Commitments and Contingencies (Summary of Undiscounted Environmental Remediation Liability Classifications) (Details) - USD ($) $ in Thousands	May 31, 2023	Aug. 31, 2022	May 31, 2022
Commitments and Contingencies Disclosure [Abstract]
Other current liabilities	$ 2,483	$ 4,179	$ 4,934
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration]	Other Liabilities, Current	Other Liabilities, Current	Other Liabilities, Current
Other noncurrent liabilities	$ 9,817	$ 10,967	$ 10,967
Environmental Loss Contingency, Noncurrent, Statement of Financial Position [Extensible Enumeration]	Other Liabilities, Noncurrent	Other Liabilities, Noncurrent	Other Liabilities, Noncurrent
Total environmental remediation liabilities	$ 12,300	$ 15,146	$ 15,901