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Stock-Based Compensation (Additional Information) (Details)
3 Months Ended 12 Months Ended
Sep. 30, 2021
USD ($)
item
$ / shares
shares
Sep. 30, 2020
USD ($)
$ / shares
Jun. 30, 2021
USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total intrinsic value of options exercised $ 6,600,000 $ 100,000  
Total pre-tax unrecognized compensation costs related to non-vested awards $ 24,000,000.0    
Total pre-tax unrecognized compensation costs related to non-vested awards expected to be recognized, years 2 years 9 months 18 days    
Total fair value of options and Restricted Stock Units vested $ 12,000,000.0 16,300,000  
Share-based Payment Arrangement, Amount Capitalized $ 0 $ 0 $ 0
Stock Incentive Plans      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation arrangements plans | item 2    
Weighted average estimated grant date fair values, for options granted at market price, per share | $ / shares $ 14.72 $ 12.23  
Common Stock, Capital Shares Reserved for Future Issuance | shares 3,311,232    
Stock Incentive Plans | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Term of options (in years) 10 years    
Vesting Period (in years) 5 years    
Restricted Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value | $ / shares $ 36.87 $ 32.02  
Restricted Stock Units Outstanding, Shares Granted | shares 375,810    
Performance Based Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Term of options (in years) 3 years    
Share-based Payment Arrangement, Restriction Term One [Member] | Non-Performance Based Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Term of options (in years) 1 year    
Share-based Payment Arrangement, Restriction Term Two [Member] | Non-Performance Based Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Term of options (in years) 2 years    
Share-based Payment Arrangement, Restriction Term Three [Member] | Non-Performance Based Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Term of options (in years) 3 years    
Share-based Payment Arrangement, Restriction Term Four [Member] | Non-Performance Based Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Term of options (in years) 4 years