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Business Segment Information - Selected Financial Information for Polyester, Nylon, International and Other Segments (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Mar. 29, 2020
Mar. 31, 2019
Mar. 29, 2020
Mar. 31, 2019
Segment Reporting Information [Line Items]        
Net sales $ 170,994 $ 179,989 $ 520,454 $ 529,311
Cost of sales 155,611 166,198 471,963 481,345
Gross profit 15,383 13,791 48,491 47,966
Segment depreciation expense 5,330 4,841 15,443 14,959
Segment Profit 20,713 18,632 63,934 62,925
Polyester [Member]        
Segment Reporting Information [Line Items]        
Net sales 89,767 95,745 261,212 281,665
Cost of sales 82,735 90,941 239,725 265,748
Gross profit 7,032 4,804 21,487 15,917
Segment depreciation expense 4,301 3,858 12,525 12,047
Segment Profit 11,333 8,662 34,012 27,964
Nylon [Member]        
Segment Reporting Information [Line Items]        
Net sales 20,567 25,563 57,853 76,159
Cost of sales 20,234 23,251 56,296 69,671
Gross profit 333 2,312 1,557 6,488
Segment depreciation expense 471 516 1,465 1,576
Segment Profit 804 2,828 3,022 8,064
Brazil [Member]        
Segment Reporting Information [Line Items]        
Net sales 21,060 25,110 66,094 76,257
Cost of sales 17,644 22,334 55,089 62,654
Gross profit 3,416 2,776 11,005 13,603
Segment depreciation expense 421 420 1,153 1,146
Segment Profit 3,837 3,196 12,158 14,749
Asia [Member]        
Segment Reporting Information [Line Items]        
Net sales 38,621 32,571 132,496 92,014
Cost of sales 34,038 28,730 118,114 80,317
Gross profit 4,583 3,841 14,382 11,697
Segment Profit 4,583 3,841 14,382 11,697
Other Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 979 1,000 2,799 3,216
Cost of sales 960 942 2,739 2,955
Gross profit 19 58 60 261
Segment depreciation expense 137 47 300 190
Segment Profit $ 156 $ 105 $ 360 $ 451