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Business Segment Information - Reconciliation of Segment Total Assets to Consolidated Total Assets (Details) - USD ($) $ in Thousands | Mar. 28, 2021 | Jun. 28, 2020
--- | --- | ---
Segment Reporting Asset Reconciling Item [Line Items] |  |
Total assets | $ 528,372 | $ 474,162
Other current assets | 8,475 | 11,763
Other operating lease assets | 1,210 | 1,503
Other non-current assets | 7,598 | 4,131
Operating Segments [Member] |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |
Total assets | 438,431 | 396,935
Operating Segments [Member] | Polyester [Member] |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |
Total assets | 271,682 | 263,496
Operating Segments [Member] | Nylon [Member] |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |
Total assets | 42,357 | 42,020
Operating Segments [Member] | Brazil [Member] |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |
Total assets | 62,898 | 49,967
Operating Segments [Member] | Asia [Member] |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |
Total assets | 61,494 | 41,452
Corporate, Non-Segment [Member] |  |
Segment Reporting Asset Reconciling Item [Line Items] |  |
Other current assets | 62,460 | 48,600
Other PP&E | 22,036 | 23,676
Other non-current assets | $ 4,235 | $ 3,448

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