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Restructuring and Integration Expense - Schedule of Restructuring Rollforward (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Dec. 03, 2022
Nov. 27, 2021
Dec. 03, 2022
Nov. 27, 2021
Restructuring Reserve [Roll Forward]        
Integration Costs $ 14.7 $ 0.0 $ 15.2 $ 0.0
Severance and Employee Benefit        
Restructuring Reserve [Roll Forward]        
Beginning balance     0.0  
Amounts Paid     (2.6)  
Ending balance 12.6   12.6  
Severance and Employee Benefit | 2023 Restructuring Plan        
Restructuring Reserve [Roll Forward]        
Integration Costs $ 14.7   $ 15.2