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Segment reporting - narrative (Details) - segment
6 Months Ended 12 Months Ended
Aug. 31, 2021
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Segment Reporting [Abstract]        
Number of reportable segments 3 3    
Three Third-Party Payers | Revenues | Customer Concentration Risk        
Segment Reporting Information [Line Items]        
Concentration risk (as a percent)   31.00% 33.00% 35.00%