Income Taxes (Schedule of Earnings Before Income Taxes) (Details) - USD ($) $ in Thousands	12 Months Ended
Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Income Tax Disclosure [Abstract]
United States	$ 34,465	$ 28,605	$ 38,928
Foreign	53,403	21,781	9,915
Earnings before income taxes	$ 87,868	$ 50,386	$ 48,843

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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