Segments and Geographical Information - Non-Cash Expenses (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2024	Dec. 31, 2023	Dec. 31, 2022
Segment Reporting Information [Line Items]
Stock-based compensation	$ 173,703	$ 154,026	$ 133,367
Depreciation and amortization	145,034	142,401	125,793
Operating Segments | Clear Aligner
Segment Reporting Information [Line Items]
Stock-based compensation	22,888	13,963	14,816
Depreciation and amortization	67,450	64,781	57,888
Operating Segments | Systems and Services
Segment Reporting Information [Line Items]
Stock-based compensation	1,595	1,293	994
Depreciation and amortization	30,998	31,518	28,300
Unallocated corporate expense
Segment Reporting Information [Line Items]
Stock-based compensation	149,220	138,770	117,557
Depreciation and amortization	$ 46,586	$ 46,102	$ 39,605