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Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands | Jun. 28, 2020 | Jun. 30, 2019 | Jun. 24, 2018
--- | --- | --- | ---
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | $ 474,162 | $ 592,151 | $ 601,807
Other current assets | 11,763 | 16,356 |
Property, plant and equipment, net | 204,246 | 206,787 |
Other operating lease assets | 1,503 |  |
Other non-current assets | 548 | 671 |
Investments in unconsolidated affiliates | 2,171 | 114,320 |
Operating Segments [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 396,935 | 447,372 |
Operating Segments [Member] | Polyester [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 263,496 | 287,608 |
Operating Segments [Member] | Nylon [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 42,020 | 57,055 |
Operating Segments [Member] | Brazil [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 49,967 | 67,490 |
Operating Segments [Member] | Asia [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Total assets | 41,452 | 35,219 |
Corporate, Non-Segment [Member] |  |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |  |
Other current assets | 48,600 | 10,327 |
Property, plant and equipment, net | 23,676 | 18,664 |
Other non-current assets | 1,277 | 1,468 |
Investments in unconsolidated affiliates | $ 2,171 | $ 114,320 |

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