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Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 03, 2023
May 28, 2022
May 29, 2021
Disaggregation of Revenue [Line Items]      
Net sales $ 4,087.1 $ 3,946.0 $ 2,465.1
Single performance obligation | Product revenue      
Disaggregation of Revenue [Line Items]      
Net sales 3,816.5 3,660.1  
Multiple performance obligations | Product revenue      
Disaggregation of Revenue [Line Items]      
Net sales 254.1 265.3  
Multiple performance obligations | Service revenue      
Disaggregation of Revenue [Line Items]      
Net sales 3.4 8.6  
Other      
Disaggregation of Revenue [Line Items]      
Net sales $ 13.1 $ 12.0