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Contingencies (Details) (USD $)
 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Contingencies [Abstract]      
Rent expense $ 38,400,000us-gaap_LeaseAndRentalExpense $ 39,800,000us-gaap_LeaseAndRentalExpense $ 26,800,000us-gaap_LeaseAndRentalExpense
Future mimimum property lease commitments [Abstract]      
2015 35,000,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueCurrent    
2016 28,500,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears    
2017 19,300,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears    
2018 10,800,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears    
2019 5,600,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears    
Thereafter 10,700,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter    
Total future minimum property lease commitments 109,900,000us-gaap_OperatingLeasesFutureMinimumPaymentsDue    
Product Warranty Disclosure [Abstract]      
Balance at beginning of year 14,336,000us-gaap_ProductWarrantyAccrual 9,755,000us-gaap_ProductWarrantyAccrual 8,147,000us-gaap_ProductWarrantyAccrual
Additions charged to costs and expenses 13,396,000us-gaap_ProductWarrantyAccrualWarrantiesIssued [1] 20,387,000us-gaap_ProductWarrantyAccrualWarrantiesIssued [1] 11,845,000us-gaap_ProductWarrantyAccrualWarrantiesIssued [1]
Deductions (18,078,000)us-gaap_ProductWarrantyAccrualPayments (15,697,000)us-gaap_ProductWarrantyAccrualPayments (10,287,000)us-gaap_ProductWarrantyAccrualPayments
Other (117,000)us-gaap_StandardProductWarrantyAccrualPreexistingIncreaseDecrease (109,000)us-gaap_StandardProductWarrantyAccrualPreexistingIncreaseDecrease 50,000us-gaap_StandardProductWarrantyAccrualPreexistingIncreaseDecrease
Balance at end of year 9,537,000us-gaap_ProductWarrantyAccrual 14,336,000us-gaap_ProductWarrantyAccrual 9,755,000us-gaap_ProductWarrantyAccrual
Vendor supplied component replacement   9,100,000rop_VendorSuppliedComponentReplacement  
Outstanding surety bonds $ 428,000,000us-gaap_GuarantyLiabilities    
[1] During the second quarter of 2013, the Company identified a vendor-supplied component within a refrigeration system valve that did not meet its quality standards, and $9.1 million was expensed to cover the estimated cost of replacing the faulty components for customers.