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Income Taxes - Narrative (Details) - USD ($) | 12 Months Ended |
--- | --- | ---
Aug. 31, 2025 | Aug. 31, 2024 | Aug. 31, 2023 | Aug. 31, 2022 | Aug. 31, 2021
Income Tax Contingency [Line Items] |  |  |  |  |
Undistributed earnings and original investments in foreign subsidiaries |  | $ 305,500,000 |  |  |
Deferred income tax liability for certain foreign withholding taxes and U.S. state taxes |  | 400,000 |  |  |
Unrecognized tax benefits |  | 21,100,000 | $ 20,100,000 | $ 19,500,000 | $ 17,700,000
Unrecognized tax benefits that if recognized would affect annual effective tax rate |  | 21,100,000 | 20,100,000 |  |
Anticipated decrease in unrecognized tax benefits within the next twelve months |  | 11,800,000 |  |  |
Reductions due to lapse of statute of limitations |  | 3,100,000 | 2,900,000 | 1,600,000 |
Total accrued interest |  | 4,600,000 | $ 3,300,000 | $ 2,100,000 |
Accruals related to income tax penalties |  | 0 |  |  |
Forecast |  |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |  |
Reductions due to lapse of statute of limitations | $ 3,500,000 |  |  |  |
Internal Revenue Service (IRS) |  |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |  |
Federal tax credit carryforwards, subject to expiration |  | 10,500,000 |  |  |
Tax credit carryforward subject to a full valuation allowance |  | 9,700,000 |  |  |
Operating loss carryforwards |  | 10,500,000 |  |  |
State and Local Jurisdiction |  |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |  |
Federal tax credit carryforwards, subject to expiration |  | 900,000 |  |  |
Operating loss carryforwards |  | 28,800,000 |  |  |
Foreign Tax Jurisdiction |  |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |  |
Operating loss carryforwards |  | $ 14,600,000 |  |  |

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- Definition Amount of decrease reasonably possible in the next twelve months for the unrecognized tax benefit. + References Reference 1: http://fasb.org/us-gaap/role/ref/otherTransitionRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 15 -Subparagraph (d)(3) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-15 + Details
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- Definition Amount of deferred tax liability attributable to taxable temporary differences from undistributed earnings of subsidiary and other recognized entity not within country of domicile. Includes, but is not limited to, other basis differences. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-6 + Details
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