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Acquisitions - Additional Information (Details) $ in Thousands |  |  | 12 Months Ended
--- | --- | --- | ---
Feb. 01, 2021 USD ($) shares | Nov. 17, 2020 USD ($) | Sep. 30, 2023 USD ($) business | Sep. 30, 2022 USD ($) business | Sep. 30, 2021 USD ($) business
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Goodwill |  |  | $ 409,563 | $ 353,639 | $ 292,243
Software and Services |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Goodwill |  |  | 287,613 | 234,553 | 173,157
Merchant Services |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Goodwill |  |  | $ 121,950 | $ 119,086 | $ 119,086
Celtic |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 18 years |  |
Proceeds from issuance of long-term debt used to fund the acquisition |  |  | $ 85,000 |  |
Acquisition-related costs |  |  | 1,741 |  |
Property and equipment |  |  | 5,437 |  |
Goodwill |  |  | 43,695 |  |
Other long-term liabilities |  |  | 13,162 |  |
Other Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Proceeds from issuance of long-term debt used to fund the acquisition |  |  | 16,997 |  |
Acquisition-related costs |  |  | $ 317 |  |
Number of businesses acquired | business |  |  | 2 |  |
Total purchase consideration |  |  | $ 19,757 |  |
Business combination, contingent consideration, liability |  |  | 760 |  |
Net working capital |  |  | 159 |  |
Property and equipment |  |  | 374 |  |
Goodwill |  |  | 12,229 |  |
Business acquisition, goodwill, expected tax deductible amount |  |  | 2,864 |  |
Other long-term liabilities |  |  | 2,178 |  |
Other Business Combinations | Class A Common Stock |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Common units issued to seller |  |  | 2,000 |  |
2022 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  | 15 years |
Proceeds from issuance of long-term debt used to fund the acquisition |  |  |  | $ 101,400 |
Acquisition-related costs |  |  |  | $ 773 |
Number of businesses acquired | business |  |  |  | 3 |
Total purchase consideration |  |  |  | $ 107,681 |
Property and equipment |  |  |  | 190 |
Goodwill |  |  |  | 61,347 |
Other long-term liabilities |  |  |  | 6,725 |
Contingent cash consideration |  |  |  | $ 6,281 |
Number of businesses acquired with tax deductible goodwill | business |  |  |  | 2 |
Potential additional consideration |  |  |  | $ 23,000 |
2021 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Number of businesses acquired | business |  |  |  |  | 8
Property and equipment |  |  |  |  | $ 951
Goodwill |  |  |  |  | 105,023
BIS |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period | 19 years |  |  |  |
Proceeds from issuance of long-term debt used to fund the acquisition | $ 52,500 |  |  |  |
Acquisition-related costs | 374 |  |  |  |
Total purchase consideration | 95,495 |  |  |  |
Business combination, contingent consideration, liability | 7,750 |  |  |  |
Property and equipment |  |  |  |  | 206
Goodwill |  |  |  |  | 46,660
Potential additional consideration | 16,000 |  |  |  |
BIS | Class A Common Stock |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Common units issued to seller | $ 35,245 |  |  |  |
Business acquisition, equity interest issued or issuable, number of shares | shares | 1,202,914 |  |  |  |
ImageSoft, Inc. |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  | 19 years |  |  |
Proceeds from issuance of long-term debt used to fund the acquisition |  | $ 40,000 |  |  |
Acquisition-related costs |  | 403 |  |  |
Total purchase consideration |  | 46,300 |  |  |
Property and equipment |  |  |  |  | 433
Goodwill |  |  |  |  | $ 22,408
Contingent cash consideration |  | 6,300 |  |  |
Potential additional consideration |  | $ 20,000 |  |  |
Other |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  |  | 16 years
Proceeds from issuance of long-term debt used to fund the acquisition |  |  |  |  | $ 57,000
Acquisition-related costs |  |  |  |  | $ 1,110
Number of businesses acquired | business |  |  |  |  | 6
Total purchase consideration |  |  |  |  | $ 65,527
Property and equipment |  |  |  |  | 312
Goodwill |  |  |  |  | 35,955
Contingent cash consideration |  |  |  |  | 8,527
Potential additional consideration |  |  |  |  | $ 50,200
Other | Software and Services |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Number of businesses acquired | business |  |  |  |  | 5
Other | Merchant Services |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Number of businesses acquired | business |  |  |  |  | 1
Residual buyouts |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets acquired |  |  | $ 8,051 | $ 52 | $ 1,819
Estimated amortization period |  |  | 8 years | 8 years | 8 years
Referral Agreements |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets acquired |  |  | $ 420 |  |
Estimated amortization period |  |  | 5 years |  |
Acquired customer relationships | Celtic |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 18 years |  |
Intangible assets |  |  | $ 33,800 |  |
Acquired customer relationships | Other Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  | $ 8,400 |  |
Acquired customer relationships | Other Business Combinations | Minimum |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 10 years |  |
Acquired customer relationships | Other Business Combinations | Maximum |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 15 years |  |
Acquired customer relationships | 2022 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  |  | $ 41,090 |
Acquired customer relationships | 2022 Business Combinations | Minimum |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  | 10 years |
Acquired customer relationships | 2022 Business Combinations | Maximum |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  | 19 years |
Acquired customer relationships | 2021 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  |  |  | $ 72,640
Acquired customer relationships | BIS |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period | 19 years |  |  |  |
Intangible assets |  |  |  |  | 32,300
Acquired customer relationships | ImageSoft, Inc. |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  | 20 years |  |  |
Intangible assets |  |  |  |  | 16,300
Acquired customer relationships | Other |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  |  |  | $ 24,040
Acquired customer relationships | Other | Minimum |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  |  | 10 years
Acquired customer relationships | Other | Maximum |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  |  | 25 years
Trade name | Celtic |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 5 years |  |
Intangible assets |  |  | $ 600 |  |
Trade name | Other Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  | $ 100 |  |
Trade name | 2022 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  | 4 years |
Intangible assets |  |  |  | $ 1,550 |
Trade name | 2021 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  |  |  | $ 2,640
Trade name | BIS |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period | 5 years |  |  |  |
Intangible assets |  |  |  |  | 700
Trade name | ImageSoft, Inc. |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  | 5 years |  |  |
Intangible assets |  |  |  |  | $ 1,100
Trade name | Other |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  |  | 4 years
Intangible assets |  |  |  |  | $ 840
Non-compete agreements | Celtic |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 3 years |  |
Intangible assets |  |  | $ 200 |  |
Non-compete agreements | 2021 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  |  |  | 1,100
Non-compete agreements | BIS |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period | 3 years |  |  |  |
Intangible assets |  |  |  |  | 100
Non-compete agreements | ImageSoft, Inc. |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  | 3 years |  |  |
Intangible assets |  |  |  |  | $ 610
Non-compete agreements | Other |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  |  | 4 years
Intangible assets |  |  |  |  | $ 390
Capitalized software | Celtic |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 10 years |  |
Intangible assets |  |  | $ 12,600 |  |
Capitalized software | Other Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  | $ 670 |  |
Capitalized software | Other Business Combinations | Minimum |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 7 years |  |
Capitalized software | Other Business Combinations | Maximum |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  | 8 years |  |
Capitalized software | 2022 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  | 7 years |
Intangible assets |  |  |  | $ 9,790 |
Capitalized software | 2021 Business Combinations |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets |  |  |  |  | 24,500
Capitalized software | BIS |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period | 10 years |  |  |  |
Intangible assets |  |  |  |  | 15,200
Capitalized software | ImageSoft, Inc. |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  | 7 years |  |  |
Intangible assets |  |  |  |  | $ 5,200
Capitalized software | Other |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Estimated amortization period |  |  |  |  | 7 years
Intangible assets |  |  |  |  | $ 4,100

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- Definition This element represents acquisition-related costs incurred to effect a business combination which costs have been expensed during the period. Such costs include finder's fees; advisory, legal, accounting, valuation, and other professional or consulting fees; general administrative costs, including the costs of maintaining an internal acquisitions department; and may include costs of registering and issuing debt and equity securities. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 805 -SubTopic 10 -Section 25 -Paragraph 23 -Publisher FASB -URI https://asc.fasb.org//1943274/2147479405/805-10-25-23 + Details
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- Definition Amount of other liabilities due after one year or the normal operating cycle, if longer, assumed at the acquisition date. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 805 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479907/805-20-50-1 + Details
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