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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 6 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
Aug. 31, 2024
Business Acquisition [Line Items]          
Capitalized computer software, net $ 14.6   $ 14.6   $ 13.4
Capitalized computer software, accumulated amortization 2.9   2.9   $ 2.1
Capitalized computer software, amortization $ 0.4 $ 0.0 $ 0.8 $ 0.0