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Segment and Geographic Area Information, Sales by Country of Origin (Details) (USD $)
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Net sales $ 946,145,000us-gaap_SalesRevenueNet $ 884,122,000us-gaap_SalesRevenueNet $ 885,175,000us-gaap_SalesRevenueNet $ 834,052,000us-gaap_SalesRevenueNet $ 889,173,000us-gaap_SalesRevenueNet $ 827,810,000us-gaap_SalesRevenueNet $ 784,010,000us-gaap_SalesRevenueNet $ 737,135,000us-gaap_SalesRevenueNet $ 3,549,494,000us-gaap_SalesRevenueNet $ 3,238,128,000us-gaap_SalesRevenueNet $ 2,993,489,000us-gaap_SalesRevenueNet
Long Lived Assets 165,636,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched       171,423,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched       165,636,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched 171,423,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched 160,717,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
Export sales [Abstract]                      
Export sales from the United States                 477,000,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicile 479,000,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicile 459,000,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicile
Geographic Areas, Revenues from External Customers [Abstract]                      
Minimum percent of total sales generated in Canada                 5.00%rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersAttributedToIndividualForeignCountryPercentMinimum    
Sales to Customers Outside the US                 1,281,881,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile 1,252,772,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile 1,214,410,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
Sales [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Sales to unaffiliated customers                 3,549,494,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
3,238,128,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
2,993,489,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
Sales between geographic areas                 0rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
0rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
0rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
Net sales                 3,549,494,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
3,238,128,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
2,993,489,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
United States [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Long Lived Assets 134,855,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
      135,157,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
      134,855,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
135,157,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
125,015,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
United States [Member] | Sales [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Sales to unaffiliated customers                 2,661,470,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
2,400,592,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
2,174,443,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
Sales between geographic areas                 159,049,000rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
141,529,000rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
140,864,000rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
Net sales                 2,820,519,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
2,542,121,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
2,315,307,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_UnitedStatesMember
Canada [Member]                      
Export sales [Abstract]                      
Export sales from the United States (in hundredths)                 16.00%rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicilePercent
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
   
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 209,237,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
215,077,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
202,550,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
Non-U.S. [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Long Lived Assets 30,781,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
      36,266,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
      30,781,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
36,266,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
35,702,000rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
Non-U.S. [Member] | Sales [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Sales to unaffiliated customers                 888,024,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
837,536,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
819,046,000us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
Sales between geographic areas                 119,175,000rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
121,431,000rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
111,813,000rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
Net sales                 1,007,199,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
958,967,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
930,859,000us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= rop_NonUsMember
Europe [Member]                      
Export sales [Abstract]                      
Export sales from the United States (in hundredths)                 18.00%rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicilePercent
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
   
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 518,893,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
493,670,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
478,032,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
Eliminations [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Long Lived Assets 0rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
      0rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
      0rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
0rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
0rop_EntityWideDisclosureOnGeographicAreasLongLivedAssetsSched
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
Eliminations [Member] | Sales [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Sales to unaffiliated customers                 0us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
0us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
0us-gaap_Revenues
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
Sales between geographic areas                 (278,224,000)rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
(262,960,000)rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
(252,677,000)rop_SegmentReportingInformationRevenueBetweenGeographicAreas
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
Net sales                 (278,224,000)us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
(262,960,000)us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
(252,677,000)us-gaap_SalesRevenueNet
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_GeographyEliminationsMember
Asia [Member]                      
Export sales [Abstract]                      
Export sales from the United States (in hundredths)                 36.00%rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicilePercent
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
   
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 320,326,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
314,621,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
315,217,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
Middle East [Member]                      
Export sales [Abstract]                      
Export sales from the United States (in hundredths)                 13.00%rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicilePercent
/ us-gaap_StatementGeographicalAxis
= us-gaap_MiddleEastMember
   
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 91,050,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_MiddleEastMember
90,011,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_MiddleEastMember
86,450,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= us-gaap_MiddleEastMember
Rest of the World [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 142,375,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= rop_RestOfWorldMember
139,393,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= rop_RestOfWorldMember
132,161,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementGeographicalAxis
= rop_RestOfWorldMember
South Pacific [Member]                      
Export sales [Abstract]                      
Export sales from the United States (in hundredths)                 5.00%rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicilePercent
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaPacificMember
   
South America [Member]                      
Export sales [Abstract]                      
Export sales from the United States (in hundredths)                 6.00%rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicilePercent
/ us-gaap_StatementGeographicalAxis
= us-gaap_SouthAmericaMember
   
Other Geographical Area [Member]                      
Export sales [Abstract]                      
Export sales from the United States (in hundredths)                 6.00%rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInEntitysCountryOfDomicileAttributedToEntitysCountryOfDomicilePercent
/ us-gaap_StatementGeographicalAxis
= rop_OtherGeographicalAreaMember
   
Industrial Technology [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Net sales                 827,145,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
779,564,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
795,240,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 320,017,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
314,208,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
311,190,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
Industrial Technology [Member] | Canada [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 106,598,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
109,361,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
94,035,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
Industrial Technology [Member] | Europe [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 121,909,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
108,644,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
104,105,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
Industrial Technology [Member] | Asia [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 61,552,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
65,622,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
75,113,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
Industrial Technology [Member] | Middle East [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 3,824,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_MiddleEastMember
3,865,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_MiddleEastMember
3,846,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_MiddleEastMember
Industrial Technology [Member] | Rest of the World [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 26,134,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= rop_RestOfWorldMember
26,716,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= rop_RestOfWorldMember
34,091,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
/ us-gaap_StatementGeographicalAxis
= rop_RestOfWorldMember
Energy Systems And Controls [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Net sales                 691,813,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
651,920,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
646,116,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 453,920,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
440,401,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
426,334,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
Energy Systems And Controls [Member] | Canada [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 31,831,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
34,260,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
39,836,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
Energy Systems And Controls [Member] | Europe [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 157,391,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
153,807,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
148,360,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
Energy Systems And Controls [Member] | Asia [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 143,524,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
136,934,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
121,997,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
Energy Systems And Controls [Member] | Middle East [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 42,988,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
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32,444,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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47,866,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= us-gaap_MiddleEastMember
Energy Systems And Controls [Member] | Rest of the World [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 78,186,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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82,956,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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68,275,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
/ us-gaap_StatementGeographicalAxis
= rop_RestOfWorldMember
Medical and Scientific Imaging [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Net sales                 1,080,309,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
902,281,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
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703,835,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
Geographic Areas, Revenues from External Customers [Abstract]                      
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/ us-gaap_StatementBusinessSegmentsAxis
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325,044,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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319,138,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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Geographic Areas, Revenues from External Customers [Abstract]                      
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/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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25,502,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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21,308,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
= rop_CanadaMember
Medical and Scientific Imaging [Member] | Europe [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 185,263,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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168,394,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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161,075,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
Medical and Scientific Imaging [Member] | Asia [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 107,695,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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103,931,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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/ us-gaap_StatementGeographicalAxis
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111,642,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaMember
Medical and Scientific Imaging [Member] | Middle East [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
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/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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9,361,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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4,613,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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Medical and Scientific Imaging [Member] | Rest of the World [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
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/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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17,856,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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/ us-gaap_StatementGeographicalAxis
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20,500,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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RF Technology [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Net sales                 950,227,000us-gaap_SalesRevenueNet
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904,363,000us-gaap_SalesRevenueNet
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848,298,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
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Geographic Areas, Revenues from External Customers [Abstract]                      
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173,119,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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157,746,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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RF Technology [Member] | Canada [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 45,811,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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45,954,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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47,371,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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/ us-gaap_StatementGeographicalAxis
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RF Technology [Member] | Europe [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 54,330,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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62,825,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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64,492,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
= us-gaap_EuropeMember
RF Technology [Member] | Asia [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
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/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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8,134,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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/ us-gaap_StatementGeographicalAxis
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6,465,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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RF Technology [Member] | Middle East [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 34,241,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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44,341,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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/ us-gaap_StatementGeographicalAxis
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30,125,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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/ us-gaap_StatementGeographicalAxis
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RF Technology [Member] | Rest of the World [Member]                      
Geographic Areas, Revenues from External Customers [Abstract]                      
Sales to Customers Outside the US                 9,333,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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11,865,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
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/ us-gaap_StatementGeographicalAxis
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9,293,000rop_EntityWideDisclosureOnGeographicAreasRevenueFromExternalCustomersNotLocatedInCountryOfDomicile
/ us-gaap_StatementBusinessSegmentsAxis
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/ us-gaap_StatementGeographicalAxis
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Corporate [Member]                      
Schedule of Entity Wide Information About Geographic Areas [Line Items]                      
Net sales                 $ 0us-gaap_SalesRevenueNet
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$ 0us-gaap_SalesRevenueNet
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$ 0us-gaap_SalesRevenueNet
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