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Property and Equipment and Capitalized Cloud Computing Implementation Costs - Narrative (Details) - Capitalized Cloud-Based Asset - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	May 31, 2025	May 31, 2024	May 31, 2025	May 31, 2024	Aug. 31, 2024
Business Combination [Line Items]
Capitalized computer software, net	$ 15.4		$ 15.4		$ 13.4
Capitalized computer software, accumulated amortization	3.4		3.4		$ 2.1
Capitalized computer software, amortization	$ 0.5	$ 0.0	$ 1.3	$ 0.6

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