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Summary of Significant Accounting Policies (Details) $ in Thousands |  |  |  | 12 Months Ended
--- | --- | --- | --- | ---
Dec. 19, 2024 USD ($) | Apr. 22, 2024 USD ($) | Apr. 24, 2023 USD ($) | Dec. 31, 2024 USD ($) segment | Apr. 22, 2024 USD ($) | Dec. 31, 2023 USD ($) | Dec. 31, 2022 USD ($)
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Number of operating segments | segment |  |  |  | 2 |  |  |
Purchase of equity investment |  |  |  | $ 106,345 |  | $ 76,999 | $ 0
Foreign currency net losses |  |  |  | 21,000 |  | 7,000 | 43,800
Accounts receivable sold under factoring arrangements |  |  |  | 52,100 |  | 51,200 |
Costs to obtain contracts |  |  |  | 25,800 |  | 25,100 |
Amortization of costs to obtain contracts |  |  |  | 18,700 |  | 12,500 | 20,800
Revenue remaining performance obligation |  |  |  | 1,444,900 |  | 1,578,300 |
Advertising cost |  |  |  | 185,000 |  | 201,200 | $ 222,000
Heartland |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Equity interest |  |  | 5.00% |  |  |  |
Purchase of equity investment |  | $ 75,000 | $ 75,000 |  | $ 150,000 |  |
Increase to carrying value of equity investments |  |  |  | $ 6,000 |  | $ 0 |
SD Holding Company |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Equity interest | 3.00% |  |  |  |  |  |
Purchase of equity investment | $ 30,000 |  |  |  |  |  |
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]: 2025-01-01 |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Expected timing |  |  |  | 6 months |  |  |
Invisalign | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2025-07-01 |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Expected timing |  |  |  | 5 years |  |  |
Systems and Services |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Warranty period |  |  |  | 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 |  |  |  | 1 year |  |  |
Systems and Services | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2026-01-01 |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Expected timing |  |  |  | 5 years |  |  |
Minimum |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Estimated useful lives of intangibles |  |  |  | 10 years |  |  |
Maximum |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |
Estimated useful lives of intangibles |  |  |  | 12 years |  |  |

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