Fair Value Measurement - Additional Information (Details) - USD ($)	Feb. 29, 2024	Aug. 31, 2023
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Foreign Currency Contract, Liability/Asset, Fair Value Disclosure	$ 100,000	$ 100,000
Long-term Debt	245,500,000	214,750,000
Interest Rate Cash Flow Hedge Derivative at Fair Value, Net	600,000	700,000
Derivative Instruments in Hedges, at Fair Value, Net	(900,000)	(1,200,000)
Revolving Credit Facility
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term Debt	$ 48,000,000	$ 16,000,000