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Summary of Significant Accounting Policies, Revenue Recognition (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Contract Liability [Abstract]      
Beginning contract liability $ 46,610 $ 17,280  
Revenue recognized from contract liabilities included in the beginning balance (43,777) (16,873)  
Increases due to business combinations and cash received, net of amounts recognized in revenue during the period 62,627 46,203  
Ending contract liability 65,460 46,610 $ 17,280
Contract Asset [Abstract]      
Contract asset $ 3,700 $ 2,300  
Timing of Revenue [Abstract]      
Percentage on Timing of Revenue Recognition 100.00% 100.00% 100.00%
Transferred at Point in Time [Member]      
Timing of Revenue [Abstract]      
Percentage on Timing of Revenue Recognition 94.40% 93.90% 95.50%
Transferred over Time [Member]      
Timing of Revenue [Abstract]      
Percentage on Timing of Revenue Recognition 5.60% 6.10% 4.50%