Employee Benefit Plans Employee Benefit Plans - Additional Information (Details) - USD ($)	12 Months Ended
	Aug. 31, 2026	Aug. 31, 2025	Aug. 31, 2024
Defined Benefit Plan Disclosure [Line Items]
Amount of benefits expected to be paid in fiscal 2025	$ 400,000
Amount of benefits expected to be paid in, fiscal 2026	400,000
Defined Benefit Plan, Expected Future Employer Contributions, Next Fiscal Year	400,000
Defined Contribution Plan, Cost		$ 200,000
Deferred Compensation Liability, Current and Noncurrent		6,600,000
Deferred Compensation Arrangement with Individual, Compensation Expense	500,000	$ 600,000	$ 900,000
Amount of benefits expected to be paid in fiscal 2024	$ 400,000
Equity Securities
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Plan Assets, Investment within Plan Asset Category, Percentage	30.00%	50.00%
Fixed Income Securities
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Plan Assets, Investment within Plan Asset Category, Percentage	70.00%	50.00%
Other Postretirement Benefit Plan, Defined Benefit
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Benefit Obligation	$ 1,400,000	$ 1,500,000
Foreign Defined Benefit Plan, Net Periodic Benefit Cost	100,000
Defined Benefit Plan, Expected Future Employer Contributions, Next Fiscal Year	$ 200,000
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate	7.00%
Defined Benefit Plan Health Care Cost Trend Rate In Future Period	5.00%
Location, Statement of Financial Position, Balance [Axis]: us-gaap:Liabilities
Defined Benefit Plan Disclosure [Line Items]
Deferred Compensation Liability, Current and Noncurrent	$ 4,500,000
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	2,000,000.0	2,100,000
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	$ 600,000	700,000
Defined Contribution Plan, Cost	200,000		300,000
Domestic Plan Member
Defined Benefit Plan Disclosure [Line Items]
Amount of benefits expected to be paid in fiscal 2023	3,000,000.0
Amount of benefits expected to be paid in fiscal 2025	2,900,000
Amount of benefits expected to be paid in, fiscal 2026	2,700,000
Defined Benefit Plan, Benefit Obligation	27,500,000	30,200,000	32,900,000
Foreign Defined Benefit Plan, Net Periodic Benefit Cost	$ 1,000,000.0	$ 1,200,000	$ 900,000
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Discount Rate	5.70%	5.20%	5.00%
Accumulated Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss), after Tax	$ (13,000,000.0)	$ (14,700,000)
Defined Benefit Plan, Expected Amortization, Next Fiscal Year	$ 1,100,000
Defined Benefit Plan, Expected Long Term Rate Of Returns On Assets Assumption	6.45%
Defined Benefit Plan, Plan Assets, Benefits Paid	$ 3,100,000	3,400,000
Defined Benefit Plan, Plan Assets, Contributions by Employer	900,000	1,200,000
Amount of benefits expected to be paid in, fiscal 2025	2,600,000
Amount of benefits expected to be paid fiscal 2027 through fiscal 2032	11,300,000
Amount of benefits expected to be paid in fiscal 2024	3,000,000.0
Foreign Plan Member
Defined Benefit Plan Disclosure [Line Items]
Amount of benefits expected to be paid in fiscal 2023	300,000
Defined Benefit Plan, Benefit Obligation	7,500,000	8,200,000	$ 8,500,000
Foreign Defined Benefit Plan, Net Periodic Benefit Cost	$ 200,000	$ 200,000	$ 300,000
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Discount Rate	5.30%	4.70%
Defined Benefit Plan, Expected Long Term Rate Of Returns On Assets Assumption	4.30%
Defined Benefit Plan, Plan Assets, Benefits Paid	$ 300,000	$ 300,000
Defined Benefit Plan, Plan Assets, Contributions by Employer	100,000	$ 100,000
Amount of benefits expected to be paid in, fiscal 2025	400,000
Amount of benefits expected to be paid fiscal 2027 through fiscal 2032	$ 2,800,000
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%