Temporary Differences and Carryforwards of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	Aug. 31, 2025	Aug. 31, 2024
Deferred income tax assets:
Deferred Tax Assets Operating Loss And Tax Credit Carryforwards	$ 37,504	$ 73,406
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits	4,855	4,440
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Postretirement Benefits	3,204	4,628
Deferred Tax Assets, Inventory	768	977
Deferred Tax Assets, Lease Liabilities	9,451	8,063
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Other	6,785	5,096
Total deferred income tax assets	73,130	105,293
Valuation allowance	(27,734)	(57,743)
Net deferred income tax assets	45,396	47,550
Deferred income tax liabilities:
Depreciation and amortization	(26,847)	(25,920)
Deferred Tax Liabilities Lease Assets	(9,021)	(7,918)
Other items	(2,065)	(2,716)
Deferred income tax liabilities	(37,933)	(36,554)
Net deferred income tax liability	(7,463)	(10,996)
Income Tax Disclosure Additional Details [Table] [Line Items]
Deferred Tax Liabilities, Other	2,065	2,716
Deferred Tax Assets, Tax Credit Carryforwards, Foreign	7,800
Deferred Tax Assets, Tax Credit Carryforwards	2,500
Deferred Tax Assets, Tax Credit Carryforwards, Other		1,400
Deferred Tax Assets, in Process Research and Development	10,563	8,683
Deferred Tax Assets, Net	7,463	10,996
Other Noncurrent Assets [Member]
Deferred income tax liabilities:
Net deferred income tax liability	(13,700)	(14,700)
Income Tax Disclosure Additional Details [Table] [Line Items]
Deferred Tax Assets, Net	13,700	14,700
Deferred income taxes [Member]
Income Tax Disclosure Additional Details [Table] [Line Items]
Deferred Tax Liabilities, Net	$ 6,200	$ 3,700