Defined benefit and 401(k) savings plan (Tables)

12 Months Ended

Dec. 31, 2022

Retirement Benefits [Abstract]

Summary of Funded Status of the Swiss Plan

The funded status of the Swiss Plan is as follows:

	Year Ended December 31,
	2022		2021
Change in Plan Assets:
Fair value of plan assets, beginning of period	$	29.3	$	27.6
Employer contributions	1.5		1.4
Employee contributions	0.9		0.9
Net benefits received	3.4		0.5
Actual return on plan assets	(0.4)		(0.1)
Settlements	(5.0)		—
Currency impact	(0.4)		(1.0)
Fair value of plan assets, end of period	$	29.3	$	29.3
Change in Benefit Obligation:
Projected benefit obligation, beginning of period	$	46.8	$	49.2
Service cost	1.9		2.4
Interest Cost	0.1		—
Employee contributions	0.9		0.9
Actuarial gain	(10.0)		(4.6)
Net benefits received	3.4		0.5
Settlements	(5.0)		—
Currency impact	(0.9)		(1.6)
Projected benefit obligation, end of period	$	37.2	$	46.8
Funded status, end of period	$	(7.9)	$	(17.5)
Accumulated benefit obligation, end of period	$	34.0	$	41.8

Components of Net Periodic Pension Cost

Components of net periodic pension cost incurred during the years ended December 31, 2022, 2021 and 2020 are as follows:

	Year Ended December 31,
	2022		2021		2020
Service cost	$	1.9	$	2.4	$	1.9
Interest cost	0.1		—		0.1
Expected return on plan assets	(0.8)		(0.8)		(0.6)
Amortization of loss	0.1		0.6		0.2
Amortization of prior service credit	(0.1)		(0.2)		(0.2)
Settlements	(0.4)		—		1.0
Net periodic benefit cost	$	0.8	$	2.0	$	2.4

Schedule of Weighted Average Assumptions

The weighted average assumptions used to calculate the projected benefit obligations are as follows:

	December 31, 2022		December 31, 2021
Discount rate	2.1	%	0.3	%
Expected rate of return	3.5	%	3.0	%
Rate of future compensation increases	1.8	%	1.4	%

Schedule of Accumulated Other Comprehensive Loss Before Income Tax

The following table presents gains (losses) recognized in accumulated other comprehensive income (loss) before income tax related to the Company’s defined benefit pension plans:

	Year Ended December 31,
	2022		2021
Net actuarial gain	$	9.0	$	5.9
Prior service cost	(0.3)		(1.3)
Total recognized in other comprehensive income (loss)	$	8.7	$	4.6

Schedule of Expected Future Benefits Payments

Future benefits expected to be paid as of December 31, 2022 are as follows:

Year	As of December 31, 2022
2023	$	1.8
2024	1.8
2025	2.0
2026	1.9
2027	2.1
Thereafter	27.6
Total	$	37.2