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Derivative Financial Instruments - Additional Information - (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Derivative Instruments, Gain (Loss) [Line Items]      
Other comprehensive income loss reclassification adjustment recorded in interest expense $ 1,000    
Interest expense (26,898) $ (18,589) $ (8,538)
Maximum      
Derivative Instruments, Gain (Loss) [Line Items]      
Other comprehensive income loss reclassification adjustment recorded in interest expense   1,000  
Interest Rate Swaps      
Derivative Instruments, Gain (Loss) [Line Items]      
Notional amount of interest rate swaps $ 150,000 $ 150,000