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Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands | Jun. 27, 2021 | Jun. 28, 2020 | Jun. 30, 2019
--- | --- | --- | ---
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | $ 555,368 | $ 474,162 | $ 592,151
Other current assets | 12,364 | 11,763 |
Property, plant and equipment, net | 201,696 | 204,246 |
Other operating lease assets | 1,116 | 1,503 |
Other non-current assets | 14,625 | 4,131 |
Investments in unconsolidated affiliates | 2,159 | 2,171 |
Operating Segments [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 481,044 | 396,935 |
Operating Segments [Member] | Polyester |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 285,939 | 263,496 |
Operating Segments [Member] | Nylon [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 68,034 | 42,020 |
Operating Segments [Member] | Brazil [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 85,950 | 49,967 |
Operating Segments [Member] | Asia [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 41,121 | 41,452 |
Corporate, Non-Segment [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Other current assets | 48,972 | 48,600 |
Property, plant and equipment, net | 21,175 | 23,676 |
Other non-current assets | 902 | 1,277 |
Investments in unconsolidated affiliates | $ 2,159 | $ 2,171 |

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