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Segments and Geographical Information - Segment Information (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Segment Reporting Information [Line Items]        
Net revenues $ 977,872 $ 960,214 $ 3,003,793 $ 2,905,534
Gross profit 681,774 663,076 2,102,218 2,037,339
Income from operations 162,298 166,346 463,479 471,793
Stock-based compensation 49,039 39,602 134,855 115,197
Depreciation and amortization 37,793 37,030 106,905 108,669
Interest income 4,003 5,522 11,696 12,280
Other income (expense), net (371) (9,757) (6,993) (15,749)
Net income before provision for income taxes 165,930 162,111 468,182 468,324
Operating Segments        
Segment Reporting Information [Line Items]        
Income from operations 345,063 341,294 1,051,410 1,012,533
Unallocated corporate expenses        
Segment Reporting Information [Line Items]        
Income from operations (182,765) (174,948) (587,931) (540,740)
Stock-based compensation 40,964 33,464 113,617 99,330
Depreciation and amortization 11,723 11,466 34,871 34,228
Clear Aligner        
Segment Reporting Information [Line Items]        
Net revenues 786,844 794,939 2,435,833 2,417,417
Gross profit 552,841 562,331 1,720,524 1,731,721
Clear Aligner | Operating Segments        
Segment Reporting Information [Line Items]        
Income from operations 276,319 296,319 862,183 879,933
Stock-based compensation 7,648 5,772 20,031 14,917
Depreciation and amortization 17,971 17,737 49,027 50,725
Systems and Services        
Segment Reporting Information [Line Items]        
Net revenues 191,028 165,275 567,960 488,117
Gross profit 128,933 100,745 381,694 305,618
Systems and Services | Operating Segments        
Segment Reporting Information [Line Items]        
Income from operations 68,744 44,975 189,227 132,600
Stock-based compensation 427 366 1,207 950
Depreciation and amortization $ 8,099 $ 7,827 $ 23,007 $ 23,716