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Leases - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Weighted average discount rate (percent)	3.70%	3.50%
Weighted average remaining lease term	5 years
Cash paid for operating lease liabilities	$ 22.9	$ 20.1	$ 18.5
ROU assets obtained in exchange for lease liabilities	$ 3.4	29.9
Operating lease asset group impairment charge		4.3
Level 3 | Fair value measured on nonrecurring basis
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Operating lease asset group impairment charge		$ 4.3

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

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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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