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CONSOLIDATED STATEMENTS OF EQUITY (Parenthetical) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Common Stock, Shares, Outstanding 49,903,713 49,761,480    
Shares Issued During Period, New Issues   84,547    
Share-Based Payment Arrangement, Decrease for Tax Withholding Obligation $ (0.7) $ (0.5) $ (0.6)  
Stock Issued During Period, Value, New Issues   1.7 33.4  
Net income 166.9 178.8 110.5  
Issuances of common stock, Value (0.1) (0.1) (0.1)  
APIC, Share-Based Payment Arrangement, Increase for Cost Recognition 4.3 3.3 2.6  
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest $ 1,369.9 $ 1,199.3 $ 1,015.9 $ 871.8
Common Stock        
Common Stock, Shares, Outstanding 49,903,713 49,761,480 49,580,389 48,061,921
Shares Issued During Period, New Issues     1,448,520  
Share-Based Payment Arrangement, Decrease for Tax Withholding Obligation $ 0.0 $ 0.0 $ 0.0  
Stock Issued During Period, Value, New Issues   0.1 1.4  
Net income 0.0 0.0 0.0  
Issuances of common stock, Value (0.1) (0.1) (0.1)  
APIC, Share-Based Payment Arrangement, Increase for Cost Recognition 0.0 0.0 0.0  
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest $ 49.9 $ 49.8 $ 49.6 $ 48.1
Shares Issued, Shares, Share-based Payment Arrangement, after Forfeiture 142,233 96,544 69,948  
Additional Paid-in Capital        
Share-Based Payment Arrangement, Decrease for Tax Withholding Obligation $ (0.7) $ (0.5) $ (0.6)  
Stock Issued During Period, Value, New Issues   1.6 32.0  
Net income 0.0 0.0 0.0  
Issuances of common stock, Value 0.0 0.0 0.0  
APIC, Share-Based Payment Arrangement, Increase for Cost Recognition 4.3 3.3 2.6  
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest 644.2 640.6 636.2 603.9
Retained Earnings        
Share-Based Payment Arrangement, Decrease for Tax Withholding Obligation 0.0 0.0 0.0  
Stock Issued During Period, Value, New Issues   0.0 0.0  
Net income 166.9 178.8 110.2  
Issuances of common stock, Value 0.0 0.0 0.0  
APIC, Share-Based Payment Arrangement, Increase for Cost Recognition 0.0 0.0 0.0  
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest 674.8 507.9 329.1 218.9
Noncontrolling Interest        
Share-Based Payment Arrangement, Decrease for Tax Withholding Obligation 0.0 0.0 0.0  
Stock Issued During Period, Value, New Issues   0.0 0.0  
Net income 0.0 0.0 0.3  
Issuances of common stock, Value 0.0 0.0 0.0  
APIC, Share-Based Payment Arrangement, Increase for Cost Recognition 0.0 0.0 0.0  
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest $ 1.0 $ 1.0 $ 1.0 $ 0.9