Commitments and Contingencies (Summary of Undiscounted Environmental Remediation Liability Classifications) (Details) - USD ($) $ in Thousands	May 31, 2022	Aug. 31, 2021	May 31, 2021
Commitments and Contingencies Disclosure [Abstract]
Other current liabilities	$ 4,934	$ 965	$ 971
Other noncurrent liabilities	10,967	15,128	15,155
Total environmental remediation liabilities	$ 15,901	$ 16,093	$ 16,126

Carrying value of the obligation (known or estimated) arising from requirements to perform activities to remediate one or more sites, payable in twelve months or in the next operating cycle if longer.

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