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Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 04, 2023
Feb. 26, 2022
Mar. 04, 2023
Feb. 26, 2022
Disaggregation of Revenue [Line Items]        
Net Sales: $ 984.7 $ 1,029.5 $ 3,130.4 $ 2,845.5
Single performance obligation | Product revenue        
Disaggregation of Revenue [Line Items]        
Net Sales: 919.7 953.3 2,924.0 2,632.0
Multiple performance obligations | Product revenue        
Disaggregation of Revenue [Line Items]        
Net Sales: 60.9 69.9 193.7 197.9
Multiple performance obligations | Service revenue        
Disaggregation of Revenue [Line Items]        
Net Sales: 0.8 2.5 2.6 7.3
Other        
Disaggregation of Revenue [Line Items]        
Net Sales: $ 3.3 $ 3.8 $ 10.1 $ 8.3