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Revenue from Contracts with Customers - Additional Information (Details) - USD ($)
12 Months Ended
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 $ 16,100,000  
Contract with customer other current asset   $ 16,900,000
Contract with customer, asset, reclassified to receivable 14,700,000  
Contract with customer, asset, increase in contract assets related to revenue recognized 10,000,000  
Deferred revenue, revenue recognized 509,100,000  
Deferred revenue, additions $ 572,500,000  
Capitalized contract cost, amortization period 5 years  
Amortization expense related to costs to obtain a contract with a customer $ 53,400,000 50,900,000
Impairments of the contract cost asset 0 0
Impairment of contract assets 0  
Deferred revenue 681,550,000 520,333,000
Revenue, remaining performance obligation, amount 2,051,000,000  
Unrecorded    
Revenue from External Customer [Line Items]    
Revenue, remaining performance obligation, amount 1,369,400,000  
Other Current Assets    
Revenue from External Customer [Line Items]    
Capitalized contract cost, net 41,800,000 40,700,000
Other Assets    
Revenue from External Customer [Line Items]    
Capitalized contract cost, net 78,700,000 $ 77,000,000
Servicemax Inc. acquisition    
Revenue from External Customer [Line Items]    
Addition to the acquisition of deferred revenue $ 97,800,000