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Commitments and Contingencies - Narrative (Details)
 3 Months Ended 12 Months Ended
Jun. 26, 2022
USD ($)
endowedFacultyChair
Jun. 26, 2022
USD ($)
Jun. 27, 2021
USD ($)
Jun. 28, 2020
USD ($)
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   $ 285,100,000    
Reimbursement of property and equipment purchases from long-term incentive agreement   139,000,000.0 $ 10,700,000 $ 0
Cash proceeds from grants $ 149,700,000 149,700,000    
Receivables 132,500,000 132,500,000    
Other assets 2,900,000 2,900,000    
Minimum        
Loss Contingencies [Line Items]        
Annual cost of GDA 2,700,000      
Maximum        
Loss Contingencies [Line Items]        
Potential total grant amount of GDA 500,000,000 $ 500,000,000    
Annual cost of GDA $ 5,200,000