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Income Taxes - Schedule of Income (Loss) Before Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Income Tax Disclosure [Abstract]
Domestic	$ 414.8	$ 472.4	$ 367.5
International	85.4	76.2	79.2
Income before income taxes	$ 500.2	$ 548.6	$ 446.7

X

- Definition

The portion of earnings or loss from continuing operations before income taxes that is attributable to domestic operations.

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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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The portion of earnings or loss from continuing operations before income taxes that is attributable to foreign operations, which is defined as Income or Loss generated from operations located outside the entity's country of domicile.

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