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Retirement Plans (Schedule of Amounts Recognized in Statement of Financial Position) (Details) - USD ($) $ in Thousands | Aug. 31, 2025 | Aug. 31, 2024 | Aug. 31, 2023
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Retirement Benefits [Abstract] |  |  |
Other current liabilities | $ 474 | $ 530 |
Other non-current liabilities | 3,418 | 4,167 |
Net amount recognized | $ 3,892 | $ 4,697 | $ 4,912

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