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Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Earnings Per Share, Diluted, by Common Class, Including Two Class Method      
Net earnings available to Class A common stockholders, basic $ 27.6 $ 23.5 $ 0.0
Dilutive securities, effect on basic earnings per share 0.2 0.1  
Net earnings available to Class A common stockholders, diluted $ 27.8 $ 23.6  
Weighted-Average Class A common shares outstanding, basic (in shares) 39.5 39.4 0.0
Incremental common shares attributable to dilutive effect of share-based payment arrangements 0.2 0.1  
Weighted-Average Class A common shares outstanding, diluted (in shares) 39.7 39.5 0.0
Earnings per Class A common share, basic (in usd per share) $ 0.70 $ 0.60 $ 0
Earnings per Class A common share, diluted (in usd per share) $ 0.70 $ 0.60 $ 0
Antidilutive securities excluded from computation of earnings per share, amount 0.2 0.1