Goodwill and Other Intangible Assets (Tables)

9 Months Ended

12 Months Ended

Sep. 30, 2020

Dec. 31, 2019

Goodwill and Intangible Assets Disclosure [Abstract]

Schedule of changes in the carrying amount of goodwill

The changes in the carrying amount of goodwill for the nine months ended September 30, 2020 are as follows:


Balance, December 31, 2019	$	480,065
Acquisitions		58,315
Foreign currency translation adjustments		3,935
Other adjustments		(76)
Balance, September 30, 2020	$	542,239


Balance, December 31, 2017	$	336,982
Acquisitions		123,144
Foreign currency translation adjustments		(13,808)
Balance, December 31, 2018		446,318
Acquisitions		34,041
Foreign currency translation adjustments		(321)
Other adjustments		27
Balance, December 31, 2019	$	480,065

Schedule of intangible assets other than goodwill

Details of intangible assets other than goodwill as of December 31, 2019 and September 30, 2020 are as follows:


		December 31, 2019						September 30, 2020
		Gross						Gross
	Estimated	Carrying		Accumulated		Net Book		Carrying		Accumulated		Net Book
	Useful Life	Amount		Amortization		Value		Amount		Amortization		Value
Intangible assets subject to amortization:
Software and technology	3 years	$	66,063	$	(58,866)	$	7,197	$	68,650	$	(62,661)	$	5,989
Customer relationships	3‑10 years		88,904		(59,744)		29,160		98,602		(68,217)		30,385
Trademarks	3‑10 years		22,278		(12,461)		9,817		25,353		(15,466)		9,887
Non-compete agreements	5 years		150		(11)		139		350		(51)		299
Total intangible assets		$	177,395	$	(131,082)	$	46,313	$	192,955	$	(146,395)	$	46,560


		As of December 31, 2018						As of December 31, 2019
		Gross						Gross
	Estimated	Carrying		Accumulated		Net Book		Carrying		Accumulated		Net Book
	Useful Life	Amount		Amortization		Value		Amount		Amortization		Value
Intangible assets subject to amortization
Software and technology	3 years	$	66,251	$	(57,937)	$	8,314	$	66,063	$	(58,866)	$	7,197
Customer relationships	3 – 10 years		86,364		(52,753)		33,611		88,904		(59,744)		29,160
Trademarks	3 – 10 years		20,799		(8,952)		11,847		22,278		(12,461)		9,817
Non-compete agreements	5 years		—		—		—		150		(11)		139
			173,414		(119,642)		53,772		177,395		(131,082)		46,313
Intangible assets not subject to amortization
In-process research and development			229		—		229		—		—		—
Total intangible assets		$	173,643	$	(119,642)	$	54,001	$	177,395	$	(131,082)	$	46,313

Schedule of aggregate amortization expense for purchased intangible assets with finite lives

The aggregate amortization expense for purchased intangible assets with finite lives recorded for the nine months ended September 30, 2019 and 2020 was reflected in our consolidated statements of operations as follows:


	Nine Months Ended
	September 30,
	2019		2020
Cost of subscriptions and licenses	$	2,760	$	3,426
Amortization of purchased intangibles		10,402		10,984
Total amortization expense	$	13,162	$	14,410


	Year Ended
	December 31,
	2018		2019
Cost of subscriptions and licenses	$	2,840	$	3,795
Amortization of purchased intangibles		14,000		14,213
Total amortization expense	$	16,840	$	18,008

Schedule of amortization expense


2020	$	17,422
2021		11,963
2022		8,543
2023		3,798
2024		2,058
Thereafter		2,529
	$	46,313