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Segment and Geographic Information - Segment Information (Details)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2017
USD ($)
Sep. 30, 2017
USD ($)
Jun. 30, 2017
USD ($)
Mar. 31, 2017
USD ($)
Dec. 31, 2016
USD ($)
Sep. 30, 2016
USD ($)
Jun. 30, 2016
USD ($)
Mar. 31, 2016
USD ($)
Dec. 31, 2017
USD ($)
segment
Dec. 31, 2016
USD ($)
Dec. 31, 2015
USD ($)
Summary of financial information of segments                      
Number of operating segments | segment                 3    
Revenues $ 552.7 $ 524.8 $ 629.4 $ 379.8 $ 373.7 $ 365.5 $ 373.9 $ 361.3 $ 2,086.7 $ 1,474.4 $ 1,405.0
Out-of-pocket reimbursements 41.2 37.8 26.8 25.7 25.1 21.2 16.6 19.4 131.5 82.3 69.0
Total revenues 593.9 562.6 656.2 405.5 398.8 386.7 390.5 380.7 2,218.2 1,556.7 1,474.0
Costs and expenses 481.3 472.1 525.2 326.4 296.5 289.6 320.4 306.9 1,805.0 1,213.4 1,150.2
Depreciation and amortization 35.3 34.7 34.8 23.2 26.9 22.8 24.2 22.1 128.0 96.0 91.1
Operating income (loss) 77.3 55.8 96.2 55.9 75.4 74.3 45.9 51.7 285.2 247.3 232.7
Other income (loss), net 1.8 8.7 15.5 193.0 2.7 6.7 7.0 6.3 219.0 22.7 204.5
Gain on sale of business         5.5 0.0 0.0 0.0 0.0 5.5 0.0
Equity in earnings of unconsolidated affiliates 27.2 4.2 3.9 19.2 3.3 7.0 10.2 6.7 54.5 27.2 45.4
Earnings from continuing operations before interest, income taxes and non-controlling interest                 558.7 302.7 482.6
Interest expenses 7.1 $ 6.9 $ 6.9 $ 5.9 5.5 $ 5.4 $ 6.5 $ 6.1 26.8 23.5 23.8
Assets 2,938.2       2,771.8       2,938.2 2,771.8 2,813.2
Operating                      
Summary of financial information of segments                      
Revenues                 2,086.7 1,474.4 1,405.0
Operating | Domestic Financial Services                      
Summary of financial information of segments                      
Revenues                 1,130.3 937.7 936.8
Out-of-pocket reimbursements                 111.8 73.0 60.7
Total revenues                 1,299.0 1,068.8 1,043.8
Costs and expenses                 1,072.2 829.0 792.3
Depreciation and amortization                 86.8 77.3 67.7
Operating income (loss)                 140.0 162.5 183.8
Other income (loss), net                 234.2 13.9 207.2
Gain on sale of business                   0.0  
Equity in earnings of unconsolidated affiliates                 34.7 14.3 23.8
Earnings from continuing operations before interest, income taxes and non-controlling interest                 408.9 190.7 414.8
Assets 2,212.2       2,234.9       2,212.2 2,234.9 2,438.6
Operating | International Financial Services                      
Summary of financial information of segments                      
Revenues                 537.9 110.5 91.8
Out-of-pocket reimbursements                 12.2 1.2 1.7
Total revenues                 550.6 112.1 95.1
Costs and expenses                 449.3 98.2 86.1
Depreciation and amortization                 30.7 3.1 4.8
Operating income (loss)                 70.6 10.8 4.2
Other income (loss), net                 (15.5) 8.7 (2.6)
Gain on sale of business                   5.5  
Equity in earnings of unconsolidated affiliates                 19.3 12.4 21.3
Earnings from continuing operations before interest, income taxes and non-controlling interest                 74.4 37.4 22.9
Assets 756.1       430.0       756.1 430.0 217.6
Operating | Healthcare Services                      
Summary of financial information of segments                      
Revenues                 418.5 426.2 376.4
Out-of-pocket reimbursements                 7.5 8.5 8.2
Total revenues                 426.0 434.7 384.6
Costs and expenses                 340.9 345.1 321.3
Depreciation and amortization                 10.5 15.6 18.6
Operating income (loss)                 74.6 74.0 44.7
Other income (loss), net                 0.3 0.1 (0.1)
Gain on sale of business                   0.0  
Equity in earnings of unconsolidated affiliates                 0.5 0.5 0.3
Earnings from continuing operations before interest, income taxes and non-controlling interest                 75.4 74.6 44.9
Assets 524.5       552.2       524.5 552.2 405.3
Intersegment Operating/Elimination/Adjustments                      
Summary of financial information of segments                      
Revenues                 (57.4) (58.5) (47.9)
Out-of-pocket reimbursements                 0.0 (0.4) (1.6)
Total revenues                 (57.4) (58.9) (49.5)
Costs and expenses                 (57.4) (58.9) (49.5)
Depreciation and amortization                 0.0 0.0 0.0
Operating income (loss)                 0.0 0.0 0.0
Other income (loss), net                 0.0 0.0 0.0
Gain on sale of business                   0.0  
Equity in earnings of unconsolidated affiliates                 0.0 0.0 0.0
Earnings from continuing operations before interest, income taxes and non-controlling interest                 0.0 0.0 0.0
Assets (554.6)       (517.9)       (554.6) (517.9) (543.5)
Intersegment Operating/Elimination/Adjustments | Domestic Financial Services                      
Summary of financial information of segments                      
Revenues                 56.9 58.1 46.3
Intersegment Operating/Elimination/Adjustments | International Financial Services                      
Summary of financial information of segments                      
Revenues                 0.5 0.4 1.6
Intersegment Operating/Elimination/Adjustments | Healthcare Services                      
Summary of financial information of segments                      
Revenues                 0.0 0.0 0.0
Discontinued Operations, Held-for-sale | Customer Communications                      
Summary of financial information of segments                      
Assets held for sale $ 0.0       $ 72.6       $ 0.0 $ 72.6 $ 295.2