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Income Taxes - Unrecognized Tax Benefits (Detail) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Income Tax Disclosure [Abstract]
Unrecognized Tax Benefit – Opening Balance	$ 1.7	$ 0.4	$ 1.6
Gross increases – tax positions in prior period	1.8	1.3
Gross decreases – tax positions in prior period			(0.9)
Lapse of statute of limitations	(0.4)		(0.3)
Unrecognized Tax Benefit – Ending Balance	$ 3.1	$ 1.7	$ 0.4

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- Definition

Amount of unrecognized tax benefits.

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Amount of decrease in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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Amount of increase in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations.

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