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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($) $ in Millions | 6 Months Ended |
--- | --- | ---
Jun. 30, 2020 | Dec. 31, 2019
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 9 years |
Gross Carrying Amount (definite-lived) | $ 650.7 | $ 651.9
Accumulated Amortization | 420.6 | 396.0
Net Carrying Amount, (definite-lived) | 230.1 | 255.9
Indefinite-lived trade name intangible asset | 186.1 | 186.1
Intangible assets, gross (excluding goodwill) | 836.8 | 838.0
Net Carrying Amount, intangible assets | $ 416.2 | 442.0
Customer relationships |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 9 years |
Gross Carrying Amount (definite-lived) | $ 445.0 | 446.2
Accumulated Amortization | 290.0 | 272.2
Net Carrying Amount, (definite-lived) | $ 155.0 | 174.0
Proprietary technology |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 11 years |
Gross Carrying Amount (definite-lived) | $ 156.0 | 156.0
Accumulated Amortization | 81.2 | 74.4
Net Carrying Amount, (definite-lived) | $ 74.8 | 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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