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Basis of Presentation and Summary of Significant Accounting Policies (Details) - USD ($)	3 Months Ended		6 Months Ended		12 Months Ended
	Feb. 29, 2024	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023	Aug. 31, 2023
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Unrealized foreign currency gains (losses)			$ (245,000)	$ 1,820,000
Total long-term borrowings	$ 85,894,000		85,894,000		$ 109,743,000
Level 2 | Senior Notes
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Fair value of senior notes	60,100,000		60,100,000
Total long-term borrowings	67,200,000		67,200,000
Level 2 | Recurring
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Assets, fair value disclosure	0		0
Liabilities, fair value disclosure	0		0
Level 2 | Nonrecurring
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Assets, fair value disclosure	0		0
Liabilities, fair value disclosure	0		0
Foreign Currency Forward Contracts
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]
Foreign currency forward contracts outstanding	9,900,000		9,900,000
Unrealized foreign currency gains (losses)			0		$ 0
Realized foreign currency gains (losses)	$ 0	$ 0	$ 0	$ 0

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