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Accumulated Other Comprehensive Loss - Summary of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jun. 29, 2025
Jun. 30, 2024
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning Balance $ (225,615) $ (211,024)
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]    
Other comprehensive loss (income) 889 2,601
Ending Balance (246,431) (225,615)
Foreign Currency Translation Adjustments    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning Balance 14,716 13,028
Other comprehensive loss (income) before reclassifications 1,170 2,794
Income Tax 0 0
Net other comprehensive loss (income) before reclassifications 1,170 2,794
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]    
Actuarial losses 0 0
Total reclassifications before tax 0 0
Income Tax 0 0
Net reclassifications 0 0
Other comprehensive loss (income) 1,170 2,794
Other comprehensive loss attributable to non-controlling interest 465 1,106
Ending Balance 15,421 14,716
Retirement and Postretirement Plans    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning Balance 973 1,166
Other comprehensive loss (income) before reclassifications 166 (10)
Income Tax (37) 2
Net other comprehensive loss (income) before reclassifications 129 (8)
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]    
Actuarial losses (529) (242)
Total reclassifications before tax (529) (242)
Income Tax 119 57
Net reclassifications (410) (185)
Other comprehensive loss (income) (281) (193)
Ending Balance 692 973
Accumulated Other Comprehensive Loss    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Beginning Balance 15,689 14,194
Other comprehensive loss (income) before reclassifications 1,336 2,784
Income Tax (37) 2
Net other comprehensive loss (income) before reclassifications 1,299 2,786
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]    
Actuarial losses (529) (242)
Total reclassifications before tax (529) (242)
Income Tax 119 57
Net reclassifications (410) (185)
Other comprehensive loss (income) 889 2,601
Other comprehensive loss attributable to non-controlling interest 465 1,106
Ending Balance $ 16,113 $ 15,689