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Business Segments (Details) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Segment Reporting Information [Line Items]    
Net sales $ 865,281,000us-gaap_SalesRevenueNet $ 834,052,000us-gaap_SalesRevenueNet
Percent change in Net Sales (in hundredths) 3.70%rop_IncreaseDecreaseInNetSalesPercentage  
Gross Profit 518,161,000us-gaap_GrossProfit 488,936,000us-gaap_GrossProfit
Percent change in Gross Profit (in hundredths) 6.00%rop_IncreaseDecreaseInGrossProfitPercentage  
Operating profit 270,075,000rop_SegmentOperatingProfit [1] 245,412,000rop_SegmentOperatingProfit [1]
Percent change in Operating Profit (in hundredths) 10.00%rop_IncreaseDecreaseInOperatingProfitPercentage [1]  
Long-Lived assets 125,806,000rop_LongLivedAssets 137,187,000rop_LongLivedAssets
Percent change in Long-lived assets (in hundredths) (8.30%)rop_PercentChangeInLongLivedAssets  
Unallocated corporate general and administrative expenses 23,179rop_SegmentReportingUnallocatedExpenseNoninterest [1] 22,012rop_SegmentReportingUnallocatedExpenseNoninterest [1]
Industrial Technology [Member]    
Segment Reporting Information [Line Items]    
Net sales 190,728,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
197,001,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
Percent change in Net Sales (in hundredths) (3.20%)rop_IncreaseDecreaseInNetSalesPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
 
Gross Profit 95,242,000us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
98,470,000us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
Percent change in Gross Profit (in hundredths) (3.30%)rop_IncreaseDecreaseInGrossProfitPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
 
Operating profit 57,897,000rop_SegmentOperatingProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
[1] 56,056,000rop_SegmentOperatingProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
[1]
Percent change in Operating Profit (in hundredths) 3.30%rop_IncreaseDecreaseInOperatingProfitPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
[1]  
Long-Lived assets 44,697,000rop_LongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
49,022,000rop_LongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
Percent change in Long-lived assets (in hundredths) (8.80%)rop_PercentChangeInLongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
 
Energy Systems And Controls [Member]    
Segment Reporting Information [Line Items]    
Net sales 139,899,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
155,171,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
Percent change in Net Sales (in hundredths) (9.80%)rop_IncreaseDecreaseInNetSalesPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
 
Gross Profit 77,547,000us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
85,965,000us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
Percent change in Gross Profit (in hundredths) (9.80%)rop_IncreaseDecreaseInGrossProfitPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
 
Operating profit 30,422,000rop_SegmentOperatingProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
[1] 37,025,000rop_SegmentOperatingProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
[1]
Percent change in Operating Profit (in hundredths) (17.80%)rop_IncreaseDecreaseInOperatingProfitPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
[1]  
Long-Lived assets 15,177,000rop_LongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
18,503,000rop_LongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
Percent change in Long-lived assets (in hundredths) (18.00%)rop_PercentChangeInLongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
 
Medical And Scientific Imaging [Member]    
Segment Reporting Information [Line Items]    
Net sales 291,700,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
256,199,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
Percent change in Net Sales (in hundredths) 13.90%rop_IncreaseDecreaseInNetSalesPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
 
Gross Profit 215,326,000us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
184,850,000us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
Percent change in Gross Profit (in hundredths) 16.50%rop_IncreaseDecreaseInGrossProfitPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
 
Operating profit 107,779,000rop_SegmentOperatingProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
[1] 89,771,000rop_SegmentOperatingProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
[1]
Percent change in Operating Profit (in hundredths) 20.10%rop_IncreaseDecreaseInOperatingProfitPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
[1]  
Long-Lived assets 36,347,000rop_LongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
39,948,000rop_LongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
Percent change in Long-lived assets (in hundredths) (9.00%)rop_PercentChangeInLongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
 
RF Technology [Member]    
Segment Reporting Information [Line Items]    
Net sales 242,954,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
225,681,000us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
Percent change in Net Sales (in hundredths) 7.70%rop_IncreaseDecreaseInNetSalesPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
 
Gross Profit 130,046,000us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
119,651,000us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
Percent change in Gross Profit (in hundredths) 8.70%rop_IncreaseDecreaseInGrossProfitPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
 
Operating profit 73,977,000rop_SegmentOperatingProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
[1] 62,560,000rop_SegmentOperatingProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
[1]
Percent change in Operating Profit (in hundredths) 18.20%rop_IncreaseDecreaseInOperatingProfitPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
[1]  
Long-Lived assets $ 29,585,000rop_LongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
$ 29,714,000rop_LongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
Percent change in Long-lived assets (in hundredths) (0.40%)rop_PercentChangeInLongLivedAssets
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
 
[1] Segment operating profit is before unallocated corporate general and administrative expenses. These expenses were $23,179 and $22,012 for the three months ended March 31, 2015 and 2014, respectively.