	(Dollars in millions)
Balance at December 31, 2018	$	1,927.4
Acquisitions		25.7
Translation		20.4
Balance at December 31, 2019		1,973.5
Acquisition		42.7
Translation		15.6
Balance at December 31, 2020	$	2,031.8
Tax-deductible goodwill at December 31, 2020	$	23.0

We perform an impairment assessment of our goodwill balances as of October 1 of each year. Goodwill impairment testing is performed at the reporting unit level, which is the operating segment level or one level below. We performed a qualitative assessment as of October 1, 2020 and concluded that it is not more likely than not that the fair value of our reporting unit is less than its carrying amount.

	December 31, 2020
	Gross Carrying Amount		Accumulated Amortization			Net		Estimated Life Range (Years)
	(Dollars in millions)
Customer lists and relationships	$	229.0	$	(212.1	)	$	16.9	5-15
Trade name		177.7		(2.5	)		175.2	3-5 and Indefinite
Technology		159.5		(156.6	)		2.9	3-4
Total other intangible assets	$	566.2	$	(371.2	)	$	195.0

	December 31, 2019
	Gross Carrying Amount		Accumulated Amortization			Net		Estimated Life Range (Years)
	(Dollars in millions)
Customer lists and relationships	$	212.5	$	(208.2	)	$	4.3	5-15
Trade name		174.0		(2.1	)		171.9	3 and Indefinite
Technology		156.1		(154.4	)		1.7	3-4
Total other intangible assets	$	542.6	$	(364.7	)	$	177.9

We perform an impairment assessment of our indefinite-lived intangible assets as of October 1 of each year. We performed a qualitative assessment as of October 1, 2020 and concluded that it is not more likely than not that the fair value of our trade name intangible assets with indefinite lives exceeded their respective carrying amounts. We continue to evaluate the use of our trade names and branding in our sales and marketing efforts. If there is a fundamental shift in the method of our branding in the future, we will assess the impact on the carrying amount of our trade name intangible assets to determine whether an impairment exists. If it is determined that an impairment has occurred, it would be recognized during the period in which the decision was made to make the fundamental shift.

Amortization expense related to definite-lived intangible assets was $3.8 million, $16.2 million, and $18.5 million for the years ended December 31, 2020, 2019, and 2018, respectively. We estimate the future amortization of other intangible assets is as follows:

Years Ending December 31,	Amount
	(Dollars in millions)
2021	$	6.2
2022		5.8
2023		5.0
2024		4.3
2025		1.8

Long-lived assets consist of right of use lease asset, property, plant and equipment, net, goodwill, and other intangible assets, net. Long-lived assets by country consist of the following:

	December 31,
	2020		2019
	(Dollars in millions)
United States	$	1,796.9	$	1,800.5
Canada		488.6		481.2
Other		105.6		30.0
Total long-lived assets	$	2,391.1	$	2,311.7