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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. 29, 2019
Dec. 30, 2018
Dec. 29, 2019
Dec. 30, 2018
Segment Reporting Information [Line Items]        
Net sales $ 169,511 $ 167,711 $ 349,460 $ 349,322
Cost of sales 153,846 153,555 316,352 315,147
Gross profit 15,665 14,156 33,108 34,175
Segment depreciation expense 5,167 4,871 10,113 10,118
Segment Profit 20,832 19,027 43,221 44,293
Polyester [Member]        
Segment Reporting Information [Line Items]        
Net sales 82,750 85,789 171,445 185,920
Cost of sales 76,090 82,477 156,990 174,807
Gross profit 6,660 3,312 14,455 11,113
Segment depreciation expense 4,183 3,937 8,224 8,189
Segment Profit 10,843 7,249 22,679 19,302
Nylon [Member]        
Segment Reporting Information [Line Items]        
Net sales 17,084 22,647 37,286 50,596
Cost of sales 17,038 20,615 36,062 46,420
Gross profit 46 2,032 1,224 4,176
Segment depreciation expense 503 499 994 1,060
Segment Profit 549 2,531 2,218 5,236
Brazil [Member]        
Segment Reporting Information [Line Items]        
Net sales 20,862 24,234 45,034 51,147
Cost of sales 17,432 19,825 37,445 40,320
Gross profit 3,430 4,409 7,589 10,827
Segment depreciation expense 357 367 732 726
Segment Profit 3,787 4,776 8,321 11,553
Asia [Member]        
Segment Reporting Information [Line Items]        
Net sales 47,918 34,003 93,875 59,443
Cost of sales 42,401 29,679 84,076 51,587
Gross profit 5,517 4,324 9,799 7,856
Segment Profit 5,517 4,324 9,799 7,856
Other Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 897 1,038 1,820 2,216
Cost of sales 885 959 1,779 2,013
Gross profit 12 79 41 203
Segment depreciation expense 124 68 163 143
Segment Profit $ 136 $ 147 $ 204 $ 346