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Restructuring and Impairment Activities (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 Cost and Reserve [Line Items]            
Restructuring and impairment expenses       $ 10.2 $ 5.7 $ 12.5
North America Contract            
Restructuring Cost and Reserve [Line Items]            
Restructuring and impairment expenses       7.7    
Expected restructuring costs remaining $ 1.8     1.8    
Effect on Future Earnings, Amount       10.0    
North America Contract | Severance and employee related expenses            
Restructuring Cost and Reserve [Line Items]            
Restructuring and impairment expenses   $ 0.4 $ 1.4 6.7    
North America Contract | Exit or Disposal Activities            
Restructuring Cost and Reserve [Line Items]            
Restructuring and impairment expenses       1.0    
International Contract            
Restructuring Cost and Reserve [Line Items]            
Restructuring and impairment expenses 0.8     2.5 3.9  
Expected restructuring costs remaining 2.0     2.0    
Effect on Future Earnings, Amount       3.0    
Assets Held-for-sale, Long Lived, Fair Value Disclosure $ 4.2     4.2    
International Contract | Severance and employee related expenses            
Restructuring Cost and Reserve [Line Items]            
Restructuring and impairment expenses       0.3 2.4  
International Contract | Exit or Disposal Activities            
Restructuring Cost and Reserve [Line Items]            
Restructuring and impairment expenses       1.4 1.5  
International Contract | Impairment of Property and Equipment            
Restructuring Cost and Reserve [Line Items]            
Restructuring and impairment expenses       $ 0.8 $ 0.0