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Significant Accounting and Reporting Policies - Schedule of Property, Plan and Equipment (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 03, 2023
May 28, 2022
Property, Plant and Equipment [Line Items]    
Accumulated depreciation $ 1,034.4 $ 928.2
Property and equipment, net 536.3 581.5
Commitments for future capital purchases 44.8  
Machinery and equipment    
Property, Plant and Equipment [Line Items]    
Property, gross $ 1,066.6 1,027.0
Machinery and equipment | Minimum    
Property, Plant and Equipment [Line Items]    
Estimated useful lives 3 years  
Machinery and equipment | Maximum    
Property, Plant and Equipment [Line Items]    
Estimated useful lives 10 years  
Buildings    
Property, Plant and Equipment [Line Items]    
Estimated useful lives 40 years  
Software Development    
Property, Plant and Equipment [Line Items]    
Estimated useful lives 10 years  
Land and improvements    
Property, Plant and Equipment [Line Items]    
Property, gross $ 55.1 54.4
Buildings and improvements    
Property, Plant and Equipment [Line Items]    
Property, gross 393.5 377.2
Construction in progress    
Property, Plant and Equipment [Line Items]    
Property, gross $ 55.5 $ 51.1