Fair Value Measurement - Additional Information (Details) - USD ($)	3 Months Ended		9 Months Ended
	May 31, 2025	May 31, 2024	May 31, 2025	May 31, 2024	Aug. 31, 2024
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	191,250,000		191,250,000		$ 195,000,000
Interest Rate Cash Flow Hedge Derivative at Fair Value, Net	100,000		100,000		100,000
Derivative Instruments in Hedges, at Fair Value, Net	(3,300,000)		(3,300,000)		(1,600,000)
Increase (Decrease) in Fair Value of Hedged Item in Interest Rate Fair Value Hedge	100,000	$ 200,000	100,000	$ 100,000
Foreign Currency Contracts, Liability, Fair Value Disclosure					300,000
Revolving Credit Facility
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term Debt	$ 0		$ 0		$ 0