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Property and Equipment, net (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Property, Plant and Equipment [Line Items]      
Depreciation $ 11.2 $ 9.4 $ 7.0
Furniture and Fixtures, Gross 10.6 8.7  
Capitalized Computer Software, Gross 33.9 30.5  
Machinery and Equipment, Gross 28.1 24.7  
Leasehold Improvements, Gross 20.3 17.0  
Property, Plant and Equipment, Gross 92.9 80.9  
Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment (49.0) (38.5)  
Property, Plant and Equipment, Net $ 43.9 $ 42.4  
Minimum [Member]      
Property, Plant and Equipment [Line Items]      
Property, Plant and Equipment, Estimated Useful Lives 3 years    
Maximum [Member]      
Property, Plant and Equipment [Line Items]      
Property, Plant and Equipment, Estimated Useful Lives 10 years