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Business Segment Information - Reconciliations of Segment Gross Profit to Consolidated Income (loss) Before Income Taxes (Details) - USD ($) $ in Thousands | 3 Months Ended | 12 Months Ended
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Jun. 27, 2021 | [1] | Mar. 28, 2021 | [1] | Dec. 27, 2020 | [1] | Sep. 27, 2020 | [1] | Jun. 28, 2020 | [2] | Mar. 29, 2020 | [2] | Dec. 29, 2019 | [2] | Sep. 29, 2019 | [2] | Jun. 27, 2021 | Jun. 28, 2020 | Jun. 30, 2019 | Jun. 30, 2019
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Gross profit | $ 27,404 | $ 25,595 | $ 25,934 | $ 14,561 | $ (9,451) | $ 15,383 | $ 15,665 | $ 17,443 | $ 93,494 | $ 39,040 | $ 66,308 |
Selling, general and administrative expenses |  |  |  |  |  |  |  |  | 51,334 | 43,814 | 52,690 |
(Benefit) provision for bad debts |  |  |  |  |  |  |  |  | (1,316) | 1,739 | 308 |
Other operating expense, net |  |  |  |  |  |  |  |  | 4,865 | 2,308 | 2,350 |
Operating income (loss) |  |  |  |  |  |  |  |  | 38,611 | (8,821) | 10,960 |
Interest income |  |  |  |  |  |  |  |  | (603) | (722) | (628) |
Interest expense |  |  |  |  |  |  |  |  | 3,323 | 4,779 | 5,414 |
Equity in (earnings) loss of unconsolidated affiliates |  |  |  |  |  |  |  |  | (739) | 477 | (3,968) |
Recovery of non-income taxes |  |  |  |  |  |  |  |  | (9,717) |  |  |
Gain on sale of investment in unconsolidated affiliate |  |  |  |  |  |  |  |  |  | (2,284) |  |
Impairment of investment in unconsolidated affiliate |  |  |  |  |  |  |  |  |  | 45,194 |  |
Loss on extinguishment of debt |  |  |  |  |  |  |  |  |  |  | 131 |
Income (loss) before income taxes |  |  |  |  |  |  |  |  | 46,347 | (56,265) | 10,011 |
Polyester |  |  |  |  |  |  |  |  |  |  |  |
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Gross profit |  |  |  |  |  |  |  |  | 33,444 | 12,088 | 23,819 |
Nylon [Member] |  |  |  |  |  |  |  |  |  |  |  |
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Gross profit |  |  |  |  |  |  |  |  | 2,367 | (978) | 7,896 |
Brazil [Member] |  |  |  |  |  |  |  |  |  |  |  |
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Gross profit |  |  |  |  |  |  |  |  | 31,695 | 11,195 | 18,579 |
Asia [Member] |  |  |  |  |  |  |  |  |  |  |  |
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Gross profit |  |  |  |  |  |  |  |  | 25,393 | 16,683 | 15,700 | $ 15,700
Other Segments [Member] |  |  |  |  |  |  |  |  |  |  |  |
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Gross profit |  |  |  |  |  |  |  |  | $ 595 | $ 52 | $ 314 |
[1] | Gross profit for the fiscal quarter ended September 27, 2020 includes adverse demand pressures from the COVID-19 pandemic. Gross profit for the fiscal quarters ended December 27, 2020, March 28, 2021 and June 27, 2021 includes the benefit of exceptional performance by the Brazil Segment primarily due to higher conversion margin and market share capture due to agility and responsiveness during demand recovery in Brazil.
[2] | Gross loss for the fiscal quarter ended June 28, 2020 includes the adverse impact of lower fixed cost absorption in connection with the COVID-19 pandemic.

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