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Significant Accounting and Reporting Policies - Schedule of Property, Plan and Equipment (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
Property, Plant and Equipment [Line Items]    
Accumulated depreciation $ (1,090.7) $ (1,034.4)
Property and equipment, net 492.0 536.3
Commitments for future capital purchases $ 53.7  
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 $ 55.0 55.1
Buildings and improvements    
Property, Plant and Equipment [Line Items]    
Property, gross 403.0 393.5
Machinery and equipment    
Property, Plant and Equipment [Line Items]    
Property, gross $ 1,069.6 1,066.6
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  
Construction in progress    
Property, Plant and Equipment [Line Items]    
Property, gross $ 55.1 $ 55.5