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Summary of Significant Accounting Policies - Disaggregated Revenue (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Concentration Risk [Line Items] |  |  |
Revenue | $ 370,239 | $ 317,862 | $ 224,124
Revenue earned over time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 331,012 | 273,820 | 157,567
Revenue earned at a point in time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 39,227 | 44,042 | 66,557
Fixed-Price Contract | Revenue earned over time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue |  |  | 25,843
Software and Services |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 232,967 | 193,402 | 114,433
Software and Services | Revenue earned over time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 215,071 | 173,368 | 76,367
Software and Services | Revenue earned at a point in time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 17,896 | 20,034 | 38,066
Merchant Services |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 137,342 | 124,481 | 111,870
Merchant Services | Revenue earned over time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 115,982 | 100,488 | 83,203
Merchant Services | Revenue earned at a point in time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 21,360 | 23,993 | 28,667
Other |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | (70) | (21) | (2,179)
Other | Revenue earned over time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | (41) | (36) | (2,003)
Other | Revenue earned at a point in time |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | (29) | 15 | (176)
Software and related services revenue |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 184,031 | 154,808 | 87,590
Software and related services revenue | Software and Services |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 170,895 | 142,202 | 75,736
Software and related services revenue | Merchant Services |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 13,177 | 12,641 | 11,872
Software and related services revenue | Other |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | (41) | (35) | (18)
Payments revenue |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 166,854 | 144,452 | 119,681
Payments revenue | Software and Services |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 51,834 | 40,951 | 29,451
Payments revenue | Merchant Services |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 115,049 | 103,509 | 92,325
Payments revenue | Other |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | (29) | (8) | (2,095)
Other revenue |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 19,354 | 18,602 | 16,853
Other revenue | Software and Services |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 10,238 | 10,249 | 9,246
Other revenue | Merchant Services |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | 9,116 | 8,331 | 7,673
Other revenue | Other |  |  |
Concentration Risk [Line Items] |  |  |
Revenue | $ 0 | $ 22 | $ (66)

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