Summary of Significant Accounting Policies - Additional Information (Detail) $ in Millions	12 Months Ended
	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