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Earnings per Share - Schedule of Calculation of Numerator and Denominator in Earnings Per Share (Details) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Numerator:    
Net income $ 85.1 $ 69.1
Less: Allocation to participating securities (2.7) (2.4)
Net income allocated to common stockholders, basic 82.4 66.7
Net income allocated to common stockholders, diluted $ 82.4 $ 66.7
Denominator:    
Common shares outstanding (in shares) 30,976,042 30,233,107
Dilutive potential common shares outstanding:    
Share-based awards (in shares) 1,468,730 1,041,200
Diluted weighted-average common shares (in shares) 32,444,772 31,274,307