Income taxes - Reconciliation (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Income Tax Disclosure [Abstract]
U.S.	$ (442.6)	$ 100.1	$ 368.2
International	224.0	203.3	43.7
Earnings (Losses) before taxes on income	(218.6)	303.4	411.9
Federal tax at statutory rates	(46.0)	63.5	86.5
State taxes, net of federal benefit	(13.5)	14.1	23.7
Impact of foreign operations	(7.2)	(18.7)	(7.7)
Change in valuation allowance	37.8	8.2	1.6
Tax credits	(3.5)	(4.7)	(7.4)
Stock compensation	4.7	(3.9)	(6.3)
Goodwill Impairments	1.8	8.3	0.0
Adjustment of prior year taxes	(1.8)	0.8	(2.2)
Transaction costs	0.0	0.1	6.0
Compensation limitation	0.7	2.9	2.2
Unrecognized tax benefit	(9.0)	1.2	2.2
GILTI, net	20.7	13.0	5.4
Foreign withholding tax	4.7	0.0	0.0
Permanent differences	3.2	(1.2)	2.1
Income tax (benefit) provision	$ (7.4)	$ 83.7	$ 106.1

Effective Income Tax Rate Reconciliation, Compensation Limitation, Amount

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Amount of reported income tax expense from difference to expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to global intangible low-taxed income (GILTI).

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Amount, before tax, of income (loss) attributable to parent. Includes, but is not limited to, income (loss) from continuing operations, discontinued operations and equity method investments.

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The portion of earnings or loss from continuing operations before income taxes that is attributable to domestic operations.

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The portion of earnings or loss from continuing operations before income taxes that is attributable to foreign operations, which is defined as Income or Loss generated from operations located outside the entity's country of domicile.

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Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to tax credits. Including, but not limited to, research credit, foreign tax credit, investment tax credit, and other tax credits.

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