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Other Balance Sheet Information - Capitalized Direct Costs (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2023
Mar. 31, 2022
Sep. 30, 2022
Property, Plant and Equipment, Gross [Abstract]          
Capitalized computer software, gross $ 28.7   $ 28.7   $ 26.9
Capitalized computer software costs 0.7 $ 0.8 1.8 $ 1.3  
Software Development          
Property, Plant and Equipment, Gross [Abstract]          
Capitalized computer software, gross $ 10.2   $ 10.2