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Business Acquisitions (Details) (USD $)
 12 Months Ended 12 Months Ended 12 Months Ended
Dec. 31, 2012
Dec. 31, 2011
Dec. 31, 2012
Series of Individually Immaterial Business Acquisitions [Member]
Dec. 31, 2012
Series of Individually Immaterial Business Acquisitions [Member]
Customer Relationships [Member]
Dec. 31, 2012
Series of Individually Immaterial Business Acquisitions [Member]
Unpatented Technology [Member]
Dec. 31, 2012
Series of Individually Immaterial Business Acquisitions [Member]
Patented Technology [Member]
Dec. 31, 2012
Sunquest Acquisition [Member]
Dec. 31, 2011
Sunquest Acquisition [Member]
Aug. 22, 2012
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, 2010
ITrade Network Acquisition [Member]
Jul. 27, 2010
ITrade Network Acquisition [Member]
Dec. 31, 2010
Heartscape Acquisition [Member]
Dec. 31, 2011
Total Acquisitions [Member]
Dec. 31, 2010
Total Acquisitions [Member]
Dec. 31, 2011
Total Acquisitions [Member]
Customer Relationships [Member]
Dec. 31, 2010
Total Acquisitions [Member]
Customer Relationships [Member]
Dec. 31, 2011
Total Acquisitions [Member]
Unpatented Technology [Member]
Dec. 31, 2010
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]                                              
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.                                
Fair value of assets acquired and liabilities assumed [Abstract]                                              
Current assets                 96,883,000       14,174,000                    
Other assets                 2,694,000       2,998,000                    
Intangible Assets Other than Goodwill                 669,000,000       313,600,000                    
Goodwill     16,000,000           992,164,000       317,897,000   149,000,000 327,000,000              
Total assets acquired                 1,760,741,000       648,669,000                    
Deferred Revenue acquired                 (83,065,000)                            
Current liabilities                 (18,762,000)       (15,301,000)                    
Deferred Tax Liabilities, Noncurrent                 (242,934,000)                            
Other Noncurrent Liabilities                         (110,767,000)                    
Net assets acquired                 1,415,980,000       522,601,000                    
Business Acquisition, Effective Date of Acquisition             Aug. 22, 2012         Jul. 27, 2010   Feb. 22, 2010             Jun. 03, 2011 Sep. 26, 2011 Dec. 01, 2011
Name of Acquired Entity             Sunquest Information Systems, Inc. ("Sunquest"),         iTradeNetwork, Inc   Heartscape, Inc             NDI Holding Corp. ("Northern Digital") United Controls Group, Inc. ("UCG"), Trinity Integrated Systems Ltd. ("Trinity")
Description of Acquired Entity             a leading provider of diagnostic and laboratory software solutions to healthcare providers         a global provider of software as a service ("SaaS")-based trading network and business intelligence solutions primarily to the perishable food market   a technology with the capability to improve the speed and accuracy of detecting heart attacks             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 acquired Sunquest in order to complement and expand its medical platform         The Company acquired iTrade in order to complement and expand existing software services at other Roper businesses                 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
Cost of Acquired Entity Purchase Price     62,000,000       1,416,000         523,000,000     234,000,000 538,000,000              
Purchase Price Allocation Goodwill Amount     16,000,000           992,164,000       317,897,000   149,000,000 327,000,000              
Acquired Indefinite-lived Intangible Asset, Amount     1,000,000       98,000,000               3,000,000 35,000,000              
Purchase Price Allocation, Amortizable Intangible Assets     42,000,000       571,000,000               88,000,000 285,000,000              
Portion of Goodwill attributable to deferred tax liability related to intangible assets 691,536,000 456,613,000                   97,000,000                      
Cost of Acquired Entity Transaction Costs     1,000,000       6,500,000               2,200,000 2,100,000              
Business acquisitions completed during the period, number             6               3 2              
Acquired Finite-Lived Intangible Assets [Line Items]                                              
Acquired Finite-Lived Intangible Asset, Amount       $ 17,000,000 $ 8,000,000 $ 16,000,000       $ 460,000,000 $ 111,000,000           $ 70,000,000 $ 234,000,000 $ 18,000,000 $ 51,000,000      
Acquired Finite-Lived Intangible Asset, Weighted-Average Useful Life (in years)       7 years 8 years 7 years       20 years 12 years           12 years 15 years 8 years 8 years