Goodwill and Purchased Intangible Assets (Tables)

12 Months Ended

Dec. 31, 2020

Goodwill and Intangible Assets Disclosure [Abstract]

Schedule of Goodwill

The Company's goodwill activity was as follows (in millions):

	Total
December 31, 2018	$	3,108.8
Additions due to business combinations	228.3
December 31, 2019	3,337.1
Additions due to business combinations	332.5
December 31, 2020	$	3,669.6

Schedule of Acquired Indefinite-Lived Intangible Assets by Major Class

The Company’s purchased intangible assets, net, were as follows (in millions):

	As of December 31, 2020								As of December 31, 2019
	Gross		Accumulated Amortization		Accumulated Impairments and Other Charges		Net		Gross		Accumulated Amortization		Accumulated Impairments and Other Charges		Net
Finite-lived intangible assets:
Technologies and patents	$	823.5	$	(598.2)	$	(55.1)	$	170.2	$	729.1	$	(564.0)	$	(49.9)	$	115.2
Customer contracts, support agreements, and related relationships	129.2		(84.4)		(2.8)		42.0		98.6		(79.3)		(2.8)		16.5
Trade names and other	9.6		(4.1)		—		5.5		7.9		(2.8)		—		5.1
Total	962.3		(686.7)		(57.9)		217.7		835.6		(646.1)		(52.7)		136.8
Indefinite-lived intangible assets:
IPR&D	49.0		—		—		49.0		49.0		—		—		49.0
Total purchased intangible assets	$	1,011.3	$	(686.7)	$	(57.9)	$	266.7	$	884.6	$	(646.1)	$	(52.7)	$	185.8

Schedule of Acquired Finite-Lived Intangible Assets by Major Class

The Company’s purchased intangible assets, net, were as follows (in millions):

	As of December 31, 2020								As of December 31, 2019
	Gross		Accumulated Amortization		Accumulated Impairments and Other Charges		Net		Gross		Accumulated Amortization		Accumulated Impairments and Other Charges		Net
Finite-lived intangible assets:
Technologies and patents	$	823.5	$	(598.2)	$	(55.1)	$	170.2	$	729.1	$	(564.0)	$	(49.9)	$	115.2
Customer contracts, support agreements, and related relationships	129.2		(84.4)		(2.8)		42.0		98.6		(79.3)		(2.8)		16.5
Trade names and other	9.6		(4.1)		—		5.5		7.9		(2.8)		—		5.1
Total	962.3		(686.7)		(57.9)		217.7		835.6		(646.1)		(52.7)		136.8
Indefinite-lived intangible assets:
IPR&D	49.0		—		—		49.0		49.0		—		—		49.0
Total purchased intangible assets	$	1,011.3	$	(686.7)	$	(57.9)	$	266.7	$	884.6	$	(646.1)	$	(52.7)	$	185.8

Estimated Future Amortization Expense of Purchased Intangible Assets with Finite Lives

As of December 31, 2020, the estimated future amortization expense of purchased intangible assets with finite lives is as follows (in millions):

Years Ending December 31,	Amount
2021	$	60.0
2022	54.0
2023	50.8
2024	31.3
2025	21.6
Total	$	217.7