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Revenue Recognition - Additional information (Detail) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Revenue From Contract With Customers [Line Items]    
Revenue recognized from contract with customers liability $ 22.9 $ 13.0
Management services    
Revenue From Contract With Customers [Line Items]    
Expected performance percentage 61.00%