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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