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Segment reporting - narrative (Details) - segment
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Segment Reporting [Abstract]      
Number of reportable segments 3    
Three Third-Party Payers | Revenues | Customer Concentration Risk      
Segment Reporting Information [Line Items]      
Concentration risk (as a percent) 33.00% 31.00% 33.00%