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Earnings per Share - EPS Reconciliation (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Numerator:        
Net income $ 61.9 $ 69.5 $ 184.1 $ 187.8
Less: Allocation to participating securities (2.2) (2.4) (6.5) (6.3)
Net income allocated to common stockholders, basic 59.7 67.1 177.6 181.5
Net income allocated to common stockholders, diluted $ 59.7 $ 67.1 $ 177.6 $ 181.5
Denominator:        
Common shares outstanding (in shares) 30,643,270 30,060,251 30,449,286 29,870,136
Dilutive potential common shares outstanding:        
Share-based awards (in shares) 1,099,762 921,200 1,038,084 997,337
Diluted weighted - average common shares (in shares) 31,743,032 30,981,451 31,487,370 30,867,473