Business Acquisitions and Disposition	9 Months Ended
Business Acquisitions and Disposition	Sep. 30, 2022
Business Combination and Asset Acquisition [Abstract]
Business Acquisitions and Disposition	Business Acquisitions and Disposition On January 3, 2022, Roper acquired the outstanding membership interests of Horizon Lab Systems, LLC, a provider of laboratory information management systems in the toxicology, environmental, public health and agricultural markets for an aggregate purchase price of $49.8. On April 6, 2022, Roper acquired the issued and outstanding shares of Common Cents Systems, Inc. (“ApolloLIMS”) for a purchase price of $25.5, net of cash acquired and debt assumed. ApolloLIMS is a provider of laboratory information management systems in the toxicology and public health markets. Both of these acquisitions have been integrated into our CliniSys business and their results are reported in the Application Software reportable segment. On June 27, 2022, Roper acquired the issued and outstanding shares of MGA Systems Holdings, Inc., (“MGA”) for a purchase price of $180.1, net of cash acquired and debt assumed. MGA is a leading provider of purpose-built insurance software for managing general agents. This acquisition has been integrated into our Vertafore business and its results are reported in the Application Software reportable segment. On August 19, 2022, Roper acquired substantially all of the assets of viDesktop Inc., (“viGlobal”) for a purchase price of $286.5, net of cash acquired and debt assumed. viGlobal is a leading provider of end-to-end human resources management software used for recruiting and integration, productivity management, resource allocation, performance management, learning and development, and diversity and inclusion to primarily law firms. This acquisition will be operated by and integrated with our Aderant business and its results are reported in the Application Software reportable segment. During the third quarter of 2022, Roper also completed two business acquisitions, TIP Technologies Inc. and Common Sense Solutions Inc., for an aggregate purchase price of $36.9 which will be operated by and integrated with our Deltek business and their results are reported in the Application Software reportable segment. The Company recorded $361.5 in goodwill, $9.5 assigned to trade names that are not subject to amortization and $239.3 of other identifiable intangibles in connection with these acquisitions. The amortizable intangible assets include customer relationships of $223.4 (18.2 year weighted average useful life) and technology of $15.9 (4.9 year weighted average useful life). The results of operations of the acquired businesses 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 acquisitions were not material to our financial results. On October 4, 2022, Roper completed its previously announced acquisition of Frontline Technologies Parent, LLC, a Delaware limited liability company and the parent company of Frontline Technologies (“Frontline Education”), pursuant to an Equity Purchase and Merger Agreement dated as of August 30, 2022 for a purchase price of $3,738, net of cash acquired and debt assumed. Frontline Education is a leading provider of school administration software, connecting solutions for human capital management, student and special programs, and business operations with powerful analytics to empower educators. Frontline Education will be reported in the Application Software reportable segment beginning in the fourth quarter of 2022. Roper funded the transaction using its cash on hand and revolving credit facility. Disposition On March 17, 2021, Roper completed the sale of a minority investment in Sedaru, Inc. for $27.1. The pretax gain on the sale was $27.1, which is reported in “Other income (expense), net” in the Condensed Consolidated Statements of Earnings.