Income Taxes - Provision for Income Taxes (Details) - USD ($) $ in Thousands	3 Months Ended	6 Months Ended
Feb. 28, 2022	Feb. 28, 2021	Feb. 28, 2022	Feb. 28, 2021
Income Tax Disclosure [Abstract]
Income before income taxes	$ 121,956	$ 114,666	$ 241,886	$ 234,898
Provision for income taxes	$ 12,018	$ 18,023	$ 24,301	$ 37,049
Effective tax rate	9.90%	15.70%	10.00%	15.80%

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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+ Details

- Definition

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

+ References + Details