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Retirement Plans and Postretirement Costs - Summary of Supplemental Executive Retirement Plan and Postretirement Plans Income and Expense (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jun. 30, 2024
Jul. 02, 2023
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT):    
Plan settlements $ 0 $ 217
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:    
Amortization of unrecognized net loss (242) (342)
SERP    
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT):    
Service cost 84 80
Interest cost 90 101
Plan settlements   217
Amortization of unrecognized net loss 46 99
Net periodic benefit cost (credit) $ 220 $ 497
Benefit Obligations:    
Benefit Obligations, Discount rate 5.21% 5.07%
Benefit Obligations, Rate of compensation increases 5.46% 4.61%
Net Periodic Benefit Cost:    
Net Periodic Benefit Cost, Discount rate 5.07% 4.26%
Benefit Obligations, Rate of compensation increases 4.00% 4.00%
CHANGE IN PROJECTED BENEFIT OBLIGATION:    
Benefit obligation at beginning of year $ 2,305 $ 3,164
Service cost 84 80
Interest cost 90 101
Actuarial loss (gain) 118 (163)
Plan settlements (1,200) (863)
Benefits paid (14) (14)
Benefit obligation at end of year 2,583 2,305
CHANGE IN PLAN ASSETS:    
Employer contribution 14 877
Benefits paid (14) (877)
Funded status - accrued benefit obligations (2,583) (2,305)
AMOUNTS RECOGNIZED IN CONSOLIDATED BALANCE SHEETS:    
Accrued payroll and benefits (current liabilities) (1,204) (1,099)
Accrued benefit obligations (long-term liabilities) (1,379) (1,206)
Net amount recognized (2,583) (2,305)
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:    
Net periodic benefit cost 220 497
Net actuarial loss (gain) 118 (163)
Plan settlement   (217)
Amortization of unrecognized net loss (46) (99)
Total recognized in other comprehensive loss (income), before tax 72 (479)
Total recognized in net periodic benefit cost and other comprehensive loss, before tax 292 18
Postretirement Benefits    
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT):    
Service cost 9 10
Interest cost 63 62
Amortization of unrecognized net loss 196 243
Net periodic benefit cost (credit) 268 315
CHANGE IN PROJECTED BENEFIT OBLIGATION:    
Benefit obligation at beginning of year 1,296 1,477
Service cost 9 10
Interest cost 63 62
Actuarial loss (gain) (128) (179)
Benefits paid (82) (74)
Benefit obligation at end of year 1,158 1,296
CHANGE IN PLAN ASSETS:    
Employer contribution 82 74
Benefits paid (82) (74)
Funded status - accrued benefit obligations (1,158) (1,296)
AMOUNTS RECOGNIZED IN CONSOLIDATED BALANCE SHEETS:    
Accrued payroll and benefits (current liabilities) (108) (140)
Accrued benefit obligations (long-term liabilities) (1,050) (1,157)
Net amount recognized (1,158) (1,297)
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:    
Net periodic benefit cost 268 315
Net actuarial loss (gain) (128) (179)
Amortization of unrecognized net loss (196) (243)
Total recognized in other comprehensive loss (income), before tax (324) (422)
Total recognized in net periodic benefit cost and other comprehensive loss, before tax $ (56) $ (107)
Postretirement Health    
Benefit Obligations:    
Benefit Obligations, Discount rate 5.23% 5.06%
Net Periodic Benefit Cost:    
Net Periodic Benefit Cost, Discount rate 5.06% 4.23%
Postretirement Life    
Benefit Obligations:    
Benefit Obligations, Discount rate 5.45% 5.20%
Net Periodic Benefit Cost:    
Net Periodic Benefit Cost, Discount rate 5.20% 4.57%