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Revenue Recognition - Contract Assets and Liabilities and Remaining Performance Obligations (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Nov. 30, 2022
Nov. 30, 2021
Aug. 31, 2021
Nov. 30, 2022
Nov. 30, 2021
May 31, 2021
May 31, 2022
Contract Assets and Liabilities              
Contract assets - current $ 82.5     $ 82.5     $ 73.6
Contract assets - non-current 16.3     16.3     22.5
Contract liabilities:              
Deferred revenue - current (14.1)     (14.1)     (20.5)
Deferred revenue on long-term contracts (14.7)     (14.7)     (10.1)
Net contract assets 70.0     70.0     $ 65.5
Change in contract assets - current       8.9      
Change in contract assets - non-current       (6.2)      
Change in contract liabilities - current       6.4      
Change in contract liabilities - non-current       (4.6)      
Change in net contract assets       4.5      
Change in contract assets       9.3 $ (3.2)    
Impairment charges         2.9    
Change in Contract with Customer, Liability              
Deferred revenue at beginning of period (33.5) $ (33.0) $ (31.3) (30.6) (31.3)    
Revenue deferred (69.6) (72.0)   (127.1) (122.1)    
Revenue recognized 66.6 58.6   120.1 105.0    
Other 7.7 3.7   8.8 5.7    
Deferred revenue at end of period (28.8) $ (42.7) (33.0) (28.8) $ (42.7) $ (31.3)  
Remaining Performance Obligations              
Remaining performance obligation $ 765.0     $ 765.0      
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-12-01              
Remaining Performance Obligations              
Remaining performance obligation (as a percent) 35.00%     35.00%      
Expected timing of satisfaction of remaining performance obligation 12 months     12 months      
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2023-12-01              
Remaining Performance Obligations              
Remaining performance obligation (as a percent) 55.00%     55.00%      
Expected timing of satisfaction of remaining performance obligation 3 years     3 years      
PBH contracts              
Contract liabilities:              
Change in contract assets     1.0        
PBH forward loss reserve     4.2        
Impairment charges     2.3        
Contract Charges on non-achievement of minimum volume guarantees           $ 4.5  
Charge to increase obligation reflecting revised estimated shortfall on minimum volume guarantee $ 1.9   1.7        
Charge related to early termination of PBH customer contract     $ 5.2        
PBH forward loss reserve 5.1     $ 5.1      
PBH contracts | Accrued liabilities              
Contract liabilities:              
PBH forward loss reserve 4.5     4.5      
PBH contracts | Other long-term liabilities              
Contract liabilities:              
PBH forward loss reserve $ 0.6     $ 0.6