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Segment information - Summary of Operations by Segment (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2020	Sep. 30, 2020	Jun. 30, 2020	Mar. 31, 2020	Dec. 31, 2019	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2020	Dec. 31, 2019	Dec. 31, 2018
Segment Reporting Information [Line Items]
Revenue	$ 576.9	$ 495.2	$ 438.8	$ 515.4	$ 546.8	$ 552.1	$ 569.4	$ 554.5	$ 2,026.3	$ 2,222.8	$ 2,251.2
Operating income (loss)									87.0	137.9	212.1
Depreciation and amortization									161.0	147.4	164.1
Total assets	2,707.9				2,504.0				2,707.9	2,504.0	2,457.6
Capital expenditures									130.1	159.8	189.3
Intersegment
Segment Reporting Information [Line Items]
Revenue									(16.3)	(15.2)	(24.7)
Operating Segments
Segment Reporting Information [Line Items]
Operating income (loss)									154.8	180.1	233.4
Total assets	1,302.3				1,263.4				1,302.3	1,263.4	1,254.7
Corporate
Segment Reporting Information [Line Items]
Revenue									(16.3)	(15.2)	(24.7)
Operating income (loss)									(67.8)	(42.2)	(21.3)
Total assets	1,405.6				1,240.6				1,405.6	1,240.6	1,202.9
Capital expenditures									2.5	7.1	8.0
Services
Segment Reporting Information [Line Items]
Revenue									1,692.9	1,892.7	1,857.6
Operating income (loss)									12.2	20.8	9.1
Depreciation and amortization									70.9	91.9	97.2
Total assets	850.5				864.2				850.5	864.2	846.9
Capital expenditures									49.2	74.0	92.9
Services | Intersegment
Segment Reporting Information [Line Items]
Revenue									0.0	0.0	0.0
Services | Operating Segments
Segment Reporting Information [Line Items]
Revenue									1,692.9	1,892.7	1,857.6
Technology
Segment Reporting Information [Line Items]
Revenue									333.4	330.1	393.6
Operating income (loss)									142.6	159.3	224.3
Depreciation and amortization									90.1	55.5	66.9
Total assets	$ 451.8				$ 399.2				451.8	399.2	407.8
Capital expenditures									78.4	78.7	88.4
Technology | Intersegment
Segment Reporting Information [Line Items]
Revenue									16.3	15.2	24.7
Technology | Operating Segments
Segment Reporting Information [Line Items]
Revenue									$ 349.7	$ 345.3	$ 418.3

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