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Benefit Plans - Multiemployer Co-op Retirement Plan (Details) - USD ($) $ in Thousands | 12 Months Ended
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Aug. 31, 2023 | Aug. 31, 2022 | Aug. 31, 2021
Co-op Retirement Plan | Pension Benefits |  |  |
Multiemployer Plans [Line Items] |  |  |
Multiemployer Plan, Employer Contribution, Cost | $ 1,017 | $ 955 | $ 1,172

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