Revenue from Contracts with Customers - Contract Balances - Deferred Revenue (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Revenue from Contract with Customer [Abstract]
Contract with Customer, Liability, Current	$ 120,000	$ 105,400
Contract with Customer, Liability	126,560	110,763	$ 122,141
Contract with Customer, Liability, Revenue Recognized	(95,286)	(84,735)
Contract With Customer, Liability, Excluding Revenue Recognized	111,083	90,028
Contract with Customer, Liability, Noncurrent	6,600	5,400
Contract with Customer, Liability, Increase Decrease from Business Divestiture	$ 0	$ (16,671)