Organization and Summary of Significant Accounting Policies - Summary of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 27, 2021	Jun. 28, 2020
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	$ (175,441)	$ (187,816)
Other comprehensive loss before reclassifications	(6,384)	6,178
Other comprehensive loss before reclassifications, Income Tax	(348)	(363)
Net other comprehensive loss before Reclassifications	(6,732)	5,815
Reclassifications:
Prior service credits	8	29
Actuarial losses	(369)	(412)
Total reclassifications before tax	(361)	(383)
Retirement and Postretirement Plans Reclassifications, Income Tax	84	90
Net reclassifications	(277)	(293)
Other Comprehensive (Income) Loss	(7,009)	5,522
Ending balance	(213,433)	(175,441)
Foreign Currency Translation Adjustments
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	20,136	16,317
Other comprehensive loss before reclassifications	(6,924)	6,153
Other comprehensive loss before reclassifications, Income Tax	(220)	(357)
Net other comprehensive loss before Reclassifications	(7,144)	5,796
Reclassifications:
Other Comprehensive (Income) Loss	(7,144)	5,796
Other comprehensive loss (income) attributable to non-controlling interest	(1,693)	1,977
Ending balance	14,685	20,136
Retirement and Postretirement Benefit Plans
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	1,977	2,251
Other comprehensive loss before reclassifications	540	25
Other comprehensive loss before reclassifications, Income Tax	(128)	(6)
Net other comprehensive loss before Reclassifications	412	19
Reclassifications:
Prior service credits	8	29
Actuarial losses	(369)	(412)
Total reclassifications before tax	(361)	(383)
Retirement and Postretirement Plans Reclassifications, Income Tax	84	90
Net reclassifications	(277)	(293)
Other Comprehensive (Income) Loss	135	(274)
Ending balance	2,112	1,977
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	22,113	18,568
Reclassifications:
Ending balance	16,797	22,113
AOCI Including Portion Attributable to Noncontrolling Interest
Reclassifications:
Other Comprehensive (Income) Loss	(7,009)	5,522
AOCI Attributable to Noncontrolling Interest
Reclassifications:
Other comprehensive loss (income) attributable to non-controlling interest	$ (1,693)	$ 1,977