Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Dec. 24, 2017	Dec. 25, 2016	Dec. 24, 2017	Dec. 25, 2016
Segment Reporting Information [Line Items]
Net sales	$ 167,478	$ 155,155	$ 331,720	$ 315,124
Cost of sales	144,802	133,025	285,752	269,447
Gross profit	22,676	22,130	45,968	45,677
Segment depreciation expense	4,986	4,386	9,871	8,502
Segment Profit (Loss)	27,662	26,516	55,839	54,179
Polyester [Member]
Segment Reporting Information [Line Items]
Net sales	90,316	86,671	178,054	171,356
Cost of sales	81,740	76,200	160,565	152,435
Gross profit	8,576	10,471	17,489	18,921
Segment depreciation expense	3,973	3,384	7,840	6,492
Segment Profit (Loss)	12,549	13,855	25,329	25,413
Nylon [Member]
Segment Reporting Information [Line Items]
Net sales	25,103	28,302	51,930	56,797
Cost of sales	22,027	25,679	45,540	51,037
Gross profit	3,076	2,623	6,390	5,760
Segment depreciation expense	552	530	1,089	1,040
Segment Profit (Loss)	3,628	3,153	7,479	6,800
International [Member]
Segment Reporting Information [Line Items]
Net sales	51,046	38,868	99,705	84,212
Cost of sales	40,072	29,419	77,733	62,493
Gross profit	10,974	9,449	21,972	21,719
Segment depreciation expense	397	228	813	474
Segment Profit (Loss)	11,371	9,677	22,785	22,193
Other Segments [Member]
Segment Reporting Information [Line Items]
Net sales	1,013	1,314	2,031	2,759
Cost of sales	963	1,727	1,914	3,482
Gross profit	50	(413)	117	(723)
Segment depreciation expense	64	244	129	496
Segment Profit (Loss)	$ 114	$ (169)	$ 246	$ (227)