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Related Party Transactions and Parent Company Investment - Allocation of General Corporate Expenses (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Related Party Transaction [Line Items]        
General Corporate Expenses $ 26.4 $ 27.7 $ 53.1 $ 56.4
Cost of products sold        
Related Party Transaction [Line Items]        
General Corporate Expenses 0.7 3.2 2.3 7.9
Selling and administrative expense        
Related Party Transaction [Line Items]        
General Corporate Expenses 23.5 23.7 47.9 48.1
Research and development expense        
Related Party Transaction [Line Items]        
General Corporate Expenses 1.8 1.3 3.5 2.5
Other (income) expense, net        
Related Party Transaction [Line Items]        
General Corporate Expenses $ 0.4 $ (0.5) $ (0.6) $ (2.1)