Segments and Geographical Information - Segment Information (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Segment Reporting Information [Line Items]
Net revenues	$ 890,348	$ 1,015,906	$ 2,833,120	$ 2,921,485
Gross profit	619,169	755,156	2,016,074	2,190,792
Income from operations	143,656	261,160	529,934	755,508
Stock-based compensation	32,918	28,402	98,679	84,498
Depreciation and amortization	32,189	27,614	92,096	79,141
Interest income	1,685	401	2,607	2,427
Other income (expense), net	(22,700)	427	(48,805)	34,476
Net income before provision for income taxes	122,641	261,988	483,736	792,411
Operating Segments
Segment Reporting Information [Line Items]
Income from operations	303,870	412,748	1,020,196	1,199,742
Unallocated corporate expenses
Segment Reporting Information [Line Items]
Income from operations	(160,214)	(151,588)	(490,262)	(444,234)
Stock-based compensation	28,301	25,409	87,757	76,234
Depreciation and amortization	10,330	8,596	28,743	27,666
Clear Aligner
Segment Reporting Information [Line Items]
Net revenues	732,837	837,593	2,340,931	2,431,821
Gross profit	519,387	638,169	1,710,328	1,869,368
Clear Aligner | Operating Segments
Segment Reporting Information [Line Items]
Income from operations	259,434	346,957	879,362	1,022,048
Stock-based compensation	4,377	2,824	10,232	7,750
Depreciation and amortization	14,678	13,191	42,474	36,481
Systems and Services
Segment Reporting Information [Line Items]
Net revenues	157,511	178,313	492,189	489,664
Gross profit	99,782	116,987	305,746	321,424
Systems and Services | Operating Segments
Segment Reporting Information [Line Items]
Income from operations	44,436	65,791	140,834	177,694
Stock-based compensation	240	169	690	514
Depreciation and amortization	$ 7,181	$ 5,827	$ 20,879	$ 14,994