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Restructuring and Integration Expense - Schedule of Restructuring Rollforward (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Restructuring Reserve [Roll Forward]      
Restructuring expenses $ 30.8 $ 34.4 $ 0.0
2023 Restructuring Plan      
Restructuring Reserve [Roll Forward]      
Beginning Balance (7.3)    
Restructuring expenses 0.0 34.0  
Amounts Paid (7.3)    
Ending Balance 0.0 (7.3)  
2023 Restructuring Plan | Severance and Employee Benefit      
Restructuring Reserve [Roll Forward]      
Beginning Balance (7.3)    
Restructuring expenses 0.0 27.9  
Amounts Paid (7.3)    
Ending Balance 0.0 (7.3)  
2023 Restructuring Plan | Exit and Disposal Activities      
Restructuring Reserve [Roll Forward]      
Beginning Balance 0.0    
Restructuring expenses 0.0    
Amounts Paid 0.0    
Ending Balance 0.0 0.0  
2024 Restructuring Plan      
Restructuring Reserve [Roll Forward]      
Beginning Balance 0.0    
Restructuring expenses 30.8    
Amounts Paid (9.3)    
Non-cash Costs (11.5)    
Ending Balance (10.0) 0.0  
2024 Restructuring Plan | Severance and Employee Benefit      
Restructuring Reserve [Roll Forward]      
Beginning Balance 0.0    
Restructuring expenses 19.3    
Amounts Paid (9.3)    
Non-cash Costs 0.0    
Ending Balance (10.0) 0.0  
2024 Restructuring Plan | Exit and Disposal Activities      
Restructuring Reserve [Roll Forward]      
Beginning Balance 0.0    
Restructuring expenses 11.5    
Amounts Paid 0.0    
Non-cash Costs (11.5)    
Ending Balance $ 0.0 $ 0.0