Income Taxes - Additional information (Detail) - USD ($)	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2019	Aug. 31, 2018	Aug. 31, 2017
Operating Loss Carryforwards [Line Items]
Income tax and earnings from unconsolidated affiliates,Domestic u.s. operations	$ 32,200,000	$ 12,400,000	$ (30,700,000)
Income tax and earnings from unconsolidated affiliates,Foreign operations	$ 58,800,000	$ 48,200,000	$ 22,100,000
Statutory federal corporate tax rate	21.00%	21.00%	21.00%	21.00%	25.70%	35.00%
Federal tax benefit	$ 38,500,000
Inflation reduction act terms	On August 16, 2022, the Inflation Reduction Act (the “IRA”) was signed into law. In general, the provisions of the IRA was effective beginning with fiscal year 2023, with certain exceptions. The IRA includes a new 15% corporate minimum tax as well as a 1% excise tax on corporate stock repurchases applicable to repurchases after December 31, 2022. The IRA did not have a material impact on our effective tax rate.
Deferred tax assets, valuation allowance	$ 9,600,000	$ 9,900,000
Net increase (decrease) in the valuation allowance	300,000
Unrecognized tax benefits, excluding interest	1,700,000	400,000
Accrued interest related to uncertain tax provisions	600,000	100,000
Increase (reduction) in interest expense relating to reserves for uncertain tax provisions	500,000	$ 300,000
Accrued penalties related to uncertain tax reserves	0
State
Operating Loss Carryforwards [Line Items]
Operating loss carryforwards	$ 106,800,000
Operating loss carryforwards expiration year	2024
Credit carryforwards	$ 600,000
Credit carryforwards expiration year	2025
Foreign
Operating Loss Carryforwards [Line Items]
Operating loss carryforwards	$ 25,100,000
Operating loss carryforwards expiration year	2023
Operating loss carryforwards that do not expire	$ 26,100,000