Defined Contribution Plans - Additional Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Jul. 03, 2022	Jun. 27, 2021
Defined Contribution Plan Disclosure [Line Items]
Total DCP obligation	$ 2,359
Predecessor SERP		$ 3,177
Contribution for the First 3% [Member] | Retirement Savings Plan [Member]
Defined Contribution Plan Disclosure [Line Items]
Defined contribution plan, employer matching contribution percentage	100.00%
Defined contribution plan, employer matching contribution, percent of employees' gross pay	3.00%
Contribution for the Next 2% [Member] | Retirement Savings Plan [Member]
Defined Contribution Plan Disclosure [Line Items]
Defined contribution plan, employer matching contribution percentage	50.00%
Defined contribution plan, employer matching contribution, percent of employees' gross pay	2.00%