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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($) $ in Millions | 6 Months Ended |
--- | --- | ---
Jun. 30, 2023 | Dec. 31, 2022
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 10 years |
Gross Carrying Amount (definite-lived) | $ 1,104.0 | $ 1,073.9
Accumulated Amortization | 649.6 | 608.9
Net Carrying Amount, (definite-lived) | 454.4 | 465.0
Indefinite-lived trade name intangible asset | 269.1 | 269.1
Intangible assets, gross (excluding goodwill) | 1,373.1 | 1,343.0
Net Carrying Amount, intangible assets | $ 723.5 | 734.1
Customer relationships |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 10 years |
Gross Carrying Amount (definite-lived) | $ 701.6 | 677.0
Accumulated Amortization | 422.5 | 398.3
Net Carrying Amount, (definite-lived) | $ 279.1 | 278.7
Proprietary technology |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 13 years |
Gross Carrying Amount (definite-lived) | $ 310.0 | 310.0
Accumulated Amortization | 134.8 | 123.8
Net Carrying Amount, (definite-lived) | $ 175.2 | 186.2
Backlog and other |  |
Intangible Assets |  |
Weighted average useful lives of acquired amortizable intangible assets | 1 year |
Gross Carrying Amount (definite-lived) | $ 92.4 | 86.9
Accumulated Amortization | 92.3 | 86.8
Net Carrying Amount, (definite-lived) | $ 0.1 | $ 0.1

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