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Goodwill and Other Intangible Assets (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Goodwill [Line Items]      
Balances $ 4,549,998,000us-gaap_Goodwill $ 3,868,857,000us-gaap_Goodwill  
Goodwill acquired 207,943,000us-gaap_GoodwillAcquiredDuringPeriod 708,676,000us-gaap_GoodwillAcquiredDuringPeriod  
Currency translation adjustments (50,488,000)us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments (9,477,000)us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments  
Reclassification and other 3,238,000us-gaap_GoodwillOtherChanges (18,058,000)us-gaap_GoodwillOtherChanges  
Balances 4,710,691,000us-gaap_Goodwill 4,549,998,000us-gaap_Goodwill 3,868,857,000us-gaap_Goodwill
Schedule Of Other Intangible Assets By Major Class [Line Items]      
Cost 2,738,747,000us-gaap_FiniteLivedIntangibleAssetsGross 2,703,267,000us-gaap_FiniteLivedIntangibleAssetsGross  
Accumulated amortization (760,018,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization (664,131,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization  
Net book value 1,978,729,000us-gaap_FiniteLivedIntangibleAssetsNet 2,039,136,000us-gaap_FiniteLivedIntangibleAssetsNet  
Amortization expense of other intangible assets 153,000,000rop_AmortizationOfOtherIntangibleAssets 147,000,000rop_AmortizationOfOtherIntangibleAssets 113,000,000rop_AmortizationOfOtherIntangibleAssets
Expected Amortization expense [Abstract]      
2015 147,000,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths    
2016 143,000,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo    
2017 132,000,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree    
2018 125,000,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour    
2019 119,000,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive    
Trade Names [Member]      
Schedule Of Other Intangible Assets By Major Class [Line Items]      
Cost 361,519,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
358,219,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
 
Accumulated amortization 0us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
0us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
 
Net book value 361,519,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
358,219,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
 
Assets subject to amortization | Customer Relationships [Member]      
Schedule Of Other Intangible Assets By Major Class [Line Items]      
Cost 1,975,334,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
1,936,336,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Accumulated amortization (543,594,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
(464,018,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Net book value 1,431,740,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
1,472,318,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Assets subject to amortization | Unpatented Technology [Member]      
Schedule Of Other Intangible Assets By Major Class [Line Items]      
Cost 217,260,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_UnpatentedTechnologyMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
216,044,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_UnpatentedTechnologyMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Accumulated amortization (134,702,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_UnpatentedTechnologyMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
(120,091,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_UnpatentedTechnologyMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Net book value 82,558,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_UnpatentedTechnologyMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
95,953,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_UnpatentedTechnologyMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Assets subject to amortization | Software [Member]      
Schedule Of Other Intangible Assets By Major Class [Line Items]      
Cost 156,449,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
160,618,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Accumulated amortization (62,882,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
(58,084,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Net book value 93,567,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
102,534,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Assets subject to amortization | Patents and other protective rights Memeber      
Schedule Of Other Intangible Assets By Major Class [Line Items]      
Cost 26,463,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
31,394,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Accumulated amortization (18,325,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
(21,922,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Net book value 8,138,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
9,472,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Assets subject to amortization | Backlog [Member]      
Schedule Of Other Intangible Assets By Major Class [Line Items]      
Cost 1,100,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rop_BacklogMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
   
Accumulated amortization (443,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rop_BacklogMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
   
Net book value 657,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rop_BacklogMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
   
Assets subject to amortization | Trade Names [Member]      
Schedule Of Other Intangible Assets By Major Class [Line Items]      
Cost 622,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
656,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Accumulated amortization (72,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
(16,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Net book value 550,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
640,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
/ rop_ScheduleOfOtherIntangibleAssetsTypeAxis
= rop_AssetsSubjectToAmortizationMember
 
Industrial Technology      
Goodwill [Line Items]      
Balances 425,501,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
421,755,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
 
Goodwill acquired 0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
 
Currency translation adjustments (16,537,000)us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
3,746,000us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
 
Reclassification and other 0us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
0us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
 
Balances 408,964,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
425,501,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_IndustrialTechnologyMember
 
Energy Systems And Controls      
Goodwill [Line Items]      
Balances 434,697,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
404,057,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
 
Goodwill acquired 0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
27,944,000us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
 
Currency translation adjustments (8,002,000)us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
198,000us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
 
Reclassification and other (112,000)us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
2,498,000us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
 
Balances 426,583,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
434,697,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_EnergySystemsAndControlsMember
 
Medical And Scientific Imaging      
Goodwill [Line Items]      
Balances 2,435,506,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
1,772,402,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
 
Goodwill acquired 174,347,000us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
680,732,000us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
 
Currency translation adjustments (18,847,000)us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
(13,345,000)us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
 
Reclassification and other 3,350,000us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
(4,283,000)us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
 
Balances 2,594,356,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
2,435,506,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_MedicalAndScientificImagingMember
 
RF Technology      
Goodwill [Line Items]      
Balances 1,254,294,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
1,270,643,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
 
Goodwill acquired 33,596,000us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
 
Currency translation adjustments (7,102,000)us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
(76,000)us-gaap_GoodwillTranslationAndPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
 
Reclassification and other 0us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
(16,273,000)us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
 
Balances $ 1,280,788,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember
$ 1,254,294,000us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= rop_RfTechnologyMember