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Stock-Based Compensation - Stock-based Compensation Expense (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2025
Jun. 30, 2024
Jun. 30, 2025
Jun. 30, 2024
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense $ 5.9 $ 6.5 $ 22.2 $ 20.4
Tax benefit associated with stock-based compensation costs recognized 0.9 0.6 3.1 1.8
Equity Awards        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense 5.9 6.3 22.1 20.1
Liability Awards        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense 0.0 0.2 0.1 0.3
Time-Vested Restricted Stock Units (TVUs)        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense 5.1 4.8 16.9 15.4
Performance-Based Restricted Stock Units (PSUs)        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense 0.5 0.7 3.8 2.0
Stock Appreciation Rights (SARs)        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense 0.3 1.0 1.5 3.0
Cost of products sold        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense 0.7 0.6 1.9 2.6
Selling and administrative expense        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense 5.1 5.3 17.2 16.1
Research and development expense        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense 0.1 0.6 0.3 1.7
Other operating expense        
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Total Stock-Based Compensation Expense $ 0.0 $ 0.0 $ 2.8 $ 0.0