Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Jun. 25, 2017	Mar. 26, 2017	Dec. 25, 2016	Sep. 25, 2016	Jun. 26, 2016	Mar. 27, 2016	Dec. 27, 2015	Sep. 27, 2015	Jun. 25, 2017	Jun. 26, 2016	Jun. 28, 2015
Segment Reporting Information [Line Items]
Net sales	$ 171,250	$ 160,896	$ 155,155	$ 159,969	$ 163,858	$ 161,278	$ 156,336	$ 162,165	$ 647,270	$ 643,637	$ 687,121
Cost of sales									553,106	550,005	596,416
Gross profit	$ 27,357	$ 21,130	$ 22,130	$ 23,547	$ 27,471	$ 23,364	$ 21,813	$ 20,984	94,164	93,632	90,705
Segment depreciation expense									17,803	14,792	14,847
Segment Profit (Loss)									111,967	108,424	105,552
Polyester [Member]
Segment Reporting Information [Line Items]
Net sales									355,740	383,167	396,239
Cost of sales									315,655	333,638	345,462
Gross profit									40,085	49,529	50,777
Segment depreciation expense									13,921	11,188	10,579
Segment Profit (Loss)									54,006	60,717	61,356
Nylon [Member]
Segment Reporting Information [Line Items]
Net sales									112,704	131,715	149,612
Cost of sales									100,633	113,906	130,644
Gross profit									12,071	17,809	18,968
Segment depreciation expense									2,125	1,899	1,798
Segment Profit (Loss)									14,196	19,708	20,766
International [Member]
Segment Reporting Information [Line Items]
Net sales									173,686	122,554	134,992
Cost of sales									131,087	95,666	113,556
Gross profit									42,599	26,888	21,436
Segment depreciation expense									1,119	885	1,997
Segment Profit (Loss)									43,718	27,773	23,433
Other Segments [Member]
Segment Reporting Information [Line Items]
Net sales									5,140	6,201	6,278
Cost of sales									5,731	6,795	6,754
Gross profit									(591)	(594)	(476)
Segment depreciation expense									638	820	473
Segment Profit (Loss)									$ 47	$ 226	$ (3)