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