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Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 27, 2021
Feb. 29, 2020
Feb. 27, 2021
Feb. 29, 2020
Disaggregation of Revenue [Line Items]        
Net sales $ 590.5 $ 665.7 $ 1,843.6 $ 2,010.8
Single performance obligation | Product revenue        
Disaggregation of Revenue [Line Items]        
Net sales 531.2 561.1 1,618.8 1,699.9
Multiple performance obligations | Product revenue        
Disaggregation of Revenue [Line Items]        
Net sales 54.9 98.9 210.5 294.5
Multiple performance obligations | Service revenue        
Disaggregation of Revenue [Line Items]        
Net sales 2.0 2.5 8.1 7.8
Other        
Disaggregation of Revenue [Line Items]        
Net sales $ 2.4 $ 3.2 $ 6.2 $ 8.6