Accumulated Other Comprehensive Loss - Summary of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	3 Months Ended
	Sep. 26, 2021	Sep. 27, 2020
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	$ (213,433)	$ (175,441)
Other Comprehensive Loss Before Reclassifications	712	(1,699)
Net Other Comprehensive Loss Before Reclassifications	712	(1,699)
Reclassifications:
Prior Service Credits		2
Unrecognized Net Loss	(106)	(92)
Total Reclassifications Before Tax	(106)	(90)
Reclassifications, Income Tax	25	20
Net Reclassifications	(81)	(70)
Other Comprehensive Loss	631	(1,769)
Ending balance	(213,439)	(187,020)
Foreign Currency Translation Adjustments
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	14,685	20,136
Other Comprehensive Loss Before Reclassifications	712	(1,699)
Net Other Comprehensive Loss Before Reclassifications	712	(1,699)
Reclassifications:
Other Comprehensive Loss	712	(1,699)
Other Comprehensive Loss Attributable to Non- Controlling Interest	150	(321)
Ending balance	15,247	18,758
Retirement and Postretirement Benefit Plans
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	2,112	1,977
Reclassifications:
Prior Service Credits		2
Unrecognized Net Loss	(106)	(92)
Total Reclassifications Before Tax	(106)	(90)
Reclassifications, Income Tax	25	20
Net Reclassifications	(81)	(70)
Other Comprehensive Loss	(81)	(70)
Ending balance	2,031	1,907
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	16,797	22,113
Reclassifications:
Ending balance	17,278	20,665
AOCI Including Portion Attributable to Noncontrolling Interest
Reclassifications:
Other Comprehensive Loss	631	(1,769)
AOCI Attributable to Noncontrolling Interest
Reclassifications:
Other Comprehensive Loss Attributable to Non- Controlling Interest	$ 150	$ (321)