Percentage of voting equity interests acquired at the acquisition date in the business combination.

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- Definition

This element represents acquisition-related costs incurred to effect a business combination which costs have been expensed during the period. Such costs include finder's fees; advisory, legal, accounting, valuation, and other professional or consulting fees; general administrative costs, including the costs of maintaining an internal acquisitions department; and may include costs of registering and issuing debt and equity securities.

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- Definition

The cash outflow associated with the acquisition of business during the period. The cash portion only of the acquisition price.

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- Definition

The cash outflow associated with the acquisition of a business, net of the cash acquired from the purchase.

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Acquisitions - Additional Information (Details) - USD ($) $ in Thousands				12 Months Ended
	Oct. 01, 2021	Dec. 01, 2020	Apr. 01, 2020	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2019
Cash				$ 522,210
Payments to Acquire Businesses, Net of Cash Acquired				510,805	$ 572,328	$ 787,196
Acquisition costs				6,000	$ 5,100
Zemax, LLC
Percentage of shares acquired	100.00%
Cash	$ 411,471
Payments to Acquire Businesses, Net of Cash Acquired	$ 399,100
Series of Individually Immaterial Business Acquisitions
Cash				$ 110,739
Analytical Graphics, Inc.
Percentage of shares acquired		100.00%
Cash		$ 720,100
Lumerical
Percentage of shares acquired			100.00%
Cash			$ 107,500