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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($) $ in Millions | 3 Months Ended |
--- | --- | ---
Mar. 31, 2020 | Dec. 31, 2019
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 9 years |
Gross Carrying Amount (definite-lived) | $ 649.3 | $ 651.9
Accumulated Amortization | 407.2 | 396.0
Net Carrying Amount, (definite-lived) | 242.1 | 255.9
Indefinite-lived trade name intangible asset | 186.1 | 186.1
Intangible assets, gross (excluding goodwill) | 835.4 | 838.0
Net Carrying Amount, intangible assets | $ 428.2 | 442.0
Customer relationships |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 9 years |
Gross Carrying Amount (definite-lived) | $ 443.7 | 446.2
Accumulated Amortization | 280.0 | 272.2
Net Carrying Amount, (definite-lived) | $ 163.7 | 174.0
Proprietary technology |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 11 years |
Gross Carrying Amount (definite-lived) | $ 155.9 | 156.0
Accumulated Amortization | 77.8 | 74.4
Net Carrying Amount, (definite-lived) | $ 78.1 | 81.6
Backlog and other |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 2 years |
Gross Carrying Amount (definite-lived) | $ 49.7 | 49.7
Accumulated Amortization | 49.4 | 49.4
Net Carrying Amount, (definite-lived) | $ 0.3 | $ 0.3

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