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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
Jul. 02, 2023
Jul. 03, 2022
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT):    
Plan settlements $ 217  
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:    
Amortization of unrecognized net loss (342) $ (409)
SERP    
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT):    
Service cost 80 63
Interest cost 101 53
Plan settlements 217  
Amortization of unrecognized net loss 99 86
Net periodic benefit cost (credit) $ 497 $ 202
Benefit Obligations:    
Benefit Obligations, Discount rate 5.07% 4.26%
Benefit Obligations, Rate of compensation increases 4.61% 4.00%
Net Periodic Benefit Cost:    
Net Periodic Benefit Cost, Discount rate 4.26% 2.06%
Benefit Obligations, Rate of compensation increases 4.00% 3.00%
CHANGE IN PROJECTED BENEFIT OBLIGATION:    
Benefit obligation at beginning of year $ 3,164 $ 2,797
Service cost 80 63
Interest cost 101 53
Actuarial loss (gain) (163) 265
Plan settlements (863)  
Benefits paid (14) (14)
Benefit obligation at end of year 2,305 3,164
CHANGE IN PLAN ASSETS:    
Employer contribution 877 14
Benefits paid (877) (14)
Funded status - accrued benefit obligations (2,305) (3,164)
AMOUNTS RECOGNIZED IN CONSOLIDATED BALANCE SHEETS:    
Accrued payroll and benefits (current liabilities) (1,100) (1,905)
Accrued benefit obligations (long-term liabilities) (1,206) (1,259)
Net amount recognized (2,306) (3,164)
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:    
Net periodic benefit cost 497 202
Net actuarial loss (gain) (163) 265
Settlement loss (217)  
Amortization of unrecognized net loss (99) (86)
Total recognized in other comprehensive (income) loss, before tax (479) 179
Total recognized in net periodic benefit cost and other comprehensive loss, before tax 18 381
Postretirement Benefits    
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT):    
Service cost 10 12
Interest cost 62 43
Amortization of unrecognized net loss 243 323
Net periodic benefit cost (credit) 315 378
CHANGE IN PROJECTED BENEFIT OBLIGATION:    
Benefit obligation at beginning of year 1,477 1,868
Service cost 10 12
Interest cost 62 43
Actuarial loss (gain) (179) (347)
Benefits paid (74) (99)
Benefit obligation at end of year 1,296 1,477
CHANGE IN PLAN ASSETS:    
Employer contribution 74 99
Benefits paid (74) (99)
Funded status - accrued benefit obligations (1,296) (1,477)
AMOUNTS RECOGNIZED IN CONSOLIDATED BALANCE SHEETS:    
Accrued payroll and benefits (current liabilities) (140) (148)
Accrued benefit obligations (long-term liabilities) (1,157) (1,329)
Net amount recognized (1,297) (1,477)
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:    
Net periodic benefit cost 315 378
Net actuarial loss (gain) (179) (347)
Amortization of unrecognized net loss (243) (323)
Total recognized in other comprehensive (income) loss, before tax (422) (670)
Total recognized in net periodic benefit cost and other comprehensive loss, before tax $ (107) $ (292)
Postretirement Health    
Benefit Obligations:    
Benefit Obligations, Discount rate 5.06% 4.23%
Net Periodic Benefit Cost:    
Net Periodic Benefit Cost, Discount rate 4.23% 2.01%
Postretirement Life    
Benefit Obligations:    
Benefit Obligations, Discount rate 5.20% 4.57%
Net Periodic Benefit Cost:    
Net Periodic Benefit Cost, Discount rate 4.57% 2.64%