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Leases - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Leases [Abstract]
Weighted average discount rate (percent)	3.50%	2.50%
Weighted average remaining lease term	6 years
Cash paid for operating lease liabilities	$ 20.1	$ 18.5	$ 26.2
ROU assets obtained in exchange for lease liabilities	29.9	$ 37.3
Operating lease asset group impairment charge	$ 4.3		$ 0.0

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Amount of loss from impairment of right-of-use asset from operating lease.

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-Topic 842
-SubTopic 20
-Name Accounting Standards Codification
-Section 25
-Paragraph 6
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-Publisher FASB
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Amount of cash outflow from operating lease, excluding payments to bring another asset to condition and location necessary for its intended use.

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Weighted average discount rate for operating lease calculated at point in time.

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Weighted average remaining lease term for operating lease, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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Amount of increase in right-of-use asset obtained in exchange for operating lease liability.

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