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Goodwill and Other Intangible Assets (Other Intangible Assets) (Details) - USD ($) $ in Millions | Mar. 31, 2021 | Dec. 31, 2020
--- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |
Accumulated amortization | $ (2,353.7) | $ (2,207.4)
Intangible assets, gross (excluding goodwill) | 9,420.5 | 9,414.3
Intangible assets, net (excluding goodwill) | 7,066.8 | 7,206.9
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-lived intangible assets (excluding goodwill) | 784.5 | 784.1
Customer related intangibles |  |
Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived intangible assets, gross | 7,499.6 | 7,494.7
Accumulated amortization | (1,817.2) | (1,703.8)
Finite-lived intangible assets, net | 5,682.4 | 5,790.9
Unpatented technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived intangible assets, gross | 943.3 | 942.8
Accumulated amortization | (392.4) | (363.9)
Finite-lived intangible assets, net | 550.9 | 578.9
Software |  |
Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived intangible assets, gross | 172.5 | 172.4
Accumulated amortization | (131.3) | (127.4)
Finite-lived intangible assets, net | 41.2 | 45.0
Patents and other protective rights |  |
Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived intangible assets, gross | 13.3 | 13.0
Accumulated amortization | (6.9) | (6.7)
Finite-lived intangible assets, net | 6.4 | 6.3
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived intangible assets, gross | 7.3 | 7.3
Accumulated amortization | (5.9) | (5.6)
Finite-lived intangible assets, net | $ 1.4 | $ 1.7

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