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Commitments and Contingencies (Summary of Environmental Remediation Liability Classifications) (Details) - USD ($)
$ in Thousands
Aug. 31, 2023
Aug. 31, 2022
Commitments and Contingencies Disclosure [Abstract]    
Other current liabilities $ 1,287 $ 4,179
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration] Other Liabilities, Current Other Liabilities, Current
Other noncurrent liabilities $ 10,175 $ 10,967
Environmental Loss Contingency, Noncurrent, Statement of Financial Position [Extensible Enumeration] Other Liabilities, Noncurrent Other Liabilities, Noncurrent
Total environmental remediation liabilities $ 11,462 $ 15,146