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Goodwill and intangible assets - Carrying Value of Goodwill (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2021	Dec. 31, 2020
Goodwill [Roll Forward]
Beginning balance	$ 108.6	$ 110.4
Acquisitions	206.3
Translation adjustments	0.1	(1.8)
Ending balance	315.0	108.6
DWS
Goodwill [Roll Forward]
Beginning balance	0.0	0.0
Acquisitions	140.8
Translation adjustments	0.1	0.0
Ending balance	140.9	0.0
DWS | Unify Square, Inc.
Goodwill [Roll Forward]
Ending balance	132.9
DWS | Mobinergy
Goodwill [Roll Forward]
Ending balance	7.9
C&I
Goodwill [Roll Forward]
Beginning balance	0.0	0.0
Acquisitions	65.5
Translation adjustments	0.0	0.0
Ending balance	65.5	0.0
C&I | CompuGain
Goodwill [Roll Forward]
Ending balance	65.5
ECS
Goodwill [Roll Forward]
Beginning balance	98.3	98.3
Acquisitions	0.0
Translation adjustments	0.0	0.0
Ending balance	98.3	98.3
Other
Goodwill [Roll Forward]
Beginning balance	10.3	12.1
Acquisitions	0.0
Translation adjustments	0.0	(1.8)
Ending balance	$ 10.3	$ 10.3

X

- Definition

Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

+ References

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Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination.

+ References

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