Business Segment Information - Reconciliation of Segment Capital Expenditures to Consolidated Capital Expenditures (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 24, 2018	Jun. 25, 2017	Jun. 26, 2016
Segment Reporting Other Significant Reconciling Item [Line Items]
Capital expenditures	$ 25,029	$ 33,190	$ 52,337
Operating Segments [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Capital expenditures	21,070	31,423	49,820
Operating Segments [Member] | Polyester [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Capital expenditures	16,605	25,442	44,517
Operating Segments [Member] | Nylon [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Capital expenditures	1,366	1,247	2,548
Operating Segments [Member] | International [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Capital expenditures	3,099	4,734	2,755
Corporate, Non-Segment [Member]
Segment Reporting Other Significant Reconciling Item [Line Items]
Capital expenditures	$ 3,959	$ 1,767	$ 2,517