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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, 2024 | Apr. 02, 2023 | Mar. 31, 2024 | Apr. 02, 2023
Segment Reporting Information [Line Items] |  |  |  |
Net sales | $ 148,996 | $ 156,738 | $ 424,757 | $ 472,469
Cost of sales | 144,232 | 147,085 | 418,932 | 464,253
Gross profit | 4,764 | 9,653 | 5,825 | 8,216
Segment depreciation expense | 6,314 | 6,123 | 18,925 | 18,006
Segment (Loss) Profit | 11,078 | 15,776 | 24,750 | 26,222
Americas [Member] |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net sales | 91,130 | 101,946 | 253,252 | 294,832
Cost of sales | 94,644 | 98,788 | 270,884 | 309,627
Gross profit | (3,514) | 3,158 | (17,632) | (14,795)
Segment depreciation expense | 5,473 | 5,574 | 16,478 | 16,596
Segment (Loss) Profit | 1,959 | 8,732 | (1,154) | 1,801
Brazil [Member] |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net sales | 29,573 | 27,380 | 85,543 | 91,946
Cost of sales | 25,736 | 24,998 | 76,400 | 81,447
Gross profit | 3,837 | 2,382 | 9,143 | 10,499
Segment depreciation expense | 841 | 549 | 2,447 | 1,410
Segment (Loss) Profit | 4,678 | 2,931 | 11,590 | 11,909
Asia [Member] |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net sales | 28,293 | 27,412 | 85,962 | 85,691
Cost of sales | 23,852 | 23,299 | 71,648 | 73,179
Gross profit | 4,441 | 4,113 | 14,314 | 12,512
Segment (Loss) Profit | $ 4,441 | $ 4,113 | $ 14,314 | $ 12,512

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