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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
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