Employee Benefits - Defined Benefit Pension Plan and Supplemental Executive Retirement Benefit Plan - Additional Information (Details) - USD ($)	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023
Defined Benefit Plan Disclosure [Line Items]
Defined benefit plan, amortization of gain (loss), percent threshold	5.00%
Defined benefit plan, benefit obligation	$ 9,565,000	$ 10,947,000
Defined benefit plan, expected future employer contributions, next fiscal year	$ 0
Defined benefit plan, assumptions used calculating benefit obligation, discount rate	4.80%	5.10%
Minimum
Defined Benefit Plan Disclosure [Line Items]
Defined benefit plan, annual expected future benefit payments	$ 500,000
Maximum
Defined Benefit Plan Disclosure [Line Items]
Defined benefit plan, annual expected future benefit payments	2,000,000
Supplemental Employee Retirement Plan, Defined Benefit
Defined Benefit Plan Disclosure [Line Items]
Assets for plan benefits, defined benefit plan	4,000,000	$ 4,000,000
Defined benefit plan, benefit obligation	$ 4,000,000	$ 4,000,000