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Revenue Recognition - Contract Assets and Liabilities and Remaining Performance Obligations (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
May 31, 2021
May 31, 2022
Contract Assets and Liabilities        
Contract assets - current $ 87.5     $ 73.6
Contract assets - non-current 17.5     22.5
Contract liabilities:        
Deferred revenue - current (21.9)     (20.5)
Deferred revenue on long-term contracts (11.6)     (10.1)
Net contract assets 71.5     $ 65.5
Change in contract assets - current 13.9      
Change in contract assets - non-current (5.0)      
Change in contract liabilities - current (1.4)      
Change in contract liabilities - non-current (1.5)      
Change in net contract assets 6.0      
Change in contract assets 14.2 $ 2.8    
Impairment charges   2.3    
Change in Contract with Customer, Liability        
Deferred revenue at beginning of period (30.6) (31.3)    
Revenue deferred (57.5) (50.1)    
Revenue recognized 53.5 46.4    
Other 1.1 2.0    
Deferred revenue at end of period (33.5) (33.0) $ (31.3)  
Remaining Performance Obligations        
Remaining performance obligation $ 820.0      
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-09-01        
Remaining Performance Obligations        
Remaining performance obligation (as a percent) 40.00%      
Expected timing of satisfaction of remaining performance obligation 12 months      
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2023-09-01        
Remaining Performance Obligations        
Remaining performance obligation (as a percent) 35.00%      
Expected timing of satisfaction of remaining performance obligation 3 years      
PBH contracts        
Contract liabilities:        
PBH forward loss reserve $ 3.1      
Charge related to early termination of PBH customer contract   5.2    
Change in contract assets   1.0    
PBH forward loss reserve   4.2    
Impairment charges   2.3    
Charge to increase obligation reflecting revised estimated shortfall on minimum volume guarantee   $ 1.7    
Contract Charges on non-achievement of minimum volume guarantees     $ 4.5  
PBH contracts | Accrued liabilities        
Contract liabilities:        
PBH forward loss reserve 2.3      
PBH contracts | Other long-term liabilities        
Contract liabilities:        
PBH forward loss reserve $ 0.8