Commitments and Contingencies (Summary of Environmental Remediation Liability Classifications) (Details) - USD ($) $ in Thousands	Aug. 31, 2022	Aug. 31, 2021
Commitments and Contingencies Disclosure [Abstract]
Other current liabilities	$ 4,179	$ 965
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration]	Other Liabilities, Current	Other Liabilities, Current
Other noncurrent liabilities	$ 10,967	$ 15,128
Environmental Loss Contingency, Noncurrent, Statement of Financial Position [Extensible Enumeration]	Other Liabilities, Noncurrent	Other Liabilities, Noncurrent
Total environmental remediation liabilities	$ 15,146	$ 16,093