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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
Feb. 28, 2021
USD ($)
item
Feb. 28, 2021
USD ($)
item
Feb. 29, 2020
USD ($)
item
Feb. 28, 2021
USD ($)
item
segment
Feb. 29, 2020
USD ($)
item
May 31, 2021
USD ($)
May 31, 2020
USD ($)
item
Accounting Policies [Line Items]              
Number of reportable segments | segment       1      
Allowance for doubtful accounts $ 20.3 $ 20.3   $ 20.3     $ 12.5
Advance collections 3.8 3.8   3.8     6.1
Maximum individual health insurance claims liability             0.3
Stock-based compensation expense   12.6 $ 12.7 38.1 $ 36.5    
Forecast [Member]              
Accounting Policies [Line Items]              
Maximum individual health insurance claims liability           $ 0.3  
Trade Receivables [Member]              
Accounting Policies [Line Items]              
Receivables 99.3 99.3   99.3     84.7
Purchased Receivables [Member]              
Accounting Policies [Line Items]              
Receivables $ 615.8 $ 615.8   $ 615.8     $ 311.9
Revenue [Member]              
Accounting Policies [Line Items]              
Number of clients creating a credit concentration | item   0 0 0 0    
Concentration percentage   10.00% 10.00% 10.00% 10.00%    
Accounts Receivable And Unbilled Receivables [Member]              
Accounting Policies [Line Items]              
Number of clients creating a credit concentration | item 1           0
Concentration percentage 13.00%           10.00%
PEO [Member]              
Accounting Policies [Line Items]              
Maximum individual workers' compensation claims liability             $ 1.0
PEO [Member] | Forecast [Member]              
Accounting Policies [Line Items]              
Maximum individual workers' compensation claims liability           $ 1.0