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Business Acquisitions	6 Months Ended
Business Acquisitions	Jun. 30, 2023
Business Combination and Asset Acquisition [Abstract]
Business Acquisitions	Business Acquisitions On May 2, 2023, Roper acquired the outstanding membership interests of Promium, LLC, a leading provider of laboratory information management systems in the environmental and water markets for an aggregate purchase price of $16.5. This acquisition has been integrated into our CliniSys business and its results are reported in the Application Software reportable segment. The Company recorded $12.2 in goodwill and $6.2 of other identifiable intangibles in connection with this acquisition. The amortizable intangible assets include customer relationships of $5.8 (12 year useful life) and technology of $0.4 (5 year useful life). The results of operations of the acquired business are included in Roper’s Condensed Consolidated Financial Statements since the date of acquisition. Pro forma results of operations and the revenue and net income subsequent to the acquisition date has not been presented because the effects of the acquisition were not material to our financial results. On May 14, 2023, Roper entered into an agreement to acquire the assets of Replicon Inc., a provider of time tracking software solutions for project and services centric organizations, for a purchase price of approximately $450, which includes a cash tax benefit of approximately $80. This acquisition will be integrated into our Deltek business and is expected to close in the third quarter of 2023.