Segments and Geographical Information - Segment Information (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022
Segment Reporting Information [Line Items]
Net revenues	$ 960,214	$ 890,348	$ 2,905,534	$ 2,833,120
Gross profit	663,076	619,169	2,037,339	2,016,074
Income from operations	166,346	143,656	471,793	529,934
Stock-based compensation	39,602	32,918	115,197	98,679
Depreciation and amortization	37,030	32,189	108,669	92,096
Interest income	5,522	1,685	12,280	2,607
Other income (expense), net	(9,757)	(22,700)	(15,749)	(48,805)
Net income before provision for income taxes	162,111	122,641	468,324	483,736
Operating Segments
Segment Reporting Information [Line Items]
Income from operations	341,294	303,870	1,012,533	1,020,196
Unallocated corporate expenses
Segment Reporting Information [Line Items]
Income from operations	(174,948)	(160,214)	(540,740)	(490,262)
Stock-based compensation	33,464	28,301	99,330	87,757
Depreciation and amortization	11,466	10,330	34,228	28,743
Clear Aligner
Segment Reporting Information [Line Items]
Net revenues	794,939	732,837	2,417,417	2,340,931
Gross profit	562,331	519,387	1,731,721	1,710,328
Clear Aligner | Operating Segments
Segment Reporting Information [Line Items]
Income from operations	296,319	259,434	879,933	879,362
Stock-based compensation	5,772	4,377	14,917	10,232
Depreciation and amortization	17,737	14,678	50,725	42,474
Systems and Services
Segment Reporting Information [Line Items]
Net revenues	165,275	157,511	488,117	492,189
Gross profit	100,745	99,782	305,618	305,746
Systems and Services | Operating Segments
Segment Reporting Information [Line Items]
Income from operations	44,975	44,436	132,600	140,834
Stock-based compensation	366	240	950	690
Depreciation and amortization	$ 7,827	$ 7,181	$ 23,716	$ 20,879