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Revenue from Contracts with Customers - Contract Balances - Deferred Revenue (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Revenue from Contract with Customer [Abstract]      
Contract with Customer, Liability, Current $ 105,400 $ 115,100  
Contract with Customer, Liability 110,763 122,141 $ 116,320
Contract with Customer, Liability, Revenue Recognized (84,735) (101,640)  
Contract With Customer, Liability, Excluding Revenue Recognized 90,028 107,461  
Contract with Customer, Liability, Noncurrent 5,400 7,000  
Contract with Customer, Liability, Increase Decrease from Business Divestiture $ (16,671) $ 0