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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. 02, 2019
Mar. 03, 2018
Mar. 02, 2019
Mar. 03, 2018
Disaggregation of Revenue [Line Items]        
Net sales $ 619.0 $ 578.4 $ 1,896.2 $ 1,763.2
Single performance obligation | Product revenue        
Disaggregation of Revenue [Line Items]        
Net sales 524.5   1,599.0  
Multiple performance obligations | Product revenue        
Disaggregation of Revenue [Line Items]        
Net sales 89.0   281.7  
Multiple performance obligations | Service revenue        
Disaggregation of Revenue [Line Items]        
Net sales 2.8   8.7  
Other        
Disaggregation of Revenue [Line Items]        
Net sales $ 2.7   $ 6.8