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Restructuring and Impairment Activities Restructuring and Impairment Activities - Schedule of Restructuring Rollforward (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jun. 01, 2019
Dec. 02, 2017
Sep. 02, 2017
Jun. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Restructuring Reserve [Roll Forward]            
Restructuring Costs       $ 10.2 $ 5.7 $ 12.5
North America Contract            
Restructuring Reserve [Roll Forward]            
Beginning Balance       0.0    
Restructuring Costs       7.7    
Ending Balance $ (7.7)     (7.7) 0.0  
North America Contract | Severance and employee related expenses            
Restructuring Reserve [Roll Forward]            
Beginning Balance       0.0    
Restructuring Costs   $ 0.4 $ 1.4 6.7    
Ending Balance (6.7)     (6.7) 0.0  
North America Contract | Exit or Disposal Activities            
Restructuring Reserve [Roll Forward]            
Beginning Balance       0.0    
Restructuring Costs       1.0    
Ending Balance (1.0)     (1.0) 0.0  
International Contract            
Restructuring Reserve [Roll Forward]            
Beginning Balance     0.0 0.0 0.0  
Restructuring Costs 0.8     2.5 3.9  
Amounts Paid       1.5 3.9  
Charges Against Assets       0.8    
Ending Balance (0.2)     (0.2) 0.0 0.0
International Contract | Severance and employee related expenses            
Restructuring Reserve [Roll Forward]            
Beginning Balance     0.0 0.0 0.0  
Restructuring Costs       0.3 2.4  
Amounts Paid       0.2 2.4  
Charges Against Assets       0.0    
Ending Balance (0.1)     (0.1) 0.0 0.0
International Contract | Exit or Disposal Activities            
Restructuring Reserve [Roll Forward]            
Beginning Balance     0.0 0.0 0.0  
Restructuring Costs       1.4 1.5  
Amounts Paid       1.3 1.5  
Charges Against Assets       0.0    
Ending Balance (0.1)     (0.1) 0.0 0.0
International Contract | Impairment of Property and Equipment            
Restructuring Reserve [Roll Forward]            
Beginning Balance     $ 0.0 0.0 0.0  
Restructuring Costs       0.8 0.0  
Amounts Paid       0.0 0.0  
Charges Against Assets       0.8    
Ending Balance $ 0.0     $ 0.0 $ 0.0 $ 0.0