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Revenue Recognition - Narrative (Details) - USD ($) | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Mar. 31, 2023 | Mar. 31, 2022 | Mar. 31, 2023 | Mar. 31, 2022 | Sep. 30, 2022
Disaggregation of Revenue [Line Items] |  |  |  |  |
Revenue recognized included in contract liability balance at the beginning of the period | $ 3,300,000 | $ 2,700,000 | $ 9,900,000 | $ 9,900,000 |
Unbilled receivables | 4,200,000 |  | 4,200,000 |  | $ 1,900,000
Impairment losses recognized on contract costs |  |  | 0 | 0 |
Selling and marketing |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Contract costs included in selling and marketing expenses | 400,000 | $ 300,000 | 700,000 | $ 700,000 |
Other Current and Non-current Assets |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Contract costs | $ 2,400,000 |  | $ 2,400,000 |  | $ 2,400,000
Minimum |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Estimated useful lives of intangible assets (in years) | 3 years |  | 3 years |  |
Minimum | Software |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Estimated useful lives of intangible assets (in years) | 1 year |  | 1 year |  |
Maximum |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Estimated useful lives of intangible assets (in years) | 7 years |  | 7 years |  |
Maximum | Software |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Estimated useful lives of intangible assets (in years) | 3 years |  | 3 years |  |

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