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Summary of Significant Accounting Policies Summary of Significant Accounting Policies, Revenue Recognition (Details) - USD ($) $ / shares in Units, $ in Millions | 3 Months Ended | 12 Months Ended
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Dec. 31, 2018 | Sep. 30, 2018 | Jun. 30, 2018 | Mar. 31, 2018 | Dec. 31, 2017 | Sep. 30, 2017 | Jun. 30, 2017 | Mar. 31, 2017 | Dec. 31, 2018 | Dec. 31, 2017 | Dec. 31, 2016
Accounts Receivable, Net, Current | $ 1,854.0 |  |  |  | $ 1,739.4 |  |  |  | $ 1,854.0 | $ 1,739.4 |
Notes, Loans and Financing Receivable, Net, Current | 363.0 |  |  |  | 385.3 |  |  |  | 363.0 | 385.3 |
Accounts Receivable, Reimbursed by Client, Current | 1,540.5 |  |  |  | 1,263.3 |  |  |  | 1,540.5 | 1,263.3 |
Contract with Customer, Asset, Net, Current | 314.7 |  |  |  | 178.4 |  |  |  | 314.7 | 178.4 |
Prepaid Expense and Other Assets, Current | 321.7 |  |  |  | 389.1 |  |  |  | 321.7 | 389.1 |
Long-term receivables | 199.0 |  |  |  | 164.7 |  |  |  | 199.0 | 164.7 |
Other Assets, Noncurrent | 192.7 |  |  |  | 155.5 |  |  |  | 192.7 | 155.5 |
Accounts payable and accrued liabilities | 1,261.4 |  |  |  | 993.1 |  |  |  | 1,261.4 | 993.1 |
Accounts Payable, Reimbursed by Client, Current | 1,090.7 |  |  |  | 1,022.6 |  |  |  | 1,090.7 | 1,022.6 |
Accrued compensation & benefits | 1,604.5 |  |  |  | 1,419.1 |  |  |  | 1,604.5 | 1,419.1 |
Short-term contract liabilities and deferred income | 190.4 |  |  |  | 155.4 |  |  |  | 190.4 | 155.4 |
Other Liabilities, Current | 185.7 |  |  |  | 256.8 |  |  |  | 185.7 | 256.8 |
Deferred tax liabilities, net | 32.7 |  |  |  | 63.2 |  |  |  | 32.7 | 63.2 |
Retained earnings | 3,095.7 |  |  |  | 2,649.0 |  |  |  | 3,095.7 | 2,649.0 |
Accumulated other comprehensive loss | (456.2) |  |  |  | (341.1) |  |  |  | (456.2) | (341.1) |
Revenue Before Reimbursements |  |  |  |  |  |  |  |  | 9,089.5 | 7,967.4 | $ 6,910.6
Reimbursement Revenues |  |  |  |  |  |  |  |  | 7,228.9 | 6,485.8 | 6,080.6
Revenues | 4,889.7 | $ 3,969.8 | $ 3,903.7 | $ 3,555.2 | 4,343.0 | $ 3,522.2 | $ 3,470.3 | $ 3,117.7 | 16,318.4 | 14,453.2 | 12,991.2
Compensation and benefits |  |  |  |  |  |  |  |  | 5,206.8 | 4,622.4 | 4,040.5
Operating, administrative and other |  |  |  |  |  |  |  |  | 2,950.9 | 2,601.2 | 2,204.1
Cost of Reimbursable Expenses |  |  |  |  |  |  |  |  | 7,228.9 | 6,485.8 | 6,080.6
Operating Income (Loss) | $ 312.4 | $ 190.9 | $ 149.8 | $ 53.8 | $ 261.9 | $ 137.8 | $ 130.8 | $ 15.4 | 706.9 | 545.9 | 455.7
Other Income |  |  |  |  |  |  |  |  | 17.4 | 1.7 | 19.5
Provision for income taxes |  |  |  |  |  |  |  |  | 214.3 | 256.3 | 117.8
Net Income (Loss), Including Portion Attributable to Noncontrolling Interest |  |  |  |  |  |  |  |  | $ 491.7 | $ 279.5 | $ 345.9
Earnings Per Share, Basic | $ 4.41 | $ 2.96 | $ 2.37 | $ 0.89 | $ 1.68 | $ 2.17 | $ 2.08 | $ 0.16 | $ 10.64 | $ 6.09 | $ 7.29
Earnings Per Share, Diluted | $ 4.37 | $ 2.93 | $ 2.35 | $ 0.88 | $ 1.66 | $ 2.15 | $ 2.06 | $ 0.16 | $ 10.54 | $ 6.03 | $ 7.23
Percentage of Revenue, Constrained due to uncertainty |  |  |  |  |  |  |  |  | 5.00% |  |
Contract with Customer, Asset, Net | $ 396.2 |  |  |  | $ 236.0 |  |  |  | $ 396.2 | $ 236.0 |
Contract with Customer, Liability | $ 98.9 |  |  |  | 73.7 |  |  |  | $ 98.9 | 73.7 |
Percentage of Revenue, Remaining Performance Obligation |  |  |  |  |  |  |  |  | 5.00% |  |
Out of Scope of Topic 606 Revenue [Member] |  |  |  |  |  |  |  |  |  |  |
Fees and Commissions, Mortgage Banking and Servicing |  |  |  |  |  |  |  |  | $ 135.8 | 126.9 | $ 104.6
Transition Adjustments [Member] |  |  |  |  |  |  |  |  |  |  |
Cost of Reimbursable Expenses |  |  |  |  |  |  |  |  |  | 56.8 | 60.2
Calculated under Revenue Guidance in Effect before Topic 606 [Member] |  |  |  |  |  |  |  |  |  |  |
Accounts Receivable, Net, Current |  |  |  |  | 2,118.1 |  |  |  |  | 2,118.1 |
Notes, Loans and Financing Receivable, Net, Current |  |  |  |  | 393.6 |  |  |  |  | 393.6 |
Prepaid Expense and Other Assets, Current |  |  |  |  | 257.7 |  |  |  |  | 257.7 |
Long-term receivables |  |  |  |  | 168.6 |  |  |  |  | 168.6 |
Other Assets, Noncurrent |  |  |  |  | 97.8 |  |  |  |  | 97.8 |
Accounts payable and accrued liabilities |  |  |  |  | 1,011.6 |  |  |  |  | 1,011.6 |
Accrued compensation & benefits |  |  |  |  | 1,309.0 |  |  |  |  | 1,309.0 |
Short-term contract liabilities and deferred income |  |  |  |  | 158.9 |  |  |  |  | 158.9 |
Other Liabilities, Current |  |  |  |  | 263.8 |  |  |  |  | 263.8 |
Deferred tax liabilities, net |  |  |  |  | 23.9 |  |  |  |  | 23.9 |
Retained earnings |  |  |  |  | 2,552.8 |  |  |  |  | 2,552.8 |
Accumulated other comprehensive loss |  |  |  |  | (341.8) |  |  |  |  | (341.8) |
Revenue Before Reimbursements |  |  |  |  |  |  |  |  |  | 7,932.4 | 6,803.8
Revenues |  |  |  |  |  |  |  |  |  | 7,932.4 | 6,803.8
Compensation and benefits |  |  |  |  |  |  |  |  |  | 4,572.2 | 3,983.1
Operating, administrative and other |  |  |  |  |  |  |  |  |  | 2,625.4 | 2,169.8
Operating Income (Loss) |  |  |  |  |  |  |  |  |  | 536.9 | 440.6
Other Income |  |  |  |  |  |  |  |  |  | 0.0 | 13.3
Provision for income taxes |  |  |  |  |  |  |  |  |  | 267.8 | 108.0
Net Income (Loss), Including Portion Attributable to Noncontrolling Interest |  |  |  |  |  |  |  |  |  | $ 257.3 | $ 334.4
Earnings Per Share, Basic |  |  |  |  |  |  |  |  |  | $ 5.60 | $ 7.04
Earnings Per Share, Diluted |  |  |  |  |  |  |  |  |  | $ 5.55 | $ 6.98
Difference between Revenue Guidance in Effect before and after Topic 606 [Member] |  |  |  |  |  |  |  |  |  |  |
Accounts Receivable, Net, Current |  |  |  |  | (378.7) |  |  |  |  | $ (378.7) |
Notes, Loans and Financing Receivable, Net, Current |  |  |  |  | 8.3 |  |  |  |  | 8.3 |
Accounts Receivable, Reimbursed by Client, Current |  |  |  |  | 1,263.3 |  |  |  |  | 1,263.3 |
Contract with Customer, Asset, Net, Current |  |  |  |  | 178.4 |  |  |  |  | 178.4 |
Prepaid Expense and Other Assets, Current |  |  |  |  | 131.4 |  |  |  |  | 131.4 |
Long-term receivables |  |  |  |  | (3.9) |  |  |  |  | (3.9) |
Other Assets, Noncurrent |  |  |  |  | 57.7 |  |  |  |  | 57.7 |
Accounts payable and accrued liabilities |  |  |  |  | 18.5 |  |  |  |  | 18.5 |
Accounts Payable, Reimbursed by Client, Current |  |  |  |  | 1,022.6 |  |  |  |  | 1,022.6 |
Accrued compensation & benefits |  |  |  |  | 110.1 |  |  |  |  | 110.1 |
Short-term contract liabilities and deferred income |  |  |  |  | (3.5) |  |  |  |  | (3.5) |
Other Liabilities, Current |  |  |  |  | 7.0 |  |  |  |  | 7.0 |
Deferred tax liabilities, net |  |  |  |  | 39.3 |  |  |  |  | 39.3 |
Retained earnings |  |  |  |  | 96.2 |  |  |  |  | 96.2 |
Accumulated other comprehensive loss |  |  |  |  | $ 0.7 |  |  |  |  | 0.7 |
Revenue Before Reimbursements |  |  |  |  |  |  |  |  |  | 35.0 | $ 106.8
Reimbursement Revenues |  |  |  |  |  |  |  |  |  | 6,485.8 | 6,080.6
Revenues |  |  |  |  |  |  |  |  |  | 6,520.8 | 6,187.4
Compensation and benefits |  |  |  |  |  |  |  |  |  | 48.5 | 51.1
Operating, administrative and other |  |  |  |  |  |  |  |  |  | 24.2 | 34.3
Cost of Reimbursable Expenses |  |  |  |  |  |  |  |  |  | 6,485.8 | 6,080.6
Operating Income (Loss) |  |  |  |  |  |  |  |  |  | 10.7 | 21.4
Other Income |  |  |  |  |  |  |  |  |  | 0.0 | (0.1)
Provision for income taxes |  |  |  |  |  |  |  |  |  | (11.5) | 9.8
Net Income (Loss), Including Portion Attributable to Noncontrolling Interest |  |  |  |  |  |  |  |  |  | $ 22.2 | $ 11.5
Earnings Per Share, Basic |  |  |  |  |  |  |  |  |  | $ 0.49 | $ 0.25
Earnings Per Share, Diluted |  |  |  |  |  |  |  |  |  | $ 0.48 | $ 0.25
Adjustments for New Accounting Pronouncement [Member] |  |  |  |  |  |  |  |  |  |  |
Revenue Before Reimbursements |  |  |  |  |  |  |  |  |  | $ 0.0 | $ 0.0
Reimbursement Revenues |  |  |  |  |  |  |  |  |  | 0.0 | 0.0
Revenues |  |  |  |  |  |  |  |  |  | 0.0 | 0.0
Compensation and benefits |  |  |  |  |  |  |  |  |  | 1.7 | 6.3
Operating, administrative and other |  |  |  |  |  |  |  |  |  | 0.0 | 0.0
Cost of Reimbursable Expenses |  |  |  |  |  |  |  |  |  | 0.0 | 0.0
Operating Income (Loss) |  |  |  |  |  |  |  |  |  | (1.7) | (6.3)
Other Income |  |  |  |  |  |  |  |  |  | 1.7 | 6.3
Provision for income taxes |  |  |  |  |  |  |  |  |  | 0.0 | 0.0
Net Income (Loss), Including Portion Attributable to Noncontrolling Interest |  |  |  |  |  |  |  |  |  | $ 0.0 | $ 0.0
Earnings Per Share, Basic |  |  |  |  |  |  |  |  |  | $ 0.00 | $ 0.00
Earnings Per Share, Diluted |  |  |  |  |  |  |  |  |  | $ 0.00 | $ 0.00

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