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Intangible Assets - Summary of Activity in Intangible Assets and Goodwill (Details)
$ in Thousands
 3 Months Ended
Dec. 31, 2021
USD ($)
Goodwill and Intangible Assets [Roll Forward]  
Beginning Balance $ 428,704
Currency translation adjustment 0
Intangible Assets, Net (Including Goodwill) 313,898
Ending Balance 428,704
Goodwill [Roll Forward]  
Balance at beginning of period 314,240
Currency translation adjustment (342)
Balance at end of period 313,898
Trade Names  
Indefinite Lived Intangible Assets Rollforward [Roll Forward]  
Beginning Balance 3,400
Currency translation adjustment 0
Ending Balance 3,400
Developed technology  
Finite-lived Intangible Assets [Roll Forward]  
Beginning Balance 179,434
Currency translation adjustment 0
Ending Balance 179,434
Customer relationships  
Finite-lived Intangible Assets [Roll Forward]  
Beginning Balance 245,870
Currency translation adjustment 0
Ending Balance $ 245,870