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Taxes - Narrative (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Aug. 31, 2021
May 31, 2023
May 31, 2022
May 31, 2021
May 31, 2020
Loss Contingencies [Line Items]          
Tax adjustments, settlements, and unusual provisions   $ 0.0      
Deferred tax liabilities, net   82.6 $ 89.6    
Deferred tax assets, net   21.0 17.9    
Operating loss carryforwards, valuation allowance   1.8      
Unrecognized tax benefits   2.0 3.1 $ 12.3 $ 10.2
Income tax penalties and interest accrued   0.1 0.3 2.6  
Unrecognized tax benefits that would impact effective tax rate   2.0 3.1 12.3  
Tax (expense) benefit from income tax penalties and interest expense   0.1 2.3 $ 0.5  
Valuation allowance, deferred tax asset, increase (decrease), amount   5.0 $ 0.0    
Proceeds from income tax refunds $ 63.1        
Sales Tax          
Loss Contingencies [Line Items]          
Tax adjustments, settlements, and unusual provisions   1.8      
United States          
Loss Contingencies [Line Items]          
Operating loss carryforwards, valuation allowance   0.3      
State and Local Jurisdiction          
Loss Contingencies [Line Items]          
Operating loss carryforwards, valuation allowance   3.2      
Non-United States          
Loss Contingencies [Line Items]          
Operating loss carryforwards, valuation allowance   $ 19.9