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Goodwill and Intangible Assets - Change in the Carrying Value of Goodwill (Detail) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Goodwill [Roll Forward]    
Beginning Balance $ 418,547 $ 444,817
Additions from acquisition 8,729 3,646
Foreign currency translation adjustments (19,725) (29,916)
Ending Balance 407,551 418,547
Clear Aligner    
Goodwill [Roll Forward]    
Beginning Balance 112,208 112,691
Additions from acquisition 0 3,646
Foreign currency translation adjustments (2,728) (4,129)
Ending Balance 109,480 112,208
Systems and Services    
Goodwill [Roll Forward]    
Beginning Balance 306,339 332,126
Additions from acquisition 8,729 0
Foreign currency translation adjustments (16,997) (25,787)
Ending Balance $ 298,071 $ 306,339