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Goodwill and Intangible Assets (Tables)
 9 Months Ended
Jun. 30, 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 
Acquired goodwill (1)
56,683 
Translation adjustments4,477 
Balance at June 30, 2023$426,307 
(1) Refer to Note 16 "Business Combination" for additional information related to our acquired goodwill.
Schedule of Finite-Lived Intangible Assets Intangible assets subject to amortization consisted of the following (in thousands):
 June 30, 2023September 30, 2022
Intangible Assets, NetCostAccumulated
Amortization		NetCostAccumulated
Amortization		Net
Acquired patents and technology$357,032 $(271,322)$85,710 $355,622 $(253,080)$102,542 
Customer relationships152,190 (60,617)91,573 66,142 (56,572)9,570 
Other intangible assets23,032 (22,981)51 22,973 (22,820)153 
Total$532,254 $(354,920)$177,334 $444,737 $(332,472)$112,265 
Schedule of Finite-Lived Intangible Assets, Future Amortization Expense As of June 30, 2023, expected amortization expense of our intangible assets in future fiscal periods was as follows (in thousands):
Fiscal Year Amortization Expense
Remainder of 2023$8,032 
202431,305 
202516,348 
202615,456 
202714,773 
Thereafter91,420 
Total$177,334