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Stock-Based Compensation Programs - Compensation expense (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Stock-Based Compensation Programs |  |  |
Share based compensation expense | $ 37.0 | $ 75.0 | $ 46.0
Expenses for share-based compensation arrangements, after tax | 33.0 | 61.0 | 35.0
Unrecognized compensation cost related to nonvested share-based compensation arrangements | $ 50.0 |  |
Expected weighted-average period for recognition of unrecognized stock-based compensation costs | 2 years 2 months 12 days |  |
Special Acquisition Related Incentive Plan [Member] | Business consolidation and other activities |  |  |
Stock-Based Compensation Programs |  |  |
Share based compensation expense | $ 6.0 | $ 23.0 | $ 11.0

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- Definition Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (i) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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