Intangible assets and goodwill (Details) - USD ($) $ in Millions	3 Months Ended
Mar. 31, 2021	Mar. 31, 2020	Dec. 31, 2020
Finite-lived intangible assets:
Gross carrying value	$ 1,551		$ 1,529
Accumulated amortization	(684)		(634)
Net carrying value	867		895
Amortization of intangible assets	51	$ 66
Customer relationships
Finite-lived intangible assets:
Gross carrying value	615		615
Accumulated amortization	(157)		(146)
Net carrying value	458		469
Backlog
Finite-lived intangible assets:
Gross carrying value	129		129
Accumulated amortization	(87)		(79)
Net carrying value	42		50
Technologies
Finite-lived intangible assets:
Gross carrying value	369		369
Accumulated amortization	(228)		(211)
Net carrying value	141		158
Software
Finite-lived intangible assets:
Gross carrying value	320		298
Accumulated amortization	(135)		(125)
Net carrying value	185		173
Image library
Finite-lived intangible assets:
Gross carrying value	80		80
Accumulated amortization	(61)		(58)
Net carrying value	19		22
Trade names and other
Finite-lived intangible assets:
Gross carrying value	38		38
Accumulated amortization	(16)		(15)
Net carrying value	$ 22		$ 23

The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

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Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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