Accumulated Other Comprehensive Loss - Summary of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	3 Months Ended
	Sep. 29, 2024	Oct. 01, 2023
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	$ (225,615)	$ (211,024)
Reclassifications:
Other comprehensive loss	2,504	603
Ending Balance	(227,060)	(215,301)
Accumulated Foreign Currency Adjustment Including Portion Attributable to Noncontrolling Interest
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	14,716	13,028
Other comprehensive loss before reclassifications	2,760	649
Net other comprehensive loss before reclassifications	2,760	649
Reclassifications:
Other comprehensive loss	2,760	649
Other comprehensive loss attributable to non-controlling interest	1,089	270
Ending Balance	16,387	13,407
Retirement and Postretirement Benefit Plans
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	973	1,166
Other comprehensive loss before reclassifications	(283)
Income Tax	63
Net other comprehensive loss before reclassifications	(220)
Reclassifications:
Unrecognized net loss	(46)	(60)
Reclassifications, Income tax	10	14
Net reclassifications	(36)	(46)
Other comprehensive loss	(256)	(46)
Ending Balance	717	1,120
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	15,689	14,194
Other comprehensive loss before reclassifications	2,477	649
Income Tax	63
Net other comprehensive loss before reclassifications	2,540	649
Reclassifications:
Unrecognized net loss	(46)	(60)
Reclassifications, Income tax	10	14
Net reclassifications	(36)	(46)
Other comprehensive loss	2,504	603
Other comprehensive loss attributable to non-controlling interest	1,089	270
Ending Balance	$ 17,104	$ 14,527