Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	Jul. 02, 2022	Jun. 30, 2021
Deferred tax assets:
Other payroll and benefits	$ 384	$ 1,182
Inventory reserves	604	931
Self-insurance reserves	2,083	2,318
Share-based compensation	1,981	1,800
Other current assets	1,007	1,160
Operating lease liabilities	41,503	52,008
Property and equipment	2,992	727
Disallowed interest expense	6,671	2,954
Net operating loss and tax credits	54,327	41,833
Other noncurrent assets	435	556
Total gross deferred tax assets	111,987	105,469
Deferred tax liabilities:
Inventory costs	3,855	2,924
Prepaid supplies	1,436	1,353
Operating lease - right of use	38,681	47,627
Total gross deferred tax liabilities	43,972	51,904
Valuation allowance	$ (68,015)	(53,683)
Net deferred tax liability		$ (118)