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Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($) $ in Thousands	3 Months Ended												12 Months Ended
	Jun. 24, 2018		Mar. 25, 2018		Dec. 24, 2017		Sep. 24, 2017		Jun. 25, 2017	Mar. 26, 2017	Dec. 25, 2016	Sep. 25, 2016	Jun. 24, 2018	Jun. 25, 2017	Jun. 26, 2016
Segment Reporting Information [Line Items]
Net sales	$ 181,325		$ 165,867		$ 167,478		$ 164,242		$ 171,250	$ 160,896	$ 155,155	$ 159,969	$ 678,912	$ 647,270	$ 643,637
Cost of sales													592,484	553,106	550,005
Gross profit	$ 23,904	[1]	$ 16,556	[1]	$ 22,676	[1]	$ 23,292	[1]	$ 27,357	$ 21,130	$ 22,130	$ 23,547	86,428	94,164	93,632
Segment depreciation expense													19,994	17,803	14,792
Segment Profit (Loss)													106,422	111,967	108,424
Polyester [Member]
Segment Reporting Information [Line Items]
Net sales													364,169	355,740	383,167
Cost of sales													333,078	315,655	333,638
Gross profit													31,091	40,085	49,529
Segment depreciation expense													15,893	13,921	11,188
Segment Profit (Loss)													46,984	54,006	60,717
Nylon [Member]
Segment Reporting Information [Line Items]
Net sales													102,639	112,704	131,715
Cost of sales													92,155	100,633	113,906
Gross profit													10,484	12,071	17,809
Segment depreciation expense													2,197	2,125	1,899
Segment Profit (Loss)													12,681	14,196	19,708
International [Member]
Segment Reporting Information [Line Items]
Net sales													207,884	173,686	122,554
Cost of sales													163,300	131,087	95,666
Gross profit													44,584	42,599	26,888
Segment depreciation expense													1,648	1,119	885
Segment Profit (Loss)													46,232	43,718	27,773
Other Segments [Member]
Segment Reporting Information [Line Items]
Net sales													4,220	5,140	6,201
Cost of sales													3,951	5,731	6,795
Gross profit													269	(591)	(594)
Segment depreciation expense													256	638	820
Segment Profit (Loss)													$ 525	$ 47	$ 226
[1] Gross profit for the fiscal quarter ended March 25, 2018 includes the adverse impact of sustained raw material cost increases that could not be effectively offset with corresponding selling price increases.

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