Quarterly Results (Unaudited) - Schedule of Quarterly Financial Data (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended																12 Months Ended
	Jul. 03, 2022		Mar. 27, 2022		Dec. 26, 2021		Sep. 26, 2021		Jun. 27, 2021		Mar. 28, 2021		Dec. 27, 2020		Sep. 27, 2020		Jul. 03, 2022	Jun. 27, 2021	Jun. 28, 2020
Quarterly Financial Data [Abstract]
Net sales	$ 217,576	[1]	$ 200,780	[1]	$ 201,410	[1]	$ 195,992	[1]	$ 184,445	[2]	$ 178,866	[2]	$ 162,776	[2]	$ 141,505	[2]	$ 815,758	$ 667,592	$ 606,509
Gross profit	18,354	[3]	19,144	[3]	16,890	[3]	26,097	[3]	27,404	[4]	25,595	[4]	25,934	[4]	14,561	[4]	80,485	93,494	39,040
Net income (loss)	$ 3,496	[5]	$ 2,066	[5]	$ 929	[5]	$ 8,680	[5]	$ 13,419	[6]	$ 4,758	[6]	$ 7,464	[6]	$ 3,432	[6]	$ 15,171	$ 29,073	$ (57,237)
Basic	$ 0.19	[7]	$ 0.11	[7]	$ 0.05	[7]	$ 0.47	[7]	$ 0.73	[7]	$ 0.26	[7]	$ 0.40	[7]	$ 0.19	[7]	$ 0.82	$ 1.57	$ (3.10)
Diluted	$ 0.19	[7]	$ 0.11	[7]	$ 0.05	[7]	$ 0.46	[7]	$ 0.70	[7]	$ 0.25	[7]	$ 0.40	[7]	$ 0.18	[7]	$ 0.80	$ 1.54	$ (3.10)

[1] The fiscal quarter ending July 3, 2022 included an additional week of sales of approximately $8,700.

[2] Net sales for the fiscal quarters ended September 27, 2020 and December 27, 2020 includes adverse demand pressures from the COVID-19 pandemic.

[3] 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.

[4] 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.

[5] Net income for our domestic operations for all fiscal quarters of fiscal 2022 includes the adverse pressures on gross profit.

[6] Net income for the fiscal quarter ended September 27, 2020 includes adverse demand pressures from the COVID-19 pandemic. Net income for the fiscal quarter ended June 27, 2021 includes a recovery of non-income taxes in Brazil due to the favorable conclusion of litigation related to excess social program taxes for multiple prior years.

[7] Income per share is computed independently for each of the periods presented.  The sum of the income per share amounts for the fiscal quarters may not equal the total for the fiscal year.