Revenue Recognition - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Disaggregation of Revenue [Line Items]
Revenue recognized included in contract liability balance at the beginning of the period	$ 10.9	$ 9.1
Revenue, remaining performance obligation, amount	15.2
Impairment losses recognized in capitalized contract costs	$ 0.0	0.0
Minimum
Disaggregation of Revenue [Line Items]
Estimated useful lives of intangible assets	3 years
Minimum | Software
Disaggregation of Revenue [Line Items]
Estimated useful lives of intangible assets	1 year
Maximum
Disaggregation of Revenue [Line Items]
Estimated useful lives of intangible assets	7 years
Maximum | Software
Disaggregation of Revenue [Line Items]
Estimated useful lives of intangible assets	3 years
Selling and marketing
Disaggregation of Revenue [Line Items]
Amortization of capitalized contract costs	$ 1.3	1.2
Other current and non-current assets
Disaggregation of Revenue [Line Items]
Capitalized contract costs	2.4	$ 2.3
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-10-01
Disaggregation of Revenue [Line Items]
Revenue, remaining performance obligation, amount	$ 13.4
Revenue, remaining performance obligation, amount period	1 year
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2023-10-01
Disaggregation of Revenue [Line Items]
Revenue, remaining performance obligation, amount	$ 1.8
Revenue, remaining performance obligation, amount period