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Income Taxes - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Sep. 30, 2021
Income Tax Disclosure [Line Items]          
Federal statutory income tax rate 21.00% 21.00% 21.00% 21.00%  
Charge related to effects of Non US Jurisdiction unrecognized tax benefit       $ 36.1  
Unrecognized tax benefits $ 24.1   $ 24.1   $ 21.2
Income tax provision upon recognition of unrecognized tax benefit 24.1   24.1    
Unrecognized tax benefits that would impact valuation allowance 4.8   4.8    
Potential decrease in unrecognized tax benefits $ 3.0   $ 3.0    
Arena Solutions          
Income Tax Disclosure [Line Items]          
Reduction of valuation allowance   $ 42.3