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Revenue from Contracts with Customers - Additional Information (Details) - USD ($)
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Revenue from External Customer [Line Items]          
Contract asset expected to be transferred to receivables within the next 12 months all        
Contract assets included in other current assets   all      
Contract with customer, asset, reclassified to receivable       $ 10,900,000  
Contract with customer, asset, increase in contract assets related to revenue recognized       7,500,000  
Deferred revenue, revenue recognized     $ 748,800,000    
Deferred revenue, additions     $ 800,600,000    
Capitalized contract cost, amortization period 5 years   5 years    
Amortization expense related to costs to obtain a contract with a customer     $ 54,000,000 52,000,000 $ 53,400,000
Impairments of the contract cost asset $ 0 $ 0 0 0  
Impairment of contract assets       0  
Deferred revenue 827,065,000 775,274,000 827,065,000 775,274,000  
Revenue, remaining performance obligation, amount 2,870,700,000   2,870,700,000    
Unrecorded          
Revenue from External Customer [Line Items]          
Revenue, remaining performance obligation, amount 2,043,600,000   2,043,600,000    
Other Current Assets          
Revenue from External Customer [Line Items]          
Capitalized contract cost, net 45,100,000 42,500,000 45,100,000 42,500,000  
Other Assets          
Revenue from External Customer [Line Items]          
Capitalized contract cost, net $ 78,200,000 $ 76,400,000 $ 78,200,000 $ 76,400,000