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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($) $ in Millions | 12 Months Ended |
--- | --- | ---
Dec. 31, 2021 | Dec. 31, 2020
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 10 years |
Gross Carrying Amount (definite-lived) | $ 1,023.2 | $ 662.5
Accumulated Amortization | 534.4 | 451.1
Net Carrying Amount, (definite-lived) | 488.8 | 211.4
Indefinite-lived trade name intangible asset | 268.1 | 186.1
Intangible assets, gross (excluding goodwill) | 1,291.3 | 848.6
Net Carrying Amount, intangible assets | $ 756.9 | 397.5
Customer relationships |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 10 years |
Gross Carrying Amount (definite-lived) | $ 637.2 | 456.6
Accumulated Amortization | 357.5 | 313.6
Net Carrying Amount, (definite-lived) | $ 279.7 | 143.0
Proprietary technology |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 13 years |
Gross Carrying Amount (definite-lived) | $ 311.1 | 156.2
Accumulated Amortization | 102.2 | 88.1
Net Carrying Amount, (definite-lived) | $ 208.9 | 68.1
Backlog and other |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 1 year |
Gross Carrying Amount (definite-lived) | $ 74.9 | 49.7
Accumulated Amortization | 74.7 | 49.4
Net Carrying Amount, (definite-lived) | $ 0.2 | $ 0.3

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- Definition Carrying amount (original costs adjusted for previously recognized amortization and impairment) as of the balance sheet date for the rights acquired through registration of a trade name to gain or protect exclusive use thereof for a projected indefinite period of benefit. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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