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Business Acquisitions (Details) (USD $)
12 Months Ended 12 Months Ended 12 Months Ended 12 Months Ended
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Dec. 31, 2013
Series of Individually Immaterial Business Acquisitions [Member]
Dec. 31, 2012
Series of Individually Immaterial Business Acquisitions [Member]
Dec. 31, 2013
Series of Individually Immaterial Business Acquisitions [Member]
Customer Relationships [Member]
Dec. 31, 2012
Series of Individually Immaterial Business Acquisitions [Member]
Customer Relationships [Member]
Dec. 31, 2013
Series of Individually Immaterial Business Acquisitions [Member]
Unpatented Technology [Member]
Dec. 31, 2012
Series of Individually Immaterial Business Acquisitions [Member]
Unpatented Technology [Member]
Dec. 31, 2013
Series of Individually Immaterial Business Acquisitions [Member]
Patented Technology [Member]
Dec. 31, 2012
Series of Individually Immaterial Business Acquisitions [Member]
Patented Technology [Member]
Dec. 31, 2013
Advanced Sensors Acquisition [Member]
Dec. 31, 2013
MHA Acquisition [Member]
Dec. 31, 2012
Sunquest Acquisition [Member]
Dec. 31, 2011
Sunquest Acquisition [Member]
Dec. 31, 2013
Sunquest Acquisition [Member]
Dec. 31, 2012
Sunquest Acquisition [Member]
Customer Relationships [Member]
Dec. 31, 2012
Sunquest Acquisition [Member]
Computer Software, Intangible Asset [Member]
Dec. 31, 2011
Total Acquisitions [Member]
Dec. 31, 2011
Total Acquisitions [Member]
Customer Relationships [Member]
Dec. 31, 2011
Total Acquisitions [Member]
Unpatented Technology [Member]
Dec. 31, 2011
NDI Holdings Corp Acquisition [Member]
Dec. 31, 2012
United Controls Group, Inc Acquisition [Member]
Dec. 31, 2012
Trinity Integrated Systems, Ltd Acquisition [Member]
Business Acquisition [Line Items]                                                
Name of Acquired Entity                       Advanced Sensors, Ltd. ("Advanced Sensors"), Managed Health Care Associates, Inc. ("MHA") Sunquest Information Systems, Inc. ("Sunquest"),               NDI Holding Corp. ("Northern Digital") United Controls Group, Inc. ("UCG"), Trinity Integrated Systems Ltd. ("Trinity")
Business Acquisition, Effective Date of Acquisition                       Oct. 04, 2013 May 01, 2013 Aug. 22, 2012               Jun. 03, 2011 Sep. 26, 2011 Dec. 01, 2011
Cost of Acquired Entity Purchase Price                       $ 54,000,000 $ 1,000,000,000                      
Description of Acquired Entity                       Advanced Sensors, Ltd. ("Advanced Sensors"), a company which manufactures and supports oil-in-water analyzers for the oil and gas industries MHA is a leading provider of services and technologies to support the diverse and complex needs of alternate site health care providers who deliver services outside of an acute care hospital setting a leading provider of diagnostic and laboratory software solutions to healthcare providers               NDI Holding Corp. ("Northern Digital"), a provider of 3-D measurement technology for medical applications in computer-assisted surgery and computer-assisted therapy manufacturer of control systems in the oil and gas industry a specialist provider of requirements capture, safety lifecycle management and engineering software tools, and safety and control system solutions to the oil and gas, industrial process and control markets
Reason for Business Combination                       the Company paid $54 million in cash to acquire 100% of the shares of Advanced Sensors, Ltd. ("Advanced Sensors"), a company which manufactures and supports oil-in-water analyzers for the oil and gas industries, in order to expand the Company's product line The acquisition of MHA complements and expands the Company's medical software and services platform The Company acquired Sunquest in order to complement and expand its medical platform               Roper acquired Northern Digital as an addition to its medical platform, and it is reported in the Medical and Scientific Imaging segment. UCG was acquired as an addition to our existing process control systems businesses Trinity was acquired as an addition to our existing process control systems businesses
Fair value of assets acquired and liabilities assumed [Abstract]                                                
Current assets                         59,813,000     96,883,000                
Intangible Assets Other than Goodwill                         465,500,000     669,000,000                
Goodwill 4,549,998,000 3,868,857,000                   28,000,000 680,732,000     987,881,000                
Other assets                         5,798,000     2,694,000                
Total assets acquired                         1,211,843,000     1,756,458,000                
Deferred Revenue acquired                               (83,065,000)                
Current liabilities                         (24,717,000)     (18,762,000)                
Deferred Tax Liabilities, Noncurrent                         (165,052,000)     (238,651,000)                
Other Noncurrent Liabilities                         (6,524,000)                      
Net assets acquired 1,015,550,000                       1,415,980,000                      
Goodwill 4,549,998,000 3,868,857,000                   28,000,000 680,732,000     987,881,000                
Acquired Indefinite-lived Intangible Asset, Amount       28,000,000                                        
Purchase Price Allocation, Amortizable Intangible Assets       465,000,000               28,000,000                        
Portion of Goodwill attributable to deferred tax liability related to intangible assets 826,838,000 691,536,000 456,613,000                                          
Cost of Acquired Entity Transaction Costs     2,200,000 3,300,000 1,000,000                 6,700,000                    
Business Combination, Admin Fee Receivables [Abstract]                                                
Business Combination, Acquired Receivables, Description                         The fair value of current assets acquired also includes an adjustment of $35.0 million for administrative fees related to customer purchases that occurred prior to the acquisition date but not reported to MHA until after the acquisition date. In the ordinary course, these administrative fees are recorded as revenue when reported; however, GAAP accounting for business acquisitions requires the Company to estimate the amount of purchases occurring prior to the acquisition date and record the fair value of the administrative fees to be received from those purchases as an accounts receivable at the date of acquisition.                      
Business Combination, Liability Related to Acquired Receivables, Description                         The Company also recorded a fair value liability of $8.6 million included in current liabilities related to corresponding revenue-share obligation owed to customers that generated the administrative fees.                      
Business Combination, Acquired Receivables, Fair Value                         35,000,000                      
Business Combination, Liability Related to Acquired Receivables, Fair Value                         8,600,000                      
Business Acquisition, Pro Forma Revenue                           3,130,407,000 2,967,415,000                  
Business Acquisition, Pro Forma Net Income (Loss)                           521,141,000 454,059,000                  
Business Acquisition, Pro Forma Earnings Per Share, Basic                           $ 5.33 $ 4.73                  
Business Acquisition, Pro Forma Earnings Per Share, Diluted                           $ 5.23 $ 4.62                  
Business Acquisition, Pro Forma Information, Description                           Roper's results for the year ended December 31, 2012 included results from Sunquest between August 22, 2012 and December 31, 2012. In that period, Sunquest contributed $69.4 million in revenue and $8.8 million of earnings (inclusive of deal-related costs) to Roper's results. The following unaudited pro forma summary presents consolidated information as if the acquisition of Sunquest had occurred on January 1, 2011 (amounts in thousands, except per share data): Pro forma earnings for the years ended December 31, 2012 and 2011 were adjusted by $50.7 million and $9.2 million, respectively, for non-recurring acquisition and other costs. Adjustments were also made to pro forma earnings for the years ended December 31, 2012 and 2011 for recurring changes in amortization, interest expense and taxes related to the acquisition.                    
Business acquisitions completed during the period, number 2                         6         3          
Acquired Finite-Lived Intangible Assets [Line Items]                                                
Acquired Finite-Lived Intangible Asset, Amount           $ 451,000,000   $ 12,000,000   $ 2,000,000                            
Acquired Finite-Lived Intangible Asset, Weighted-Average Useful Life (in years)       19 years   20 years 7 years 7 years 8 years 5 years 7 years           20 years 12 years   12 years 8 years