Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($) $ in Millions	3 Months Ended
	Mar. 31, 2021	Dec. 31, 2020
Intangible Assets
Weighted average useful lives of acquired amortizable intangible assets	9 years
Gross Carrying Amount (definite-lived)	$ 685.6	$ 662.5
Accumulated Amortization	461.4	451.1
Net Carrying Amount, (definite-lived)	224.2	211.4
Indefinite-lived trade name intangible asset	186.1	186.1
Intangible assets, gross (excluding goodwill)	871.7	848.6
Net Carrying Amount, intangible assets	$ 410.3	397.5
Customer relationships
Intangible Assets
Weighted average useful lives of acquired amortizable intangible assets	9 years
Gross Carrying Amount (definite-lived)	$ 479.9	456.6
Accumulated Amortization	321.1	313.6
Net Carrying Amount, (definite-lived)	$ 158.8	143.0
Proprietary technology
Intangible Assets
Weighted average useful lives of acquired amortizable intangible assets	11 years
Gross Carrying Amount (definite-lived)	$ 156.0	156.2
Accumulated Amortization	90.9	88.1
Net Carrying Amount, (definite-lived)	$ 65.1	68.1
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