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Property and Equipment, net - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Property, Plant and Equipment [Line Items]      
Depreciation expense $ 30.0 $ 21.3 $ 13.3
Capitalized computer software, additions $ 24.8 $ 22.3  
Impairment charges     $ 5.7
Capitalized software development      
Property, Plant and Equipment [Line Items]      
Property plant and equipment, useful life 3 years    
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