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Property and Equipment, net - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Property, Plant and Equipment [Line Items]      
Depreciation expense $ 21.3 $ 13.3 $ 11.2
Total property and equipment $ 155.3 107.9  
Impairment charges   5.7  
Capitalized software development      
Property, Plant and Equipment [Line Items]      
Property plant and equipment, useful life 3 years    
Total property and equipment $ 22.3 $ 0.0  
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