Income Taxes - Additional information (Detail) - USD ($)	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020	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	$ 12,400,000	$ (30,700,000)	$ 71,200,000
Income tax and earnings from unconsolidated affiliates,Foreign operations	$ 48,200,000	$ 22,100,000	$ 53,600,000
Statutory federal corporate tax rate	21.00%	21.00%	21.00%	21.00%	25.70%	35.00%
Federal income tax expense (benefit), CARES Act	$ 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 will be 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 Company is in the process of evaluating the potential impacts of the IRA and does not currently expect the IRA to have a material impact on our effective tax rate. However, the analysis is ongoing and incomplete, and it is possible that the IRA could have an adverse effect on the Company’s tax liability.
Deferred tax assets, valuation allowance	$ 9,900,000	$ 10,400,000
Net increase (decrease) in the valuation allowance	500,000
Unrecognized tax benefits, excluding interest	400,000	1,600,000
Accrued interest related to uncertain tax provisions	100,000	400,000
Increase (reduction) in interest expense relating to reserves for uncertain tax provisions	300,000	$ 600,000
Accrued penalties related to uncertain tax reserves	0
State
Operating Loss Carryforwards [Line Items]
Operating loss carryforwards	$ 104,800,000
Operating loss carryforwards expiration year	2026
Credit carryforwards	$ 1,200,000
Credit carryforwards expiration year	2022
Foreign
Operating Loss Carryforwards [Line Items]
Operating loss carryforwards	$ 33,500,000
Operating loss carryforwards expiration year	2022
Operating loss carryforwards that do not expire	$ 26,100,000