,528	$ 18,043
Operating Segments [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Depreciation and amortization expense	17,803	14,792	14,847
Operating Segments [Member] | Polyester [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Depreciation and amortization expense	13,921	11,188	10,579
Operating Segments [Member] | Nylon [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Depreciation and amortization expense	2,125	1,899	1,798
Operating Segments [Member] | International [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Depreciation and amortization expense	1,119	885	1,997
Operating Segments [Member] | Other Segments [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Depreciation and amortization expense	638	820	473
Other Depreciation and Amortization Expense [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Depreciation and amortization expense	$ 2,565	$ 2,736	$ 3,196