Goodwill and Intangible Assets - Change in Carrying Value of Goodwill (Details) $ in Thousands	3 Months Ended
	Mar. 31, 2023 USD ($)
Goodwill [Roll Forward]
Balance as of December 31, 2022	$ 407,551
Foreign currency translation adjustments	6,671
Balance as of March 31, 2023	414,222
Clear Aligner
Goodwill [Roll Forward]
Balance as of December 31, 2022	109,480
Foreign currency translation adjustments	852
Balance as of March 31, 2023	110,332
Systems and Services
Goodwill [Roll Forward]
Balance as of December 31, 2022	298,071
Foreign currency translation adjustments	5,819
Balance as of March 31, 2023	$ 303,890