Revenue from Contracts with Customers - Additional Information (Details) - USD ($)	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	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	$ 14,400,000
Contract with customer other current asset		$ 16,100,000
Contract with customer, asset, reclassified to receivable		12,300,000
Contract with customer, asset, increase in contract assets related to revenue recognized		10,200,000
Deferred revenue, revenue recognized	645,500,000
Deferred revenue, additions	$ 738,200,000
Capitalized contract cost, amortization period	5 years
Amortization expense related to costs to obtain a contract with a customer	$ 52,000,000	53,400,000	$ 50,900,000
Impairments of the contract cost asset	0	0
Impairment of contract assets	0
Deferred revenue	775,274,000	681,550,000
Revenue, remaining performance obligation, amount	(2,269,300,000)
Unrecorded
Revenue from External Customer [Line Items]
Revenue, remaining performance obligation, amount	(1,494,000,000)
Other Current Assets
Revenue from External Customer [Line Items]
Capitalized contract cost, net	42,500,000	41,800,000
Other Assets
Revenue from External Customer [Line Items]
Capitalized contract cost, net	$ 76,400,000	$ 78,700,000