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Revenue Recognition - Narrative (Details) - USD ($)
 3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Sep. 30, 2022
Disaggregation of Revenue [Line Items]      
Revenue recognized included in contract liability balance at the beginning of the period $ 6,600,000 $ 7,200,000  
Unbilled receivables 2,500,000   $ 1,900,000
Impairment losses recognized on contract costs $ 0 0  
Minimum      
Disaggregation of Revenue [Line Items]      
Estimated useful lives of intangible assets (in years) 3 years    
Minimum | Software      
Disaggregation of Revenue [Line Items]      
Estimated useful lives of intangible assets (in years) 1 year    
Maximum      
Disaggregation of Revenue [Line Items]      
Estimated useful lives of intangible assets (in years) 7 years    
Maximum | Software      
Disaggregation of Revenue [Line Items]      
Estimated useful lives of intangible assets (in years) 3 years    
Selling and marketing      
Disaggregation of Revenue [Line Items]      
Contract costs included in selling and marketing expenses $ 400,000 $ 300,000  
Other Current and Non-current Assets      
Disaggregation of Revenue [Line Items]      
Contract costs $ 2,500,000   $ 2,400,000