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Allowance for Losses on Loans - Additional Information (Details) - USD ($)	3 Months Ended		9 Months Ended
	Jun. 30, 2022	Jun. 30, 2021	Jun. 30, 2022	Jun. 30, 2021	Mar. 31, 2022	Sep. 30, 2021	Mar. 31, 2021	Sep. 30, 2020
Accounts, Notes, Loans and Financing Receivable [Line Items]
Provisions & Transfers	$ (1,000,000)	$ (3,000,000)	$ (3,500,000)	$ (1,500,000)
Net (charge-offs) recoveries	595,000	1,131,000	3,179,000	5,329,000
Allowance for credit losses on loans	170,979,000	170,784,000	170,979,000	170,784,000	$ 171,384,000	$ 171,300,000	$ 172,653,000	$ 166,955,000
Net loans	15,565,165,000		15,565,165,000			13,833,570,000
Gross loans	$ 15,736,144,000		$ 15,736,144,000			$ 14,004,870,000
% based on $, past due	0.26%		0.26%			0.19%
Financial Asset Originated
Accounts, Notes, Loans and Financing Receivable [Line Items]
Non-accrual loans	$ 36,679,000		$ 36,679,000			$ 31,749,000
Non-Performing Loans
Accounts, Notes, Loans and Financing Receivable [Line Items]
Gross loans	$ 50,430,000		$ 50,430,000			$ 43,625,000
Ratio of non-performing assets to total assets	0.25%		0.25%			0.22%
Commercial loans
Accounts, Notes, Loans and Financing Receivable [Line Items]
Provisions & Transfers	$ 1,405,000	(2,421,000)	$ 3,837,000	10,368,000
Allowance for credit losses on loans	130,859,000	123,519,000	130,859,000	123,519,000	129,440,000	$ 125,375,000	125,444,000	109,923,000
Gross loans	$ 9,330,158,000		$ 9,330,158,000			$ 8,316,591,000
% based on $, past due	0.18%		0.18%			0.05%
Commercial loans | Financial Asset Originated
Accounts, Notes, Loans and Financing Receivable [Line Items]
Non-accrual loans	$ 15,256,000		$ 15,256,000			$ 11,723,000
Commercial loans | Commercial & industrial
Accounts, Notes, Loans and Financing Receivable [Line Items]
Provisions & Transfers	1,040,000	(2,258,000)	9,838,000	6,830,000
Allowance for credit losses on loans	54,924,000	$ 45,538,000	54,924,000	$ 45,538,000	$ 53,903,000	45,957,000	$ 47,794,000	$ 38,665,000
Gross loans	$ 2,344,046,000		$ 2,344,046,000			$ 2,303,927,000
% based on $, past due	0.70%		0.70%			0.01%
Commercial loans | Commercial & industrial | Financial Asset Originated
Accounts, Notes, Loans and Financing Receivable [Line Items]
Non-accrual loans	$ 4,288,000		$ 4,288,000			$ 365,000
Commercial loans | Commercial & industrial | SBA Payroll Protection Program, CARES Act
Accounts, Notes, Loans and Financing Receivable [Line Items]
Allowance for credit losses on loans	0		0			0
Net loans	$ 54,185,000		$ 54,185,000			$ 305,162,000

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Amount excluding accrued interest, of allowance for credit loss on financing receivable. Excludes net investment in lease.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 45
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=124255206&loc=SL82895884-210446

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Amortized cost excluding accrued interest, after allowance for credit loss, of financing receivable. Excludes net investment in lease.

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Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
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-URI https://asc.fasb.org/extlink&oid=124255206&loc=SL82895884-210446

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Amortized cost excluding accrued interest, before allowance for credit loss, of financing receivable. Excludes net investment in lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
-SubTopic 20
-Section 50
-Paragraph 5
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=124255953&loc=SL82919230-210447

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-Publisher FASB
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-Topic 326
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-Section 45
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-URI https://asc.fasb.org/extlink&oid=124255206&loc=SL82895884-210446

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-Name Accounting Standards Codification
-Topic 326
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-Section 50
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-URI https://asc.fasb.org/extlink&oid=124255953&loc=SL120267963-210447

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Amortized cost excluding accrued interest, of financing receivable on nonaccrual status. Excludes net investment in lease.

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-Publisher FASB
-Name Accounting Standards Codification
-Topic 326
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