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Segment information - Customer Revenue by Classes of Similar Products or Services (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
Revenue from External Customer [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
Services                      
Revenue from External Customer [Line Items]                      
Revenue                 2,328.2 2,406.3 2,605.6
Technology                      
Revenue from External Customer [Line Items]                      
Revenue                 413.6 414.4 409.5
Cloud & infrastructure services | Services                      
Revenue from External Customer [Line Items]                      
Revenue                 1,317.0 1,352.9 1,513.1
Application services | Services                      
Revenue from External Customer [Line Items]                      
Revenue                 808.3 859.0 868.9
BPO services | Services                      
Revenue from External Customer [Line Items]                      
Revenue                 $ 202.9 $ 194.4 $ 223.6