Segment and Geographic Information - Net Revenues Based upon Source of Order by Geographic Area (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	$ 555,498	$ 513,703	$ 388,537
North America
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	373,611	323,982	256,174
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	370,600	320,800	253,500
Europe
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	104,824	108,805	74,155
China
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	48,094	45,743	34,016
Asia / Pacific / Other
Revenues from External Customers and Long-Lived Assets [Line Items]
Total revenue	$ 28,969	$ 35,173	$ 24,192