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Segment information - Revenue, Properties and Outsourcing Assets by Geographic 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
Revenues from External Customers and Long-Lived Assets [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
Properties, net	124.4				121.3				124.4	121.3	142.5
Outsourcing assets, net	202.5				216.4				202.5	216.4	202.3
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue									1,549.9	1,240.0	1,257.0
Properties, net	90.7				85.3				90.7	85.3	85.8
Outsourcing assets, net	99.9				97.6				99.9	97.6	81.1
United Kingdom
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue									334.3	360.7	315.8
Properties, net	10.5				5.3				10.5	5.3	16.7
Outsourcing assets, net	71.7				86.5				71.7	86.5	89.9
Australia
Revenues from External Customers and Long-Lived Assets [Line Items]
Outsourcing assets, net	21.5				21.7				21.5	21.7	18.1
Other foreign
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue									1,064.5	1,224.3	1,169.0
Properties, net	23.2				30.7				23.2	30.7	40.0
Outsourcing assets, net	$ 9.4				$ 10.6				$ 9.4	$ 10.6	$ 13.2

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