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Summary of Accounting Policies (Details) (USD $)
 12 Months Ended
Dec. 31, 2014
ReportingUnit
Dec. 31, 2013
Dec. 31, 2012
Summary of Accounting Policies [Abstract]      
Allowance for doubtful accounts and sales allowances $ 13,700,000rop_AllowanceForDoubtfulAccountsReceivableAndSalesReturnsAndAllowancesNetCurrent $ 15,000,000rop_AllowanceForDoubtfulAccountsReceivableAndSalesReturnsAndAllowancesNetCurrent  
Cash Equivalents, at Carrying Value 40,000,000us-gaap_CashEquivalentsAtCarryingValue 0us-gaap_CashEquivalentsAtCarryingValue  
Basic weighted-average shares outstanding (in shares) 99,916,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 99,123,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 97,702,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Effect of potential common stock      
Common stock awards (in shares) 816,000us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 891,000us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 1,040,000us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
Senior subordinated convertible notes (in shares) 152,000us-gaap_IncrementalCommonSharesAttributableToConversionOfDebtSecurities 195,000us-gaap_IncrementalCommonSharesAttributableToConversionOfDebtSecurities 816,000us-gaap_IncrementalCommonSharesAttributableToConversionOfDebtSecurities
Diluted shares outstanding (in shares) 100,884,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 100,209,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 99,558,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Antidilutive stock options (in shares) 764,333us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 614,850us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 547,591us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
Foreign Currency Transaction Gain (Loss), before Tax 200,000us-gaap_ForeignCurrencyTransactionGainLossBeforeTax (3,900,000)us-gaap_ForeignCurrencyTransactionGainLossBeforeTax (2,800,000)us-gaap_ForeignCurrencyTransactionGainLossBeforeTax
Total goodwill reporting units 29us-gaap_NumberOfReportableSegments    
Minimum carrying value of goodwill 0rop_GoodwillMinimumCarryingValue    
Maximum carrying value of goodwill 994,000,000rop_GoodwillMaximumCarryingValue    
The approximate amount of earnings of foreign subsidiaries 1,120,000us-gaap_UndistributedEarningsOfForeignSubsidiaries    
Property, Plant and Equipment [Line Items]      
Research and development costs 147,900,000us-gaap_ResearchAndDevelopmentExpense 145,700,000us-gaap_ResearchAndDevelopmentExpense 125,900,000us-gaap_ResearchAndDevelopmentExpense
Contract revenue recognized under the percentage-of-completion method 266,000,000rop_ContractsRevenuePercentageOfCompletion 205,000,000rop_ContractsRevenuePercentageOfCompletion 146,000,000rop_ContractsRevenuePercentageOfCompletion
Capitalized software $ 4,700,000us-gaap_CapitalizedComputerSoftwareNet $ 8,000,000us-gaap_CapitalizedComputerSoftwareNet  
Buildings [Member] | Earliest [Member]      
Property, Plant and Equipment [Line Items]      
Estimated useful life 20 years    
Buildings [Member] | Latest [Member]      
Property, Plant and Equipment [Line Items]      
Estimated useful life 30 years    
Machinery and equipment [Member] | Earliest [Member]      
Property, Plant and Equipment [Line Items]      
Estimated useful life 8 years    
Machinery and equipment [Member] | Latest [Member]      
Property, Plant and Equipment [Line Items]      
Estimated useful life 12 years    
Office Equipment [Member] | Earliest [Member]      
Property, Plant and Equipment [Line Items]      
Estimated useful life 3 years    
Office Equipment [Member] | Latest [Member]      
Property, Plant and Equipment [Line Items]      
Estimated useful life 5 years