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Summary of Significant Accounting Policies - Goodwill and Intangible Assets (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Goodwill    
Goodwill, beginning of period $ 302,707 $ 301,368
Additions 750 1,339
Goodwill, end of period 303,457 302,707
Core Deposit and Other Intangibles    
Intangible assets, beginning of period 7,199 7,879
Additions 750 1,471
Amortization (1,387) (2,151)
Intangible assets, end of period 6,562 7,199
Total    
Goodwill and intangible assets, beginning of period 309,906 309,247
Additions 1,500 2,810
Amortization (1,387) (2,151)
Goodwill and intangible assets, end of period $ 310,019 $ 309,906