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Schedule II - Consolidated Valuation and Qualifying Accounts (Details) (USD $) In Thousands, unless otherwise specified | 12 Months Ended
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Dec. 31, 2014 | Dec. 31, 2013 | Dec. 31, 2012
Allowance For Doubtful Accounts And Sales Allowances [Member] |  |  |
Valuation and Qualifying Accounts Roll Forward] |  |  |
Balance at beginning of year | $ 14,992 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | $ 15,976 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | $ 10,636 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember
Additions charged to costs and expenses | 2,357 us-gaap_ValuationAllowancesAndReservesChargedToCostAndExpense / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | 1,350 us-gaap_ValuationAllowancesAndReservesChargedToCostAndExpense / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | 4,573 us-gaap_ValuationAllowancesAndReservesChargedToCostAndExpense / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember
Deductions | (3,355)us-gaap_ValuationAllowancesAndReservesDeductions / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | (2,992)us-gaap_ValuationAllowancesAndReservesDeductions / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | (2,403)us-gaap_ValuationAllowancesAndReservesDeductions / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember
Other changes | (300)us-gaap_ValuationAllowancesAndReservesChargedToOtherAccounts / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | 658 us-gaap_ValuationAllowancesAndReservesChargedToOtherAccounts / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | 3,170 us-gaap_ValuationAllowancesAndReservesChargedToOtherAccounts / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember
Balance at end of year | 13,694 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | 14,992 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember | 15,976 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = rop_AllowanceForDoubtfulAccountsAndSalesAllowancesMember
Reserve for inventory obsolescence [Member] |  |  |
Valuation and Qualifying Accounts Roll Forward] |  |  |
Balance at beginning of year | 43,452 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | 41,967 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | 35,224 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember
Additions charged to costs and expenses | 8,621 us-gaap_ValuationAllowancesAndReservesChargedToCostAndExpense / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | 11,360 us-gaap_ValuationAllowancesAndReservesChargedToCostAndExpense / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | 14,736 us-gaap_ValuationAllowancesAndReservesChargedToCostAndExpense / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember
Deductions | (11,833)us-gaap_ValuationAllowancesAndReservesDeductions / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | (9,696)us-gaap_ValuationAllowancesAndReservesDeductions / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | (8,253)us-gaap_ValuationAllowancesAndReservesDeductions / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember
Other changes | (1,361)us-gaap_ValuationAllowancesAndReservesChargedToOtherAccounts / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | (179)us-gaap_ValuationAllowancesAndReservesChargedToOtherAccounts / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | 260 us-gaap_ValuationAllowancesAndReservesChargedToOtherAccounts / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember
Balance at end of year | $ 38,879 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | $ 43,452 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember | $ 41,967 us-gaap_ValuationAllowancesAndReservesBalance / us-gaap_ValuationAllowancesAndReservesTypeAxis = us-gaap_InventoryValuationReserveMember

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- Definition Total of allowances and reserves, the valuation and qualifying accounts that are either netted against the cost of an asset (in order to value it at its carrying value) or that reflect a liability established to represent expected future costs. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e24092-122690 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Section 09 -Article 12 + Details
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- Definition Total of allowances and reserves, the valuation and qualifying accounts that are either netted against the cost of an asset (in order to value it at its carrying value) or that reflect a liability established to represent expected future costs, charged to costs and expenses. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e24092-122690 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Section 09 -Article 12 + Details
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- Definition Total of allowances and reserves, the valuation and qualifying accounts that are either netted against the cost of an asset (in order to value it at its carrying value) or that reflect a liability established to represent expected future costs, charged to accounts other than costs and expenses in a given period. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e24092-122690 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Section 09 -Article 12 + Details
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- Definition Total of the deductions in a given period to allowances and reserves, the valuation and qualifying accounts that are either netted against the cost of an asset (in order to value it at its carrying value) or that reflect a liability established to represent expected future costs, representing receivables written off as uncollectible and portions of the reserves utilized, respectively. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e24092-122690 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Section 09 -Article 12 + Details
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