Income Taxes (Details) - USD ($) $ in Thousands	3 Months Ended	6 Months Ended
Feb. 29, 2024	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023
Income Tax Disclosure [Abstract]
Income before income taxes	$ 168,645	$ 156,762	$ 343,841	$ 314,647
Provision for income taxes	$ 27,705	$ 25,169	$ 54,346	$ 46,256
Effective tax rate	16.40%	16.10%	15.80%	14.70%

Amount of income (loss) from continuing operations, including income (loss) from equity method investments, before deduction of income tax expense (benefit), and income (loss) attributable to noncontrolling interest.

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Reference 3: http://www.xbrl.org/2003/role/disclosureRef
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-URI https://asc.fasb.org//1943274/2147483589/942-220-S99-1

+ Details

- Definition

Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

+ References + Details