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Derivative Financial Instruments - Summary of Fair Value of Derivative Instruments in Unaudited Condensed Consolidated Balance Sheet (Details) - Interest Rate Swap Contracts - USD ($)
$ in Thousands
Feb. 29, 2024
Aug. 31, 2023
Prepaid Expenses and Other Current Assets    
Derivatives, Fair Value [Line Items]    
Interest rate swap contracts, Asset fair value $ 853 $ 1,163
Other Long-term Liabilities    
Derivatives, Fair Value [Line Items]    
Interest rate swap contracts, Liability fair value $ (1,015) $ (1,555)