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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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