Derivative Instruments - Fair Value Amount of Derivative Instruments (Details) - USD ($) $ in Thousands	Feb. 29, 2024	Aug. 31, 2023
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Derivative Assets	$ 418	$ 4,383
Derivative Liabilities	490	608
Cash flow hedging | Designated as hedging instrument
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Derivative Assets	418	4,383
Derivative Liabilities	$ 490	$ 608
Cash flow hedging | Designated as hedging instrument | Foreign currency forward contracts
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Derivative Assets, location	Prepaid expenses and other current assets	Prepaid expenses and other current assets
Derivative Assets	$ 418	$ 1,260
Derivative Liabilities, location	Accounts payable and accrued expenses	Accounts payable and accrued expenses
Derivative Liabilities	$ 490	$ 608
Cash flow hedging | Designated as hedging instrument | Interest rate swap agreement
Derivative Instruments and Hedging Activities Disclosures [Line Items]
Derivative Assets, location	Prepaid expenses and other current assets	Prepaid expenses and other current assets
Derivative Assets	$ 0	$ 3,123
Derivative Liabilities, location	Accounts payable and accrued expenses	Accounts payable and accrued expenses
Derivative Liabilities	$ 0	$ 0