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Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Dec. 01, 2018
Dec. 02, 2017
Dec. 01, 2018
Dec. 02, 2017
Disaggregation of Revenue [Line Items]        
Net sales $ 652.6 $ 604.6 $ 1,277.3 $ 1,184.8
Single performance obligation | Product revenue        
Disaggregation of Revenue [Line Items]        
Net sales 539.4   1,074.6  
Multiple performance obligations | Product revenue        
Disaggregation of Revenue [Line Items]        
Net sales 107.9   192.7  
Multiple performance obligations | Service revenue        
Disaggregation of Revenue [Line Items]        
Net sales 3.2   5.9  
Other        
Disaggregation of Revenue [Line Items]        
Net sales $ 2.1   $ 4.1