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Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Dec. 30, 2018
Dec. 24, 2017
Dec. 30, 2018
Dec. 24, 2017
Segment Reporting Information [Line Items]        
Net sales $ 167,711 $ 167,478 $ 349,322 $ 331,720
Cost of sales 153,555 144,802 315,147 285,752
Gross profit 14,156 22,676 34,175 45,968
Segment depreciation expense 4,871 4,986 10,118 9,871
Segment Profit 19,027 27,662 44,293 55,839
Polyester [Member]        
Segment Reporting Information [Line Items]        
Net sales 85,789 90,316 185,920 178,054
Cost of sales 83,820 81,740 177,223 160,565
Gross profit 1,969 8,576 8,697 17,489
Segment depreciation expense 3,937 3,973 8,189 7,840
Segment Profit 5,906 12,549 16,886 25,329
Nylon [Member]        
Segment Reporting Information [Line Items]        
Net sales 22,647 25,103 50,596 51,930
Cost of sales 20,615 22,027 46,420 45,540
Gross profit 2,032 3,076 4,176 6,390
Segment depreciation expense 499 552 1,060 1,089
Segment Profit 2,531 3,628 5,236 7,479
International [Member]        
Segment Reporting Information [Line Items]        
Net sales 58,237 51,046 110,590 99,705
Cost of sales 48,161 40,072 89,491 77,733
Gross profit 10,076 10,974 21,099 21,972
Segment depreciation expense 367 397 726 813
Segment Profit 10,443 11,371 21,825 22,785
Other Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 1,038 1,013 2,216 2,031
Cost of sales 959 963 2,013 1,914
Gross profit 79 50 203 117
Segment depreciation expense 68 64 143 129
Segment Profit $ 147 $ 114 $ 346 $ 246