Revenue from Contracts with Customers - Additional Information (Details) - USD ($)	3 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Sep. 30, 2022
Revenue from External Customer [Line Items]
Contract with customer, asset, expected to be transferred to receivables within the next 12 months and therefore	$ 16,700,000
Contract with customer, asset, reclassified to receivable	6,000,000.0
Contract with customer, asset, increase in contract assets related to revenue recognized	6,200,000
Impairments of the contract cost asset	0	$ 0
Deferred revenue, revenue recognized	219,700,000
Deferred revenue, additions	215,400,000
Short term and long term accounts receivable	801,300,000		$ 871,000,000.0
Deferred revenue	516,033,000		520,333,000
Liability associated with exchange right	34,600,000		34,200,000
Allowance for doubtful accounts receivable	400,000		400,000
Amortization expense related to costs to obtain a contract with a customer	12,000,000.0	$ 11,600,000
Revenue, remaining performance obligation, amount	1,721,900,000
Unrecorded
Revenue from External Customer [Line Items]
Revenue, remaining performance obligation, amount	1,205,900,000
Other Current Assets
Revenue from External Customer [Line Items]
Capitalized contract cost, net	41,300,000		40,700,000
Other Assets
Revenue from External Customer [Line Items]
Capitalized contract cost, net	$ 77,600,000		$ 77,000,000.0