Income Taxes - Schedule of Components of Deferred Tax Valuation Allowance (Details) - USD ($) $ in Thousands	Jul. 03, 2022	Jun. 27, 2021	Jun. 28, 2020
Valuation Allowance [Line Items]
Deferred tax valuation allowance	$ (31,667)	$ (36,980)	$ (37,439)
Capital Loss Carryforward
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(16,318)	(17,429)	(13,791)
Tax Credit [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	(10,779)	(17,215)	(17,111)
NOL Carryforwards [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance	$ (4,570)	$ (2,336)	(2,542)
Investments, Including Unconsolidated Affiliates [Member]
Valuation Allowance [Line Items]
Deferred tax valuation allowance			$ (3,995)