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Earnings per Share - EPS Reconciliation (Details) - USD ($) | 3 Months Ended | 9 Months Ended
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Jun. 30, 2019 | Jun. 30, 2018 | Jun. 30, 2019 | Jun. 30, 2018
Earnings Per Share [Abstract] |  |  |  |
Net income | $ 16,300,000.0 | $ 24,000,000.0 | $ 57,900,000 | $ 39,800,000
Less: Net income allocated to participating securities | (300,000) | (300,000) | (1,000,000) | (600,000)
Net income allocated to common shareholders | $ 16,000,000 | $ 23,700,000 | $ 56,900,000 | $ 39,200,000
Weighted average number of common shares outstanding | 18,781,401 | 18,597,165 | 18,731,203 | 18,524,846
Dilutive potential common shares outstanding: |  |  |  |
Incremental Common Shares Attributable to Dilutive Effect of Share-based Payment Arrangements | 230,125 | 379,733 | 272,517 | 351,413
Diluted weighted-average shares | 19,011,526 | 18,976,898 | 19,003,720 | 18,876,259

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