Revenue from Contracts with Customers - Additional Information (Details) - USD ($)	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Revenue from External Customer [Line Items]
Contract with customer, asset, expected to be transferred to receivables within the next 12 months and therefore	$ 16,900,000
Contract with customer other current asset		$ 8,200,000
Contract with customer, asset, reclassified to receivable	7,000,000.0
Contract with customer, asset, increase in contract assets	8,200,000
Contract with customer, asset, increase in contract assets related to revenue recognized	15,200,000
Deferred revenue, revenue recognized	491,600,000
Deferred revenue, additions	507,300,000
Short term and long term accounts receivable	$ 871,000,000.0	744,600,000
Capitalized contract cost, amortization period	5 years
Amortization expense related to costs to obtain a contract with a customer	$ 50,900,000	46,700,000
Impairments of the contract cost asset	0	0
Deferred revenue	520,333,000	497,677,000
Revenue, remaining performance obligation, amount	1,613,000,000.0
Unrecorded
Revenue from External Customer [Line Items]
Revenue, remaining performance obligation, amount	1,092,700,000
Other Current Assets
Revenue from External Customer [Line Items]
Capitalized contract cost, net	40,700,000	40,200,000
Other Assets
Revenue from External Customer [Line Items]
Capitalized contract cost, net	77,000,000.0	$ 81,100,000
Intland Software
Revenue from External Customer [Line Items]
Deferred revenue increased	$ 6,900,000