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Summary of Significant Accounting Policies - Additional Information (Detail) $ / shares in Units, $ in Thousands |  |  |  |  |  | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | --- | ---
Jan. 02, 2024 USD ($) | Sep. 08, 2023 USD ($) | Apr. 24, 2023 USD ($) | Oct. 27, 2022 USD ($) | Mar. 12, 2021 USD ($) | Dec. 31, 2023 USD ($) segment $ / shares | Dec. 31, 2022 USD ($) $ / shares | Dec. 31, 2021 USD ($) $ / shares | Sep. 30, 2023 | Jun. 30, 2023
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Number of operating segments | segment |  |  |  |  |  | 2 |  |  |  |
Depreciation |  |  |  |  |  | $ (126,000) | $ (109,800) | $ (92,100) |  |
Fixed-income securities investment portfolio, maximum effective maturity |  |  |  |  |  | 40 months |  |  |  |
Foreign currency net gains (losses) |  |  |  |  |  | $ (7,000) | (43,800) | (13,300) |  |
Accounts receivable sold under factoring arrangements |  |  |  |  |  | 51,200 | 37,000 |  |  |
Costs to obtain contracts |  |  |  |  |  | 25,100 | 27,400 |  |  |
Amortization of costs to obtain contracts |  |  |  |  |  | 12,500 | 20,800 | 17,000 |  |
Revenue remaining performance obligation |  |  |  |  |  | 1,578,300 | 1,515,400 |  |  |
Amount awarded |  | $ 63,000 |  | $ 63,000 | $ 43,400 |  |  |  |  |
Settlement gain |  |  |  |  |  | 0 | 0 | 43,403 |  |
Advertising cost |  |  |  |  |  | 201,200 | 222,000 | 325,600 |  |
Purchase of equity investment |  |  |  |  |  | 76,999 | 0 | 0 |  |
Net income |  |  |  |  |  | $ 445,053 | $ 361,573 | $ 772,020 |  |
Basic (usd per share) | $ / shares |  |  |  |  |  | $ 5.82 | $ 4.62 | $ 9.78 |  |
Diluted (usd per share) | $ / shares |  |  |  |  |  | $ 5.81 | $ 4.61 | $ 9.69 |  |
Cubicure | Subsequent Event |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Purchase price | $ 87,000 |  |  |  |  |  |  |  |  |
Heartland |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Equity interest |  |  | 5.00% |  |  |  |  |  |  |
Purchase of equity investment |  |  | $ 75,000 |  |  |  |  |  |  |
Investments in equity securities |  |  |  |  |  | $ 75,000 |  |  |  |
Service Life |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Depreciation |  |  |  |  |  | 5,400 |  |  |  |
Net income |  |  |  |  |  | $ 3,700 |  |  |  |
Basic (usd per share) | $ / shares |  |  |  |  |  | $ 0.05 |  |  |  |
Diluted (usd per share) | $ / shares |  |  |  |  |  | $ 0.05 |  |  |  |
Service Life | Clinical and manufacturing equipment |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful life |  |  |  |  |  |  |  |  | 13 years | 10 years
Clear Aligner |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Warranty period |  |  |  |  |  | 3 months |  |  |  |
Intraoral Scanners |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Warranty period |  |  |  |  |  | 1 year |  |  |  |
CAD/CAM Software |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Warranty period |  |  |  |  |  | 1 year |  |  |  |
Invisalign | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2024-01-01 |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Expected timing |  |  |  |  |  | 6 months |  |  |  |
Invisalign | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2024-07-01 |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Expected timing |  |  |  |  |  | 5 years |  |  |  |
Systems and Services | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2024-01-01 |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Expected timing |  |  |  |  |  | 1 year |  |  |  |
Systems and Services | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2025-01-01 |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Expected timing |  |  |  |  |  | 5 years |  |  |  |
Minimum |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful lives of intangibles |  |  |  |  |  | 8 years |  |  |  |
Maximum |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful lives of intangibles |  |  |  |  |  | 10 years |  |  |  |
Maximum | Clinical and manufacturing equipment |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |
Estimated useful life |  |  |  |  |  | 13 years |  |  |  |

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