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Goodwill and Intangible Assets (Tables)
 6 Months Ended
Mar. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Goodwill The following table outlines changes to the carrying amount of goodwill (in thousands):
 Goodwill
Balance at September 30, 2022$365,147 
Translation adjustments4,987 
Balance at March 31, 2023$370,134 
Schedule of Finite-Lived Intangible Assets Intangible assets subject to amortization consisted of the following (in thousands):
 March 31, 2023September 30, 2022
Intangible Assets, NetCostAccumulated
Amortization		NetCostAccumulated
Amortization		Net
Acquired patents and technology$356,935 $(265,914)$91,021 $355,622 $(253,080)$102,542 
Customer relationships66,187 (58,417)7,770 66,142 (56,572)9,570 
Other intangible assets23,028 (22,943)85 22,973 (22,820)153 
Total$446,150 $(347,274)$98,876 $444,737 $(332,472)$112,265 
Schedule of Finite-Lived Intangible Assets, Future Amortization Expense As of March 31, 2023, expected amortization expense of our intangible assets in future fiscal periods was as follows (in thousands):
Fiscal Year Amortization Expense
Remainder of 2023$12,349 
202423,773 
20258,860 
20267,969 
20277,285 
Thereafter38,640 
Total$98,876