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Segment Operations (Details)
$ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2020
USD ($)
Sep. 30, 2020
USD ($)
Jun. 30, 2020
USD ($)
Mar. 31, 2020
USD ($)
Dec. 31, 2019
USD ($)
Sep. 30, 2019
USD ($)
Jun. 30, 2019
USD ($)
Mar. 31, 2019
USD ($)
Dec. 31, 2020
USD ($)
numberOfPeople
Dec. 31, 2019
USD ($)
Dec. 31, 2018
USD ($)
Segments:                      
Number of Reportable Segments | numberOfPeople                 2    
EBITA                 $ 674.3 $ 1,172.0 $ 1,046.4
Total (expenses) and other income $ (49.8) $ (56.0) $ (65.4) $ (55.9) $ (63.5) $ (47.6) $ (47.7) $ (48.9) (227.1) (207.7) (170.8)
Total revenue 2,550.0 2,125.5 2,025.7 2,359.8 2,901.8 2,438.1 2,520.2 2,361.2 9,061.0 10,221.3 9,714.4
Net revenue 2,284.4 1,954.6 1,853.4 1,972.1 2,433.0 2,061.4 2,125.9 2,004.8 8,064.5 8,625.1 8,031.6
Operating Income (Loss) 223.4 248.6 40.5 75.9 491.3 280.3 264.2 50.2 588.4 1,086.0 1,008.8
Amortization of Intangible Assets                 85.9 86.0 37.6
Interest expense                 (192.2) (199.3) (123.0)
Interest income                 29.5 34.5 21.8
Other expense, net (9.8) $ (11.3) $ (21.5) $ (21.8) (24.8) $ (7.4) $ (3.8) $ (6.9) (64.4) (42.9) (69.6)
Income before income taxes                 361.3 878.3 838.0
Depreciation and amortization                 204.7 192.5 165.3
Capital expenditures                 167.5 198.5 177.1
Assets 18,042.7       17,751.9       18,042.7 17,751.9  
IAN                      
Segments:                      
EBITA                 699.1 1,115.7 1,038.8
Total revenue                 7,410.1 7,992.0 7,427.3
Net revenue                 6,921.4 7,328.8 6,720.9
Amortization of Intangible Assets                 81.5 81.6 32.2
Depreciation and amortization                 178.9 164.6 136.0
Capital expenditures                 132.0 161.8 143.7
Assets 14,784.5       15,155.2       14,784.5 15,155.2  
DXTRA                      
Segments:                      
EBITA                 56.5 158.1 183.6
Total revenue                 1,650.9 2,229.3 2,287.1
Net revenue                 1,143.1 1,296.3 1,310.7
Amortization of Intangible Assets                 4.4 4.4 5.4
Depreciation and amortization                 20.4 20.6 19.8
Capital expenditures                 8.4 13.3 13.2
Assets 1,549.2       1,725.5       1,549.2 1,725.5  
Corporate and Other                      
Segments:                      
EBITA                 (81.3) (101.8) (176.0)
Amortization of Intangible Assets                 0.0 0.0 0.0
Depreciation and amortization                 5.4 7.3 9.5
Capital expenditures                 27.1 23.4 $ 20.2
Assets $ 1,709.0       $ 871.2       $ 1,709.0 $ 871.2