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Restructuring and Integration Expense - Schedule of Changes in Restructuring Cost Reserve (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Aug. 30, 2025
Aug. 31, 2024
May 31, 2025
Jun. 01, 2024
Restructuring Reserve [Roll Forward]        
Restructuring Costs $ 0.5 $ 0.0    
2026 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Restructuring Costs 0.5      
2025 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Restructuring Costs     $ 14.8  
2024 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Restructuring Costs       $ 30.8
Total | 2026 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 0.0      
Restructuring Costs 0.5      
Amounts Paid 0.0      
Non-Cash Costs (0.5)      
Ending balance 0.0   0.0  
Total | 2025 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 7.0      
Restructuring Costs 0.0      
Amounts Paid (4.9)      
Non-Cash Costs 0.0      
Ending balance 2.1   7.0  
Total | 2024 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 1.0      
Restructuring Costs 0.0      
Amounts Paid (0.4)      
Non-Cash Costs 0.0      
Ending balance 0.6   1.0  
Severance and Employee Related | 2026 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 0.0      
Restructuring Costs 0.0      
Amounts Paid 0.0      
Non-Cash Costs 0.0      
Ending balance 0.0   0.0  
Severance and Employee Related | 2025 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 7.0      
Restructuring Costs 0.0      
Amounts Paid (4.9)      
Non-Cash Costs 0.0      
Ending balance 2.1   7.0  
Severance and Employee Related | 2024 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 1.0      
Restructuring Costs 0.0      
Amounts Paid (0.4)      
Non-Cash Costs 0.0      
Ending balance 0.6   1.0  
Exit and Disposal Activities | 2026 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 0.0      
Restructuring Costs 0.5      
Amounts Paid 0.0      
Non-Cash Costs (0.5)      
Ending balance 0.0   0.0  
Exit and Disposal Activities | 2025 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 0.0      
Restructuring Costs 0.0      
Amounts Paid 0.0      
Non-Cash Costs 0.0      
Ending balance 0.0   0.0  
Exit and Disposal Activities | 2024 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Beginning balance 0.0      
Restructuring Costs 0.0      
Amounts Paid 0.0      
Non-Cash Costs 0.0      
Ending balance $ 0.0   $ 0.0