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Share-Based Compensation - Schedule of company's compensation cost allocated to employees (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Share-Based Compensation Expense $ 3.9 $ 2.9 $ 8.5 $ 6.7
Tax benefit associated with share-based compensation costs recognized 1.0 0.7 2.0 1.6
Cost of products sold        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Share-Based Compensation Expense 0.7 0.6 1.7 1.5
Selling and administrative expense        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Share-Based Compensation Expense 2.8 1.7 5.7 3.9
Research and development expense        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Share-Based Compensation Expense $ 0.4 $ 0.6 $ 1.1 $ 1.3