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Shareholders' Equity - Earnings per Share (Details) - USD ($)
$ / shares in Units, $ in Thousands
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]      
Weighted average shares outstanding (in shares) 65,287,650 72,529,188 76,721,969
Weighted average diluted shares (in shares) 65,404,110 72,565,920 76,731,464
Net income available to common shareholders, basic $ 221,705 $ 173,581 $ 173,438
Net income available to common shareholders, diluted $ 221,705 $ 173,581 $ 173,438
Basic EPS (in dollars per share) $ 3.40 $ 2.39 $ 2.26
Diluted EPS (in dollars per share) $ 3.39 $ 2.39 $ 2.26
Options      
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]      
Weighted average dilutive warrants and options (in shares) 116,460 36,732 9,495