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Accumulated Other Comprehensive Loss - Summary of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Dec. 29, 2024
Dec. 31, 2023
Dec. 29, 2024
Dec. 31, 2023
Accumulated Other Comprehensive Income Loss [Line Items]        
Beginning Balance $ (227,060) $ (215,301) $ (225,615) $ (211,024)
Reclassifications:        
Other comprehensive loss 1,209 (1,061) 3,713 (458)
Ending Balance (228,155) (217,641) (228,155) (217,641)
Accumulated Foreign Currency Adjustment Including Portion Attributable to Noncontrolling Interest        
Accumulated Other Comprehensive Income Loss [Line Items]        
Beginning Balance 16,387 13,407 14,716 13,028
Other comprehensive loss before reclassifications 1,245 (1,014) 4,005 (365)
Net other comprehensive loss before reclassifications 1,245 (1,014) 4,005 (365)
Reclassifications:        
Other comprehensive loss 1,245 (1,014) 4,005 (365)
Other comprehensive loss attributable to non-controlling interest 486 (412) 1,575 (142)
Ending Balance 17,146 12,805 17,146 12,805
Retirement and Postretirement Benefit Plans        
Accumulated Other Comprehensive Income Loss [Line Items]        
Beginning Balance 717 1,120 973 1,166
Other comprehensive loss before reclassifications     0  
Income Tax     0  
Net other comprehensive loss before reclassifications     0  
Reclassifications:        
Unrecognized net loss (46) (61) (375) (121)
Reclassifications, Income tax 10 14 83 28
Net reclassifications (36) (47) (292) (93)
Other comprehensive loss (36) (47) (292) (93)
Ending Balance 681 1,073 681 1,073
Accumulated Other Comprehensive Loss        
Accumulated Other Comprehensive Income Loss [Line Items]        
Beginning Balance 17,104 14,527 15,689 14,194
Other comprehensive loss before reclassifications 1,245 (1,014) 4,005 (365)
Income Tax     0  
Net other comprehensive loss before reclassifications 1,245 (1,014) 4,005 (365)
Reclassifications:        
Unrecognized net loss (46) (61) (375) (121)
Reclassifications, Income tax 10 14 83 28
Net reclassifications (36) (47) (292) (93)
Other comprehensive loss 1,209 (1,061) 3,713 (458)
Other comprehensive loss attributable to non-controlling interest 486 (412) 1,575 (142)
Ending Balance $ 17,827 $ 13,878 $ 17,827 $ 13,878