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Restructuring and Integration Expense - Schedule of Restructuring Rollforward (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 03, 2023
May 28, 2022
May 29, 2021
Restructuring Reserve [Roll Forward]      
Restructuring expenses $ 34.4 $ 0.0 $ 2.7
2023 Restructuring Plan      
Restructuring Reserve [Roll Forward]      
Beginning Balance 0.0    
Restructuring expenses 34.0 0.0  
Amounts Paid (26.7)    
Ending Balance (7.3) 0.0  
2023 Restructuring Plan | Severance and Employee Benefit      
Restructuring Reserve [Roll Forward]      
Beginning Balance 0.0    
Restructuring expenses 27.9    
Amounts Paid (20.6)    
Ending Balance (7.3) 0.0  
2023 Restructuring Plan | Exit and Disposal Activities      
Restructuring Reserve [Roll Forward]      
Beginning Balance 0.0    
Restructuring expenses 6.1    
Amounts Paid (6.1)    
Ending Balance $ 0.0 $ 0.0