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. 03, 2022	Jun. 27, 2021
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:
Amortization of prior service credits		$ 8
Amortization of unrecognized net loss	$ (422)	(369)
SERP
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT):
Service cost	63	63
Interest cost	53	41
Plan settlements		65
Amortization of unrecognized net loss	86	10
Net periodic benefit cost (credit)	$ 202	$ 179
Benefit Obligations:
Benefit Obligations, Discount rate	4.26%	2.06%
Benefit Obligations, Rate of compensation increases	4.00%	3.00%
Net Periodic Benefit Cost:
Net Periodic Benefit Cost, Discount rate	2.06%	2.33%
Benefit Obligations, Rate of compensation increases	3.00%	3.00%
CHANGE IN PROJECTED BENEFIT OBLIGATION:
Benefit obligation at beginning of year	$ 2,797	$ 2,293
Service cost	63	63
Interest cost	53	41
Actuarial loss (gain)	265	631
Benefits paid	(14)	(231)
Benefit obligation at end of year	3,164	2,797
CHANGE IN PLAN ASSETS:
Employer contribution	14	231
Benefits paid	(14)	(231)
Funded status – accrued benefit obligations	(3,164)	(2,797)
AMOUNTS RECOGNIZED IN CONSOLIDATED BALANCE SHEETS:
Accrued payroll and benefits (current liabilities)	(1,905)	(463)
Accrued benefit obligations (long-term liabilities)	(1,259)	(2,334)
Net amount recognized	(3,164)	(2,797)
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:
Net periodic benefit cost	202	179
Net actuarial loss (gain)	265	631
Settlement loss		(65)
Amortization of unrecognized net loss	(86)	(10)
Total recognized in other comprehensive (income) loss, before tax	179	556
Total recognized in net periodic benefit cost and other comprehensive loss, before tax	381	735
Postretirement Benefits
COMPONENTS OF NET PERIODIC BENEFIT COST (CREDIT):
Service cost	12	13
Interest cost	13	16
Amortization of prior service cost (credit)		(8)
Amortization of unrecognized net loss	336	359
Net periodic benefit cost (credit)	$ 361	$ 380
Benefit Obligations:
Benefit Obligations, Discount rate	4.23%	2.01%
Net Periodic Benefit Cost:
Net Periodic Benefit Cost, Discount rate	2.01%	2.07%
CHANGE IN PROJECTED BENEFIT OBLIGATION:
Benefit obligation at beginning of year	$ 709	$ 821
Service cost	12	13
Interest cost	13	16
Actuarial loss (gain)	(77)	(26)
Benefits paid	(99)	(115)
Benefit obligation at end of year	558	709
CHANGE IN PLAN ASSETS:
Employer contribution	99	115
Benefits paid	(99)	(115)
Funded status – accrued benefit obligations	(558)	(709)
AMOUNTS RECOGNIZED IN CONSOLIDATED BALANCE SHEETS:
Accrued payroll and benefits (current liabilities)	(95)	(110)
Accrued benefit obligations (long-term liabilities)	(463)	(599)
Net amount recognized	(558)	(709)
CHANGES IN PLAN ASSETS AND BENEFIT OBLIGATIONS RECOGNIZED IN OTHER COMPREHENSIVE INCOME:
Net periodic benefit cost	361	380
Net actuarial loss (gain)	(77)	(26)
Amortization of prior service credits		8
Amortization of unrecognized net loss	(336)	(359)
Total recognized in other comprehensive (income) loss, before tax	(413)	(377)
Total recognized in net periodic benefit cost and other comprehensive loss, before tax	$ (52)	$ 3