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Segment information - Summary of Operations by Segment (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Segment Reporting Information [Line Items]                      
Revenue $ 744.8 $ 666.3 $ 666.2 $ 664.5 $ 721.7 $ 683.3 $ 748.9 $ 666.8 $ 2,741.8 $ 2,820.7 $ 3,015.1
Operating income (loss)                 4.6 47.6 (55.1)
Depreciation and amortization                 156.5 155.6 180.1
Total assets 2,542.4       2,021.6       2,542.4 2,021.6 2,130.0
Capital expenditures                 176.5 147.1 213.7
Intersegment                      
Segment Reporting Information [Line Items]                      
Revenue                 (25.9) (22.6) (49.0)
Operating Segments                      
Segment Reporting Information [Line Items]                      
Operating income (loss)                 235.4 208.4 174.9
Total assets 1,364.5       1,339.0       1,364.5 1,339.0 1,486.0
Corporate                      
Segment Reporting Information [Line Items]                      
Revenue                 (25.9) (22.6) (49.0)
Operating income (loss)                 (230.8) (160.8) (230.0)
Total assets 1,177.9       682.6       1,177.9 682.6 644.0
Capital expenditures                 4.3 3.0 1.9
Services                      
Segment Reporting Information [Line Items]                      
Revenue                 2,328.2 2,406.3 2,605.6
Operating income (loss)                 64.8 46.9 61.2
Depreciation and amortization                 84.6 81.8 104.8
Total assets 985.9       963.3       985.9 963.3 1,081.7
Capital expenditures                 102.7 74.8 143.3
Services | Intersegment                      
Segment Reporting Information [Line Items]                      
Revenue                 0.0 0.0 0.1
Services | Operating Segments                      
Segment Reporting Information [Line Items]                      
Revenue                 2,328.2 2,406.3 2,605.7
Technology                      
Segment Reporting Information [Line Items]                      
Revenue                 413.6 414.4 409.5
Operating income (loss)                 170.6 161.5 113.7
Depreciation and amortization                 71.9 73.8 75.3
Total assets $ 378.6       $ 375.7       378.6 375.7 404.3
Capital expenditures                 69.5 69.3 68.5
Technology | Intersegment                      
Segment Reporting Information [Line Items]                      
Revenue                 25.9 22.6 48.9
Technology | Operating Segments                      
Segment Reporting Information [Line Items]                      
Revenue                 $ 439.5 $ 437.0 $ 458.4