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Revenue from Contracts with Customers - Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Disaggregation Of Revenue [Line Items]      
Revenue $ 2,097,053 $ 1,933,347 $ 1,807,159
Recurring revenue      
Disaggregation Of Revenue [Line Items]      
Revenue [1] 1,907,918 1,736,188 1,616,328
Perpetual license      
Disaggregation Of Revenue [Line Items]      
Revenue 38,640 34,065 33,013
Professional services      
Disaggregation Of Revenue [Line Items]      
Professional services $ 150,495 $ 163,094 $ 157,818
[1] Recurring revenue is comprised of on-premises subscription, perpetual support, SaaS, and cloud services revenue.