Commitments and Contingencies - Narrative (Details)	3 Months Ended	12 Months Ended
	Jun. 27, 2021 USD ($) endowedFacultyChair	Jun. 27, 2021 USD ($)	Jun. 28, 2020 USD ($)	Jun. 30, 2019 USD ($)
Loss Contingencies [Line Items]
GDA term	13 years
Duration of annual commitment fee payment of GDA	6 years
Number of endowed faculty chairs created | endowedFacultyChair	2
Reduction in property plant and equipment		$ 27,100,000
Reimbursement of property and equipment purchases from long-term incentive agreement		10,700,000	$ 0	$ 0
Receivables	$ 4,600,000	4,600,000
Other assets	11,800,000	11,800,000
Minimum
Loss Contingencies [Line Items]
Annual cost of GDA	2,500,000
Maximum
Loss Contingencies [Line Items]
Potential total grant amount of GDA	500,000,000.0	$ 500,000,000.0
Annual cost of GDA	$ 5,200,000