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Accumulated Other Comprehensive Loss by Component - Summary of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 3 Months Ended
Sep. 28, 2025
Sep. 29, 2024
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]    
Balance, beginning of period $ (246,431) $ (225,615)
Balance, end of period (255,779) (227,060)
Foreign Currency Translation Adjustments    
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]    
Balance, beginning of period 15,421 14,716
Other comprehensive (income) loss before reclassifications (1,013) 2,760
Other comprehensive (income) loss attributable to non-controlling interest (385) 1,089
Balance, end of period 14,793 16,387
Retirement and Postretirement Benefit Plans    
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]    
Balance, beginning of period 692 973
Other comprehensive (income) loss before reclassifications 0 (220)
Unrecognized net income (32) (36)
Balance, end of period 660 717
Accumulated Other Comprehensive Loss    
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]    
Balance, beginning of period 16,113 15,689
Balance, end of period $ 15,453 $ 17,104