Employee Benefit Plans Employee Benefit Plans - Additional Information (Details) - USD ($)	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Expected Future Employer Contributions, Next Fiscal Year	$ 1,200,000
Deferred Compensation Arrangement with Individual, Compensation Expense	900,000	$ 900,000	$ 700,000
Equity Securities
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Plan Assets, Investment within Plan Asset Category, Percentage		50.00%
Fixed Income Securities
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Plan Assets, Investment within Plan Asset Category, Percentage		50.00%
Other Postretirement Benefit Plan, Defined Benefit
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Benefit Obligation	1,600,000	$ 1,700,000
Foreign Defined Benefit Plan, Net Periodic Benefit Cost	40,000.00	100,000
Defined Benefit Plan, Expected Future Employer Contributions, Next Fiscal Year	$ 200,000
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate	6.80%
Defined Benefit Plan Health Care Cost Trend Rate In Future Period	5.00%
Other Current Liabilities and Other Long-term Liabilities [Member]
Defined Benefit Plan Disclosure [Line Items]
Deferred Compensation Liability, Current and Noncurrent	$ 9,300,000	11,000,000.0
401(k) [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined Contribution Plan, Employer Matching Contribution, Percent of Employees' Gross Pay	8.00%
Defined Contribution Plan, Cost	$ 2,100,000	2,100,000	2,200,000
Maximum Percentage Of Core Contributions Made By Employer	3.00%
Defined Benefit Plan, Plan Assets, Contributions by Employer	$ 0.50
Defined Contribution Plan, Maximum Annual Contributions Per Employee, Amount	$ 1
Discretionary Contribution made by Employer Vesting Period	3
Supplemental Executive Retirement Plan [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Benefit Obligation	$ 900,000	1,000,000.0
Defined Contribution Plan, Cost	300,000		200,000
Domestic Plan Member
Defined Benefit Plan Disclosure [Line Items]
Amount of benefits expected to be paid in fiscal 2023	3,200,000
Amount of benefits expected to be paid in fiscal 2024	3,100,000
Amount of benefits expected to be paid in fiscal 2025	3,100,000
Amount of benefits expected to be paid in, fiscal 2026	3,000,000.0
Defined Benefit Plan, Benefit Obligation	32,856,000	33,204,000	37,135,000
Foreign Defined Benefit Plan, Net Periodic Benefit Cost	$ 901,000	$ 588,000	$ 324,000
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Discount Rate	5.00%	5.40%	4.75%
Accumulated Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss), after Tax	$ (16,300,000)	$ (16,900,000)
Defined Benefit Plan, Expected Amortization, Next Fiscal Year	$ 1,300,000
Defined Benefit Plan, Expected Long Term Rate Of Returns On Assets Assumption	6.20%
Defined Benefit Plan, Plan Assets, Benefits Paid	$ 3,336,000	3,289,000
Defined Benefit Plan, Plan Assets, Contributions by Employer	421,000	108,000
Amount of benefits expected to be paid in, fiscal 2025	2,900,000
Amount of benefits expected to be paid fiscal 2027 through fiscal 2032	12,900,000
Foreign Plan Member
Defined Benefit Plan Disclosure [Line Items]
Amount of benefits expected to be paid in fiscal 2023	300,000
Amount of benefits expected to be paid in fiscal 2024	300,000
Amount of benefits expected to be paid in fiscal 2025	300,000
Amount of benefits expected to be paid in, fiscal 2026	400,000
Defined Benefit Plan, Benefit Obligation	8,510,000	8,085,000	$ 8,017,000
Foreign Defined Benefit Plan, Net Periodic Benefit Cost	$ 261,000	$ 171,000	$ 193,000
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Discount Rate	4.10%	4.30%
Defined Benefit Plan, Expected Long Term Rate Of Returns On Assets Assumption	4.10%
Defined Benefit Plan, Plan Assets, Benefits Paid	$ 261,000	$ 469,000
Defined Benefit Plan, Plan Assets, Contributions by Employer	69,000	$ 286,000
Amount of benefits expected to be paid in, fiscal 2025	400,000
Amount of benefits expected to be paid fiscal 2027 through fiscal 2032	$ 2,300,000
Minimum | Supplemental Executive Retirement Plan [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined Contribution Plan Employer Contribution Percentage	3.00%
Maximum | Supplemental Executive Retirement Plan [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined Contribution Plan Employer Contribution Percentage	6.00%