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Stock-based Compensation Plans (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Dec. 14, 2011
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-Based Payment Arrangement, Expense $ 14.1 $ 11.1 $ 9.9    
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount 270,547 779,150 790,759    
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 10.1        
Weighted-average recognition period, Compensation expense related to stock awards not yet vested 1 year 6 months        
Number of shares authorized under a Plan         20,500,000
Shares available for future grants under a Plan 3,874,846        
Share-based Compensation Arrangement by Share-based Payment Award, Expiration Period 10 years        
Share-based Compensation, Expected Forfeiture Rate 2.00%        
Restricted Stock Units (RSUs) [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 3 years        
Settlement of performance-based restricted stock units, net of shares withheld for taxes 367,315 301,864 251,981    
Performance Shares [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Settlement of performance-based restricted stock units, net of shares withheld for taxes 0 163,999 240,412    
Performance Shares [Member] | Minimum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Performance Factor 0.00%        
Performance Shares [Member] | Maximum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Performance Factor 200.00%        
Market-Based Awards | Minimum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Performance Factor 0.00%        
Market-Based Awards | Maximum [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Performance Factor 200.00%        
Employee Stock [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of shares authorized under a Plan       5,800,000  
Shares available for future grants under a Plan 1,792,275        
Price for shares offered under ESPP, as a percentage of closing price on the first or last day of the offering period 85.00%        
Phantom Share Units (PSUs) [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 3 years        
Settlement of performance-based restricted stock units, net of shares withheld for taxes 156,585 156,012 162,969    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instrument Other than Option, Nonvested, Intrinsic Value $ 21.70        
Share-based compensation liability $ 6.0