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Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($)
$ in Millions
3 Months Ended
Sep. 03, 2022
Aug. 28, 2021
Disaggregation of Revenue [Line Items]    
Net Sales: $ 1,078.8 $ 789.7
Single performance obligation | Product revenue    
Disaggregation of Revenue [Line Items]    
Net Sales: 1,007.7 736.3
Multiple performance obligations | Product revenue    
Disaggregation of Revenue [Line Items]    
Net Sales: 66.5 49.6
Multiple performance obligations | Service revenue    
Disaggregation of Revenue [Line Items]    
Net Sales: 1.2 1.9
Other    
Disaggregation of Revenue [Line Items]    
Net Sales: $ 3.4 $ 1.9