Intangible assets (Details) - USD ($) $ in Millions	3 Months Ended
Mar. 31, 2023	Mar. 31, 2022	Dec. 31, 2022
Finite-lived intangible assets:
Gross carrying value	$ 1,175		$ 1,153
Accumulated amortization	(453)		(435)
Net carrying value	722		718
Amortization of intangible assets	21	$ 49
Customer relationships
Finite-lived intangible assets:
Gross carrying value	615		615
Accumulated amortization	(245)		(234)
Net carrying value	370		381
Software
Finite-lived intangible assets:
Gross carrying value	483		461
Accumulated amortization	(179)		(174)
Net carrying value	304		287
Technologies
Finite-lived intangible assets:
Gross carrying value	49		49
Accumulated amortization	(15)		(14)
Net carrying value	34		35
Backlog
Finite-lived intangible assets:
Gross carrying value	28		28
Accumulated amortization	(14)		(13)
Net carrying value	$ 14		$ 15

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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