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
	Jul. 03, 2022	[1]	Mar. 27, 2022	[1]	Dec. 26, 2021	[1]	Sep. 26, 2021	[1]	Jun. 27, 2021	[2]	Mar. 28, 2021	[2]	Dec. 27, 2020	[2]	Sep. 27, 2020	[2]	Jul. 03, 2022	Jun. 27, 2021	Jun. 28, 2020
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit	$ 18,354		$ 19,144		$ 16,890		$ 26,097		$ 27,404		$ 25,595		$ 25,934		$ 14,561		$ 80,485	$ 93,494	$ 39,040
Selling, general and administrative expenses																	52,489	51,334	43,814
(Benefit) provision for bad debts																	(445)	(1,316)	1,739
Other operating (income) expense, net																	(158)	4,865	2,308
Operating income (loss)																	28,599	38,611	(8,821)
Interest income																	(1,524)	(603)	(722)
Interest expense																	3,085	3,323	4,779
Equity in (earnings) loss of unconsolidated affiliates																	(605)	(739)	477
Recovery of non-income taxes, net																	815	(9,717)
Gain on sale of investment in unconsolidated affiliate																			(2,284)
Impairment of investment in unconsolidated affiliate																			45,194
Income (loss) before income taxes																	26,828	46,347	(56,265)
Americas [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit																	24,468	36,406	11,162
Brazil [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit																	27,141	31,695	11,195
Asia [Member]
Segment Reporting Reconciling Item For Operating Profit Loss From Segment To Consolidated [Line Items]
Gross profit																	$ 28,876	$ 25,393	$ 16,683

[1] Gross profit for our domestic operations for all fiscal quarters of fiscal 2022 includes adverse pressures from (i) higher raw material costs, (ii) rising input costs, and (iii) the weakening of labor productivity.

[2] 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.