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Description of Business, Basis of Presentation, and Significant Accounting Policies (Narrative) (Details)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Jun. 01, 2019
USD ($)
Feb. 29, 2020
USD ($)
Feb. 28, 2019
USD ($)
Feb. 29, 2020
USD ($)
segment
Feb. 28, 2019
USD ($)
May 31, 2020
USD ($)
May 31, 2019
USD ($)
Accounting Policies [Line Items]              
Number of reportable segments | segment       1      
Allowance for doubtful accounts   $ 12.1   $ 12.1     $ 7.5
Advance collections   8.1   8.1     4.2
Maximum individual health insurance claims liability             0.3
Operating lease, impairment loss       0.0      
Stock-based compensation costs recognized   12.7 $ 10.8 36.5 $ 33.6    
Operating lease, right-of-use asset   124.3   124.3      
Operating lease, liability   142.7   142.7      
Forecast [Member]              
Accounting Policies [Line Items]              
Maximum individual workers' compensation claims liability           $ 1.0  
Maximum individual health insurance claims liability           $ 0.3  
ASU 2016-02 [Member]              
Accounting Policies [Line Items]              
Increase in lease-related assets and liabilities $ 116.4            
Operating lease, right-of-use asset 116.4            
Operating lease, liability 135.3            
Unamortized landlord allowances and lease incentives $ 18.9            
Trade Receivables [Member]              
Accounting Policies [Line Items]              
Receivables   98.7   98.7     94.5
Purchased Receivables [Member]              
Accounting Policies [Line Items]              
Receivables   $ 349.7   $ 349.7     333.5
Minimum [Member]              
Accounting Policies [Line Items]              
Maximum individual workers' compensation claims liability             0.5
Maximum [Member]              
Accounting Policies [Line Items]              
Maximum individual workers' compensation claims liability             $ 1.0
Europe [Member] | Revenue [Member] | Geographic Concentration Risk [Member]              
Accounting Policies [Line Items]              
Total percentage   1.00% 1.00% 1.00% 1.00%    
Europe [Member] | Long Lived Assets [Member] | Geographic Concentration Risk [Member]              
Accounting Policies [Line Items]              
Total percentage       5.00%     5.00%