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Earnings per Share (Tables)
12 Months Ended
Sep. 30, 2022
Earnings Per Share [Abstract]  
Schedule of Calculation of Numerator and Denominator in Earnings Per Share The following is a reconciliation of the numerator and denominator of the diluted net income per share computations for the periods presented below.
 Year Ended September 30,
(in millions, except share amounts)202220212020
Numerator:
Net income$207.1 $116.3 $169.6 
Less: Allocation to participating securities(6.1)(3.5)(4.0)
Net income allocated to common stockholders$201.0 $112.8 $165.6 
Denominator:
Weighted average number of:
Common shares outstanding19,570,403 19,130,643 18,824,328 
Dilutive potential common shares outstanding:
Share-based awards497,137 547,525 356,151 
Diluted shares outstanding20,067,540 19,678,168 19,180,479