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Government Subsidies (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Aug. 31, 2020
Feb. 28, 2022
Feb. 28, 2021
May 31, 2021
Dec. 31, 2021
Unusual or Infrequent Item, or Both [Line Items]              
Deferred payroll taxes, CARES Act             $ 6.2
Cost of sales              
Unusual or Infrequent Item, or Both [Line Items]              
Contra-expense recognized for grant received from the Payroll Support Program under the CARES Act           $ 47.5  
Selling, general and administrative expenses              
Unusual or Infrequent Item, or Both [Line Items]              
Contra-expense recognized for grant received from the Payroll Support Program under the CARES Act           $ 1.0  
Covid-19              
Unusual or Infrequent Item, or Both [Line Items]              
Period for repayment of deferred payroll taxes, CARES Act       2 years      
Deferred payroll taxes, CARES Act $ 6.2     $ 6.2      
Proceeds From Government Assistance Cares Act     $ 57.2        
Grant proceeds to be used for payment of employee wages, salaries and benefits under the CARES Act       48.5      
Foreign subsidies received related to COVID-19 1.0 $ 1.2   3.4 $ 6.1    
Covid-19 | Payroll Support Program Promissory Note              
Unusual or Infrequent Item, or Both [Line Items]              
Promissory note proceeds $ 8.7     $ 8.7      
Debt instrument term       10 years      
First five years | Covid-19 | Payroll Support Program Promissory Note              
Unusual or Infrequent Item, or Both [Line Items]              
Interest rate (as a percent) 1.00%     1.00%      
Six to ten years | Covid-19 | Payroll Support Program Promissory Note              
Unusual or Infrequent Item, or Both [Line Items]              
Interest rate (as a percent) 2.00%     2.00%      
First five years, interest in kind | Covid-19 | Payroll Support Program Promissory Note              
Unusual or Infrequent Item, or Both [Line Items]              
Interest rate (as a percent) 3.00%     3.00%      
Remaining term, interest in kind | Covid-19 | Payroll Support Program Promissory Note              
Unusual or Infrequent Item, or Both [Line Items]              
Annual increase to the interest rate (as a percent) 1.00%     1.00%