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Benefit Plans - Multiemployer Co-op Retirement Plan (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Co-op Retirement Plan | Pension Benefits      
Multiemployer Plans [Line Items]      
Multiemployer Plan, Employer Contribution, Cost $ 955 $ 1,172 $ 1,455