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Goodwill and intangible assets, net - Narrative (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
Finite-Lived Intangible Assets [Line Items]
Goodwill acquired			$ 60.0
Amortization expense		$ 7.4	$ 24.9	$ 1.3
Impairment charges for intangible assets	$ 9.4
Sales and marketing
Finite-Lived Intangible Assets [Line Items]
Impairment charges for intangible assets	6.3
Cost of revenue
Finite-Lived Intangible Assets [Line Items]
Impairment charges for intangible assets	$ 3.1

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- Definition

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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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.

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