Segment financial information - reconciliation of segment profitability measure (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Reconciliation of Management EBITDA from net loss
Net income	$ 686.5	$ 572.6	$ 116.6
Interest expense	265.8	217.4	307.6
Income tax expense (benefit)	164.6	180.4	(54.3)
Depreciation and amortization	405.5	379.2	395.4
Net foreign currency (loss) gain from financing activities	7.0	1.3	(0.7)
Net foreign currency loss (gain) from financing activities	(3.3)	3.0	1.3
Acquisition related costs	0.0	77.8	0.0
Other stock-based compensation (benefit) expense	3.5	5.3	11.8
Disgorgement Penalty	0.0	(13.0)
Loss on extinguishment of debt	12.5	12.4	346.8
Integration-related expenses2	19.2	15.9	17.1
Purchase accounting adjustments	9.4	6.3	0.0
Restructuring and severance charges4	$ 1,570.7	$ 1,458.6	$ 1,141.6