Goodwill and Intangible Assets (Tables)

12 Months Ended

Dec. 31, 2020

The changes in the carrying amount of goodwill and accumulated impairment losses were as follows:

	2020								2019
	Gross Carrying Amount		Accumulated Impairment Loss			Net			Gross Carrying Amount			Accumulated Impairment Loss			Net
Beginning balance at January 1	$	1,202.8	$	(144.3	)	$	1,058.5		$	731.3		$	(144.3	)	$	587.0
Acquired goodwill ⁽¹⁾		—		—			—			474.0			—			474.0
Impairment of goodwill ⁽²⁾		—		(1.1	)		(1.1	)		—			—			—
Foreign currency translation		9.0		—			9.0			(2.5	)		—			(2.5	)
Ending balance at December 31	$	1,211.8	$	(145.4	)	$	1,066.4		$	1,202.8		$	(144.3	)	$	1,058.5

⁽¹⁾	During the twelve months ended December 31, 2019, the Company recorded $474.0 of goodwill related to the ESI Merger.

⁽²⁾	^{During the twelve months ended December 31, 2020, the Company recorded $1.1 of goodwill impairment charges related to the pending closure of a facility in Europe.}

Intangible Assets

Components of the Company’s acquired intangible assets are comprised of the following:

As of December 31, 2020	Gross		Accumulated Impairment Charges			Accumulated Amortization			Foreign Currency Translation			Net
Completed technology	$	446.4	$	(0.1	)	$	(209.8	)	$	(0.1	)	$	236.4
Customer relationships		308.2		(1.4	)		(104.8	)		1.7			203.7
Patents, trademarks, trade names and other		120.9		—			(48.6	)		(0.2	)		72.1
	$	875.5	$	(1.5	)	$	(363.2	)	$	1.4		$	512.2

As of December 31, 2019	Gross		Accumulated Impairment Charges			Accumulated Amortization			Foreign Currency Translation			Net
Completed technology⁽¹⁾	$	446.4	$	(0.1	)	$	(178.3	)	$	(0.2	)	$	267.8
Customer relationships⁽¹⁾		308.2		(1.4	)		(84.2	)		(1.4	)		221.2
Patents, trademarks, trade names and other⁽¹⁾		120.9		—			(45.5	)		0.2			75.6
	$	875.5	$	(1.5	)	$	(308.0	)	$	(1.4	)	$	564.6

⁽¹⁾	During the twelve months ended December 31, 2019, the Company recorded $316.2 of separately identified intangible assets related to the ESI Merger, of which $274.0 was completed technology, $25.4 was customer relationships and $16.8 was trademarks, trade names and backlog.

Aggregate net amortization expense related to acquired intangible assets for future years is: