Accumulated Other Comprehensive Loss - Summary of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	3 Months Ended
	Oct. 01, 2023	Oct. 02, 2022
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	$ (211,024)	$ (219,947)
Reclassifications:
Other Comprehensive Loss	603	612
Ending balance	(215,301)	(219,409)
Accumulated Foreign Currency Adjustment Including Portion Attributable to Noncontrolling Interest
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	13,028	16,733
Other Comprehensive Income Before Reclassifications	649	682
Net Other Comprehensive Loss Before Reclassifications	649	682
Reclassifications:
Other Comprehensive Loss	649	682
Other Comprehensive Income (Loss) Attributable to Non- Controlling Interest	270	(56)
Ending balance	13,407	17,471
Retirement and Postretirement Benefit Plans
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	1,166	1,855
Reclassifications:
Unrecognized Net Loss	(60)	(91)
Reclassifications, Income Tax	14	21
Net Reclassifications	(46)	(70)
Other Comprehensive Loss	(46)	(70)
Ending balance	1,120	1,785
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	14,194	18,588
Other Comprehensive Income Before Reclassifications	649	682
Net Other Comprehensive Loss Before Reclassifications	649	682
Reclassifications:
Unrecognized Net Loss	(60)	(91)
Reclassifications, Income Tax	14	21
Net Reclassifications	(46)	(70)
Other Comprehensive Loss	603	612
Other Comprehensive Income (Loss) Attributable to Non- Controlling Interest	270	(56)
Ending balance	$ 14,527	$ 19,256