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Income Taxes - Reconciliation Between Effective and Statutory Tax Rates on Continuing Operations (Detail)	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2019	Aug. 31, 2018	Aug. 31, 2017
Income Tax Disclosure [Abstract]
Federal statutory rate	21.00%	21.00%	21.00%	21.00%	25.70%	35.00%
State income taxes, net of federal benefit	1.40%	3.00%	3.10%
Foreign operations	4.60%	6.20%	9.00%
U.S. tax on foreign earnings	2.30%	4.50%	1.80%
U.S. impact of foreign branch	(1.90%)
Carryback rate benefit			(3.20%)
Permanent differences	4.00%	(5.80%)	5.40%
Base erosion and anti-avoidance tax (BEAT)	0.50%	1.60%
Change in valuation allowance	2.80%	(0.50%)	(0.80%)
Uncertain tax positions	0.70%	1.40%	(1.80%)
Noncontrolling interest in flow-through entity	(0.30%)	(2.70%)	(3.00%)
Credits	(4.70%)	0.10%	(0.60%)
Other	(2.70%)	(1.80%)	(1.00%)
Effective tax rate	27.70%	27.00%	29.90%

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