Accumulated Other Comprehensive Loss - Summary of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Mar. 28, 2021	Mar. 29, 2020	Mar. 28, 2021	Mar. 29, 2020
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	$ (201,473)	$ (188,849)	$ (175,441)	$ (187,816)
Other Comprehensive Loss Before Reclassifications	697	6,245	(5,419)	6,059
Net Other Comprehensive Loss Before Reclassifications	697	6,245	(5,419)	6,059
Reclassifications:
Prior service credits	2	7	6	22
Unrecognized Net Loss	(94)	(103)	(277)	(309)
Total Reclassifications Before Tax	(92)	(96)	(271)	(287)
Reclassifications, Income Tax	23	22	63	67
Net Reclassifications	(69)	(74)	(208)	(220)
Other Comprehensive Loss (Income)	628	6,171	(5,627)	5,839
Ending balance	(207,494)	(187,255)	(207,494)	(187,255)
Foreign Currency Translation Adjustments
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	15,654	16,381	20,136	16,317
Other Comprehensive Loss Before Reclassifications	697	6,245	(5,419)	6,059
Net Other Comprehensive Loss Before Reclassifications	697	6,245	(5,419)	6,059
Reclassifications:
Other Comprehensive Loss (Income)	697	6,245	(5,419)	6,059
Other Comprehensive Loss Attributable to Non- Controlling Interest	409	2,387	(1,225)	2,137
Ending balance	15,942	20,239	15,942	20,239
Retirement and Postretirement Benefit Plans
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	1,838	2,105	1,977	2,251
Reclassifications:
Prior service credits	2	7	6	22
Unrecognized Net Loss	(94)	(103)	(277)	(309)
Total Reclassifications Before Tax	(92)	(96)	(271)	(287)
Reclassifications, Income Tax	23	22	63	67
Net Reclassifications	(69)	(74)	(208)	(220)
Other Comprehensive Loss (Income)	(69)	(74)	(208)	(220)
Ending balance	1,769	2,031	1,769	2,031
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	17,492	18,486	22,113	18,568
Reclassifications:
Ending balance	17,711	22,270	17,711	22,270
AOCI Including Portion Attributable to Noncontrolling Interest
Reclassifications:
Other Comprehensive Loss (Income)	628	6,171	(5,627)	5,839
AOCI Attributable to Noncontrolling Interest
Reclassifications:
Other Comprehensive Loss Attributable to Non- Controlling Interest	$ 409	$ 2,387	$ (1,225)	$ 2,137