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Segment information - Summary of Operations by Segment (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2019	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Segment Reporting Information [Line Items]
Revenue	$ 741.5	$ 757.6	$ 753.8	$ 695.8	$ 760.9	$ 688.3	$ 667.4	$ 708.4	$ 2,948.7	$ 2,825.0	$ 2,741.8
Operating income (loss)									238.2	284.1	97.1
Depreciation and amortization									147.4	164.1	156.5
Total assets	2,504.0				2,457.6				2,504.0	2,457.6	2,542.4
Capital expenditures									159.8	189.3	176.5
Intersegment
Segment Reporting Information [Line Items]
Revenue									(15.2)	(24.7)	(25.9)
Operating Segments
Segment Reporting Information [Line Items]
Operating income (loss)									280.4	305.4	235.4
Total assets	1,450.9				1,436.6				1,450.9	1,436.6	1,364.5
Corporate
Segment Reporting Information [Line Items]
Revenue									(15.2)	(24.7)	(25.9)
Operating income (loss)									(42.2)	(21.3)	(138.3)
Total assets	1,053.1				1,021.0				1,053.1	1,021.0	1,177.9
Capital expenditures									7.1	8.0	4.3
Services
Segment Reporting Information [Line Items]
Revenue									2,552.7	2,386.3	2,328.2
Operating income (loss)									108.2	67.6	64.8
Depreciation and amortization									91.9	97.2	84.6
Total assets	1,037.7				1,013.1				1,037.7	1,013.1	985.9
Capital expenditures									74.0	92.9	102.7
Services | Intersegment
Segment Reporting Information [Line Items]
Revenue									0.0	0.0	0.0
Services | Operating Segments
Segment Reporting Information [Line Items]
Revenue									2,552.7	2,386.3	2,328.2
Technology
Segment Reporting Information [Line Items]
Revenue									396.0	438.7	413.6
Operating income (loss)									172.2	237.8	170.6
Depreciation and amortization									55.5	66.9	71.9
Total assets	$ 413.2				$ 423.5				413.2	423.5	378.6
Capital expenditures									78.7	88.4	69.5
Technology | Intersegment
Segment Reporting Information [Line Items]
Revenue									15.2	24.7	25.9
Technology | Operating Segments
Segment Reporting Information [Line Items]
Revenue									$ 411.2	$ 463.4	$ 439.5

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Sum of the carrying amounts as of the balance sheet date of all assets that are recognized. Assets are probable future economic benefits obtained or controlled by an entity as a result of past transactions or events.

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