Revenue Recognition - Additional Information (Details)			3 Months Ended	12 Months Ended
	Oct. 31, 2023	Oct. 30, 2023	Dec. 31, 2023 USD ($)	Sep. 30, 2024 USD ($) Customer	Sep. 30, 2023 USD ($) Customer	Sep. 30, 2022 USD ($) Customer
Disaggregation Of Revenue [Line Items]
Revenues				$ 331,504,000	$ 294,475,000	$ 327,891,000
Minimum purchase commitment deals of revenue						$ 47,100,000
Distribution period						5 years
Contract acquisition costs				7,100,000	8,000,000
Contract acquisition cost, amortization				3,800,000	3,800,000	$ 2,500,000
Contract acquisition cost, impairment				0
Capitalized contract cost, amortization				8,900,000	9,900,000	10,200,000
Capitalized contract cost, impairment				0
Accounts receivable, net				62,755,000	61,270,000	45,100,000
Provision relating to bankruptcy				6,100,000
Acceleration of deferred revenue			$ 67,800,000
Contract Asset [Member]
Disaggregation Of Revenue [Line Items]
Provision relating to bankruptcy				6,000,000
Trade Accounts Receivable [Member]
Disaggregation Of Revenue [Line Items]
Provision relating to bankruptcy				100,000
Customer One
Disaggregation Of Revenue [Line Items]
Revenues				$ 84,200,000	$ 42,100,000	55,400,000
Customer Two
Disaggregation Of Revenue [Line Items]
Revenues						$ 48,900,000
Separate Customer
Disaggregation Of Revenue [Line Items]
Acceleration of deferred revenue			$ 9,900,000
2013 Acquisition
Disaggregation Of Revenue [Line Items]
Contract termination date	Dec. 31, 2023	Dec. 31, 2025
Revenues | Customer Concentration Risk
Disaggregation Of Revenue [Line Items]
Number of customers accounted for revenues | Customer				1	1	2
Revenues | Customer Concentration Risk | Customer One
Disaggregation Of Revenue [Line Items]
Percentage of revenue				25.40%	14.30%	16.90%
Revenues | Customer Concentration Risk | Customer Two
Disaggregation Of Revenue [Line Items]
Percentage of revenue						14.90%
Minimum
Disaggregation Of Revenue [Line Items]
Connected services contract term				1 year
Contract acquisition cost, deferred and amortized over benefit period				1 year
Contract term				1 year
Maximum
Disaggregation Of Revenue [Line Items]
Connected services contract term				5 years
Contract acquisition costs, expected benefit period				1 year
Contract acquisition cost, deferred and amortized over benefit period				8 years
Contract term				8 years