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Retirement Plans (Schedules of Net Benefit Costs) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Aug. 31, 2025 | Aug. 31, 2024 | Aug. 31, 2023
Retirement Benefits [Abstract] |  |  |
Interest cost | $ 226 | $ 232 | $ 211
Net amortization and deferral | 193 | 191 | 211
Total | $ 419 | $ 423 | $ 422

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