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Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 27, 2021
Nov. 28, 2020
Nov. 27, 2021
Nov. 28, 2020
Disaggregation of Revenue [Line Items]        
Net Sales: $ 1,026.3 $ 626.3 $ 1,816.0 $ 1,253.0
Single performance obligation | Product revenue        
Disaggregation of Revenue [Line Items]        
Net Sales: 942.3 544.3 1,678.7 1,087.6
Multiple performance obligations | Product revenue        
Disaggregation of Revenue [Line Items]        
Net Sales: 78.5 77.2 128.0 155.7
Multiple performance obligations | Service revenue        
Disaggregation of Revenue [Line Items]        
Net Sales: 2.9 2.9 4.8 6.0
Other        
Disaggregation of Revenue [Line Items]        
Net Sales: $ 2.6 $ 1.9 $ 4.5 $ 3.7