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Summary of Significant Accounting Policies - Additional Information (Detail) $ in Millions | 12 Months Ended
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Dec. 31, 2022 USD ($) segment | Dec. 31, 2021 USD ($) | Dec. 31, 2020 USD ($)
Significant Accounting Policies [Line Items] |  |  |
Number of operating segments | segment | 2 |  |
Fixed-income securities investment portfolio, maximum effective maturity | 40 months |  |
Foreign currency net gains (losses) | $ (43.8) | $ (13.3) | $ 6.8
Accounts receivable sold under factoring arrangements | 37.0 |  |
Revenue remaining performance obligation | 1,515.4 |  |
Costs to obtain contracts | 27.4 | 31.1 |
Amortization of costs to obtain contracts | 20.8 | 17.0 | 10.1
Advertising cost | $ 222.0 | $ 325.6 | $ 161.0
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]: 2023-01-01 |  |  |
Significant Accounting Policies [Line Items] |  |  |
Expected timing (up to two years for Invisalign Go) | 6 months |  |
Invisalign | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2024-01-01 |  |  |
Significant Accounting Policies [Line Items] |  |  |
Expected timing (up to two years for Invisalign Go) | 5 years |  |
Systems and Services | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2023-01-01 |  |  |
Significant Accounting Policies [Line Items] |  |  |
Expected timing (up to two years for Invisalign Go) | 1 year |  |
Systems and Services | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2024-01-01 |  |  |
Significant Accounting Policies [Line Items] |  |  |
Expected timing (up to two years for Invisalign Go) | 5 years |  |
Minimum |  |  |
Significant Accounting Policies [Line Items] |  |  |
Estimated useful lives of intangibles | 2 years |  |
Maximum |  |  |
Significant Accounting Policies [Line Items] |  |  |
Estimated useful lives of intangibles | 15 years |  |

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