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Property and Equipment and Capitalized Cloud-Based Software Implementation Costs - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Business Acquisition [Line Items]    
Capitalized computer software, amortization $ 1.2  
Capitalized Cloud-Based Asset    
Business Acquisition [Line Items]    
Capitalized computer software, net 13.4 $ 11.0
Capitalized computer software, accumulated amortization $ 2.1 0.7
Capitalized computer software, amortization   $ 0.0
Capitalized Cloud-Based Asset | Minimum    
Business Acquisition [Line Items]    
Property and equipment, useful life 3 years  
Capitalized Cloud-Based Asset | Maximum    
Business Acquisition [Line Items]    
Property and equipment, useful life 5 years  
Capitalized Cloud-Based Asset, ERP System Implementation    
Business Acquisition [Line Items]    
Property and equipment, useful life 5 years  
Capitalized Cloud-Based Asset, ERP System    
Business Acquisition [Line Items]    
Property and equipment, useful life 10 years