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Property and Equipment, net (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Property, Plant and Equipment [Line Items]      
Depreciation $ 7.0 $ 6.6 $ 5.7
Furniture and Fixtures, Gross 7.2 6.8  
Capitalized Computer Software, Gross 25.3 22.8  
Machinery and Equipment, Gross 22.6 20.6  
Leasehold Improvements, Gross 15.4 11.9  
Property, Plant and Equipment, Gross 70.5 62.1  
Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment 31.8 32.7  
Property, Plant and Equipment, Net $ 38.7 $ 29.4  
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