Temporary Differences and Carryforwards of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2024	Aug. 31, 2023
Deferred income tax assets:
Deferred Tax Assets Operating Loss And Tax Credit Carryforwards		$ 73,406	$ 70,933
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits		4,440	7,372
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Postretirement Benefits		4,628	5,224
Deferred Tax Assets, Inventory		977	1,715
Deferred Tax Assets, Lease Liabilities		8,063	8,594
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Other		5,096	6,548
Total deferred income tax assets		105,293	104,930
Valuation allowance		(57,743)	(61,432)
Net deferred income tax assets		47,550	43,498
Deferred income tax liabilities:
Depreciation and amortization		(25,920)	(23,844)
Deferred Tax Liabilities Lease Assets		(7,918)	(8,594)
Other items		(2,716)	(1,020)
Deferred income tax liabilities		(36,554)	(33,458)
Net deferred income tax liability		(10,996)	(10,040)
Income Tax Disclosure Additional Details [Table] [Line Items]
Deferred Tax Liabilities, Other		2,716	1,020
Deferred Tax Assets, Tax Credit Carryforwards, Foreign		7,600
Deferred Tax Assets, Tax Credit Carryforwards		2,500
Deferred Tax Assets, Tax Credit Carryforwards, Other			2,200
Net Benefit, Taxable Liquidations of Foreign Subsidiaries	$ 2,700
Deferred Tax Assets, in Process Research and Development		8,683	4,544
Deferred Tax Assets, Net		10,996	10,040
Other Noncurrent Assets [Member]
Deferred income tax liabilities:
Net deferred income tax liability		(14,700)	(15,700)
Income Tax Disclosure Additional Details [Table] [Line Items]
Deferred Tax Assets, Net		14,700	15,700
Deferred income taxes [Member]
Income Tax Disclosure Additional Details [Table] [Line Items]
Deferred Tax Liabilities, Net		$ 3,700	$ 5,700