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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. 31, 2019 | Mar. 25, 2018 | Mar. 31, 2019 | Mar. 25, 2018
Segment Reporting Information [Line Items] |  |  |  |
Net sales | $ 179,989 | $ 165,867 | $ 529,311 | $ 497,587
Cost of sales | 166,198 | 149,311 | 481,345 | 435,063
Gross profit | 13,791 | 16,556 | 47,966 | 62,524
Segment depreciation expense | 4,841 | 5,084 | 14,959 | 14,955
Segment Profit | 18,632 | 21,640 | 62,925 | 77,479
Polyester [Member] |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net sales | 95,745 | 88,763 | 281,665 | 266,817
Cost of sales | 92,221 | 83,948 | 269,444 | 244,513
Gross profit | 3,524 | 4,815 | 12,221 | 22,304
Segment depreciation expense | 3,858 | 4,022 | 12,047 | 11,862
Segment Profit | 7,382 | 8,837 | 24,268 | 34,166
Nylon [Member] |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net sales | 25,563 | 24,036 | 76,159 | 75,966
Cost of sales | 23,251 | 23,023 | 69,671 | 68,563
Gross profit | 2,312 | 1,013 | 6,488 | 7,403
Segment depreciation expense | 516 | 560 | 1,576 | 1,649
Segment Profit | 2,828 | 1,573 | 8,064 | 9,052
International [Member] |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net sales | 57,681 | 51,989 | 168,271 | 151,694
Cost of sales | 49,784 | 41,317 | 139,275 | 119,050
Gross profit | 7,897 | 10,672 | 28,996 | 32,644
Segment depreciation expense | 420 | 436 | 1,146 | 1,249
Segment Profit | 8,317 | 11,108 | 30,142 | 33,893
Other Segments [Member] |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net sales | 1,000 | 1,079 | 3,216 | 3,110
Cost of sales | 942 | 1,023 | 2,955 | 2,937
Gross profit | 58 | 56 | 261 | 173
Segment depreciation expense | 47 | 66 | 190 | 195
Segment Profit | $ 105 | $ 122 | $ 451 | $ 368

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