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Acquisitions - Schedule of Preliminary Purchase Consideration of the Acquired Assets and Assumed Liabilities (Details) - USD ($) $ in Thousands | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
--- | --- | --- | ---
Business Acquisition [Line Items] |  |  |
Goodwill | $ 409,563 | $ 353,639 | $ 292,243
2022 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Accounts receivable |  | 651 |
Settlement assets |  | 685 |
Prepaid expenses and other current assets |  | 83 |
Property and equipment |  | 190 |
Goodwill |  | 61,347 |
Operating lease right-of-use assets |  | 263 |
Other assets |  | 22 |
Total assets acquired |  | 115,671 |
Accrued expenses and other current liabilities |  | 287 |
Settlement obligations |  | 685 |
Deferred revenue, current |  | 30 |
Current portion of operating lease liabilities |  | 82 |
Operating lease liabilities, less current portion |  | 181 |
Other long-term liabilities |  | 6,725 |
Net assets acquired |  | 107,681 |
2021 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Accounts receivable |  |  | 9,705
Settlement assets |  |  | 7,009
Inventories |  |  | 619
Prepaid expenses and other current assets |  |  | 4,950
Property and equipment |  |  | 951
Goodwill |  |  | 105,023
Operating lease right-of-use assets |  |  | 816
Other assets |  |  | 38
Total assets acquired |  |  | 229,991
Accrued expenses and other current liabilities |  |  | 1,049
Settlement obligations |  |  | 7,009
Deferred revenue, current |  |  | 13,814
Current portion of operating lease liabilities |  |  | 296
Operating lease liabilities, less current portion |  |  | 501
Net assets acquired |  |  | 207,322
BIS |  |  |
Business Acquisition [Line Items] |  |  |
Accounts receivable |  |  | 1,567
Settlement assets |  |  | 6,889
Inventories |  |  | 458
Prepaid expenses and other current assets |  |  | 10
Property and equipment |  |  | 206
Goodwill |  |  | 46,660
Operating lease right-of-use assets |  |  | 0
Other assets |  |  | 0
Total assets acquired |  |  | 104,090
Accrued expenses and other current liabilities |  |  | 138
Settlement obligations |  |  | 6,889
Deferred revenue, current |  |  | 1,568
Current portion of operating lease liabilities |  |  | 0
Operating lease liabilities, less current portion |  |  | 0
Net assets acquired |  |  | 95,495
ImageSoft, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Accounts receivable |  |  | 4,997
Settlement assets |  |  | 120
Inventories |  |  | 0
Prepaid expenses and other current assets |  |  | 2,897
Property and equipment |  |  | 433
Goodwill |  |  | 22,408
Operating lease right-of-use assets |  |  | 332
Other assets |  |  | 6
Total assets acquired |  |  | 54,403
Accrued expenses and other current liabilities |  |  | 910
Settlement obligations |  |  | 120
Deferred revenue, current |  |  | 6,748
Current portion of operating lease liabilities |  |  | 75
Operating lease liabilities, less current portion |  |  | 250
Net assets acquired |  |  | 46,300
Other |  |  |
Business Acquisition [Line Items] |  |  |
Accounts receivable |  |  | 3,141
Settlement assets |  |  | 0
Inventories |  |  | 161
Prepaid expenses and other current assets |  |  | 2,043
Property and equipment |  |  | 312
Goodwill |  |  | 35,955
Operating lease right-of-use assets |  |  | 484
Other assets |  |  | 32
Total assets acquired |  |  | 71,498
Accrued expenses and other current liabilities |  |  | 1
Settlement obligations |  |  | 0
Deferred revenue, current |  |  | 5,498
Current portion of operating lease liabilities |  |  | 221
Operating lease liabilities, less current portion |  |  | 251
Net assets acquired |  |  | 65,527
Celtic |  |  |
Business Acquisition [Line Items] |  |  |
Accounts receivable | 7,660 |  |
Prepaid expenses and other current assets | 103 |  |
Property and equipment | 5,437 |  |
Goodwill | 43,695 |  |
Total assets acquired | 104,095 |  |
Accounts payable | 9 |  |
Accrued expenses and other current liabilities | 3,182 |  |
Deferred revenue, current | 2,741 |  |
Other long-term liabilities | 13,162 |  |
Net assets acquired | 85,001 |  |
Capitalized software | 2022 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  | 9,790 |
Capitalized software | 2021 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 24,500
Capitalized software | BIS |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 15,200
Capitalized software | ImageSoft, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 5,200
Capitalized software | Other |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 4,100
Capitalized software | Celtic |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets | 12,600 |  |
Acquired customer relationships | 2022 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  | 41,090 |
Acquired customer relationships | 2021 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 72,640
Acquired customer relationships | BIS |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 32,300
Acquired customer relationships | ImageSoft, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 16,300
Acquired customer relationships | Other |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 24,040
Acquired customer relationships | Celtic |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets | 33,800 |  |
Non-compete agreements | 2021 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 1,100
Non-compete agreements | BIS |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 100
Non-compete agreements | ImageSoft, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 610
Non-compete agreements | Other |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 390
Non-compete agreements | Celtic |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets | 200 |  |
Trade name | 2022 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  | $ 1,550 |
Trade name | 2021 Business Combinations |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 2,640
Trade name | BIS |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 700
Trade name | ImageSoft, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | 1,100
Trade name | Other |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  |  | $ 840
Trade name | Celtic |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets | $ 600 |  |

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