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Property and Equipment, net - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Property, Plant and Equipment [Line Items]      
Depreciation expense $ 58.0 $ 45.6 $ 36.3
Capitalized computer software, additions 38.3 36.1  
Sale of property and equipment assets 6.7 4.8  
Property and equipment, net 166.6 $ 143.1  
Accelerated the amortization of certain software cost 4.0    
Net book value of accelerated 1.2    
Property and Equipment      
Property, Plant and Equipment [Line Items]      
Property and equipment, net $ 2.3    
Minimum      
Property, Plant and Equipment [Line Items]      
Property plant and equipment, useful life 3 years    
Maximum      
Property, Plant and Equipment [Line Items]      
Property plant and equipment, useful life 10 years