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Income Taxes - Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Feb. 29, 2024 | Feb. 28, 2023 | Feb. 29, 2024 | Feb. 28, 2023
Income Tax Disclosure [Abstract] |  |  |  |
Provision for income taxes | 21.60% | 20.80% | 23.00% | 20.90%
Increase in effective tax rate | 0.80% |  | 2.10% |
Unrecognized tax benefits, amount that may be affected within next twelve months | $ 12.4 |  | $ 12.4 |
Tax Cuts and Jobs Act, toll tax for accumulated foreign earnings | $ 12.1 |  | $ 12.1 |

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- Definition Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 12 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-12 + Details
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- Definition The amount of the unrecognized tax benefit of a position taken for which it is reasonably possible that the total amount thereof will significantly increase or decrease within twelve months of the balance sheet date. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 15 -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-15 + Details
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- Definition Amount of tax liability from transition tax on accumulated earnings of controlled foreign corporation deemed repatriated pursuant to Tax Cuts and Jobs Act. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -Name Accounting Standards Codification -Publisher FASB -URI https://asc.fasb.org//740/tableOfContent + Details
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