Summary of Significant Accounting Policies - Additional Information (Detail) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Significant Accounting Policies [Line Items]
Portion of inventory determined using last-in, first-out ("LIFO") method	48.70%	48.10%
Inventory LIFO reserve	$ 17,800	$ 17,600
Depreciation Expense	10,000	11,200	$ 12,300
Standard and Extended Product Warranty Accrual	534	856	1,140
Standard and Extended Product Warranty Accrual, Increase for Warranties Issued	371	418
Standard and Extended Product Warranty Accrual, Decrease for Payments	(699)	(723)
Standard and Extended Product Warranty Accrual, Decrease for Business Divestitures	0	(10)
Standard and Extended Product Warranty Accrual, Foreign Currency Translation Gain (Loss)	6	31
Accounts Receivable, allowance for doubtful accounts	15,900	16,800
Research and development costs	12,400	9,000	7,300
Interest Income, Other	2,500	2,600	1,300
AOCI - Foreign currency translation adjustments, net of tax	99,215	102,268
AOCI - Pension and other postretirement benefit plans, net of tax	(17,187)	(18,394)
Accumulated other comprehensive loss	391,979	326,620	318,611	$ 412,198
Operating Lease, Right-of-Use Asset	32,961	37,714
Retained earnings	261,870	1,011,112
Foreign Currency Transaction Gain (Loss), before Tax	2,100	2,100	1,500
AOCI, Cash Flow Hedge, Cumulative Gain (Loss), after Tax	$ (4)	548
Minimum | Buildings and improvements
Significant Accounting Policies [Line Items]
Property, plant and equipment useful life	10 years
Minimum | Machinery and equipment
Significant Accounting Policies [Line Items]
Property, plant and equipment useful life	2 years
Maximum | Buildings and improvements
Significant Accounting Policies [Line Items]
Property, plant and equipment useful life	40 years
Maximum | Machinery and equipment
Significant Accounting Policies [Line Items]
Property, plant and equipment useful life	15 years
Accumulated Other Comprehensive Loss
Significant Accounting Policies [Line Items]
Accumulated other comprehensive loss	$ (116,398)	$ (121,210)	$ (134,961)	$ (92,984)