Name:	rop_CommonStockSalesPricePercentageThreshold
Namespace Prefix:	rop_
Data Type:	us-types:percentItemType
Balance Type:	na
Period Type:	duration

The price per share of the conversion feature embedded in the debt instrument for the fifth conversion date.

No definition available.

Name:	rop_DebtInstrumentConvertibleConversionPriceFifthConversionDate
Namespace Prefix:	rop_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

The price per share of the conversion feature embedded in the debt instrument for the first conversion date.

No definition available.

Name:	rop_DebtInstrumentConvertibleConversionPriceFirstConversionDate
Namespace Prefix:	rop_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

The price per share of the conversion feature embedded in the debt instrument for the fourth conversion date.

No definition available.

Name:	rop_DebtInstrumentConvertibleConversionPriceFourthConversionDate
Namespace Prefix:	rop_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

The price per share of the conversion feature embedded in the debt instrument for the third conversion date.

No definition available.

Name:	rop_DebtInstrumentConvertibleConversionPriceThirdConversionDate
Namespace Prefix:	rop_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Fifth date established on which the debt instrument can be converted into equity, which may be presented in a variety of ways (for example, (year only, month and year, day, month and year, quarter).

No definition available.

Name:	rop_DebtInstrumentConvertibleFifthConversionDate
Namespace Prefix:	rop_
Data Type:	us-types:dateStringItemType
Balance Type:	na
Period Type:	duration

Fourth date established on which the debt instrument can be converted into equity, which may be presented in a variety of ways (for example, (year only, month and year, day, month and year, quarter).

No definition available.

Name:	rop_DebtInstrumentConvertibleFourthConversionDate
Namespace Prefix:	rop_
Data Type:	us-types:dateStringItemType
Balance Type:	na
Period Type:	duration

Second date established on which the debt instrument can be converted into equity, which may be presented in a variety of ways (for example, (year only, month and year, day, month and year, quarter).

No definition available.

Name:	rop_DebtInstrumentConvertibleSecondConversionDate
Namespace Prefix:	rop_
Data Type:	us-types:dateStringItemType
Balance Type:	na
Period Type:	duration

Third date established on which the debt instrument can be converted into equity, which may be presented in a variety of ways (for example, (year only, month and year, day, month and year, quarter).

No definition available.

Name:	rop_DebtInstrumentConvertibleThirdConversionDate
Namespace Prefix:	rop_
Data Type:	us-types:dateStringItemType
Balance Type:	na
Period Type:	duration

When presenting a range of interest payment dates, the latest date when the interest payments are required to be paid.

No definition available.

Name:	rop_DebtInstrumentInterestPaymentsDateRangeEnd
Namespace Prefix:	rop_
Data Type:	us-types:dateStringItemType
Balance Type:	na
Period Type:	duration

When presenting a range of interest payment dates, the earliest date when the interest payments are required to be paid.

No definition available.

Name:	rop_DebtInstrumentInterestPaymentsDateRangeStart
Namespace Prefix:	rop_
Data Type:	us-types:dateStringItemType
Balance Type:	na
Period Type:	duration

The number of years the credit facility is available and to repaid before maturity.

No definition available.

Name:	rop_DebtTermNumberYears
Namespace Prefix:	rop_
Data Type:	xbrli:decimalItemType
Balance Type:	na
Period Type:	duration

Outstanding guarantees of payment to a beneficiary, or as the source of payment for a specific transaction (for example, wiring funds to a foreign exporter if and when specified merchandise is accepted pursuant to the terms of the letter of credit).

No definition available.

Name:	rop_LettersOfCreditOutstanding
Namespace Prefix:	rop_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

The minimum number of trading days within a number of consecutive trading days in a quarter that the common stock price must meet a specified threshold to trigger conversion price.

No definition available.

Name:	rop_MinimumNumberOfTradingDaysToTriggerConversionPrice
Namespace Prefix:	rop_
Data Type:	xbrli:decimalItemType
Balance Type:	na
Period Type:	duration

The number of consecutive trading days in a quarter that the minimum number of trading days must fall within that the common stock price has met a specified threshold to trigger conversion price.

No definition available.

Name:	rop_NumberOfConsecutiveTradingDaysInQuarterToTriggerConversionPrice
Namespace Prefix:	rop_
Data Type:	xbrli:decimalItemType
Balance Type:	na
Period Type:	duration

The number of trading days used to determine the average market price of convertible subordinated notes used to calculate the contingent cash interest rate.

No definition available.

Name:	rop_NumberOfDaysUsedToEstablishAverageMarketPriceOfConvertibleSubordinatedNotes
Namespace Prefix:	rop_
Data Type:	xbrli:normalizedStringItemType
Balance Type:	na
Period Type:	duration

Amount of subordinated convertible notes issued. Notes with the highest claim on the assets of the issuer in case of bankruptcy or liquidation (with maturities initially due after one year or beyond the operating cycle if longer). Senior note holders are paid off in full before any payments are made to junior note holders.

No definition available.

Name:	rop_SeniorNotesOffering
Namespace Prefix:	rop_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

The contingent cash interest payable per note if the notes become convertible.

No definition available.

Name:	rop_SubordinatedConvertibleNotesContingentCashInterestPercentage
Namespace Prefix:	rop_
Data Type:	us-types:percentItemType
Balance Type:	na
Period Type:	duration

The date the convertible note became convertible as a result of stock price being traded above trigger price during the required consecutive trading days.

No definition available.

Name:	rop_SubordinatedConvertibleNotesDateConverted
Namespace Prefix:	rop_
Data Type:	us-types:dateStringItemType
Balance Type:	na
Period Type:	duration

Describes the minimum term over which holders of subordinated convertible notes become eligible for contingent interest.

No definition available.

Name:	rop_SubordinatedConvertibleNotesHoldingPeriodDescription
Namespace Prefix:	rop_
Data Type:	xbrli:normalizedStringItemType
Balance Type:	na
Period Type:	duration

The issue discount rate for the issuance of subordinated convertible notes.

No definition available.

Name:	rop_SubordinatedConvertibleNotesIssueDiscountPercentage
Namespace Prefix:	rop_
Data Type:	us-types:percentItemType
Balance Type:	na
Period Type:	instant

Total aggregate indebtedness divided by total shareholders equity

No definition available.

Name:	rop_UnsecuredCreditFacilityDebtCovenantLeverageRatio
Namespace Prefix:	rop_
Data Type:	xbrli:decimalItemType
Balance Type:	na
Period Type:	instant

Adjustment to Additional Paid in Capital resulting from the recognition of deferred taxes for the temporary difference of the convertible debt with a beneficial conversion feature. A beneficial conversion feature is a nondetachable conversion feature that is in-the-money.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Emerging Issues Task Force (EITF)

-Number 05-8

Name:	us-gaap_AdjustmentsToAdditionalPaidInCapitalConvertibleDebtWithConversionFeature
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

The component of interest income or expense representing the periodic increase in or charge against earnings to reflect amortization of debt discounts and premiums over the life of the related debt instruments, which are liabilities of the entity.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher AICPA

-Name Accounting Principles Board Opinion (APB)

-Number 21

-Paragraph 16

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 03

-Paragraph 8

-Article 5

Name:	us-gaap_AmortizationOfDebtDiscountPremium
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

The price per share of the conversion feature embedded in the debt instrument.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name FASB Staff Position (FSP)

-Number APB14-1

-Paragraph 32

-Subparagraph b

Name:	us-gaap_DebtInstrumentConvertibleConversionPrice
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

The earliest date on which the debt instrument can be converted into equity, which may be presented in a variety of ways (for example, (year only, month and year, day, month and year, quarter).

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Statement of Financial Accounting Standard (FAS)

-Number 129

-Paragraph 4

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 22

-Article 5

Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Emerging Issues Task Force (EITF)

-Number 00-27

-Paragraph 56

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Data Type:	us-types:dateStringItemType
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Period Type:	duration

The effective interest rate on the liability component of convertible debt instrument which may be settled in cash upon conversion, including partial cash settlement.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name FASB Staff Position (FSP)

-Number APB14-1

-Paragraph 33

-Subparagraph a

Name:	us-gaap_DebtInstrumentConvertibleEffectiveInterestRate
Namespace Prefix:	us-gaap_
Data Type:	us-types:percentItemType
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The amount by which the convertible debt's if-converted value exceeds its principle amount at the balance sheet date, regardless of whether the instrument is currently convertible. This element applies to public companies only.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name FASB Staff Position (FSP)

-Number APB14-1

-Paragraph 32

-Subparagraph c

Name:	us-gaap_DebtInstrumentConvertibleIfConvertedValueInExcessOfPrincipal
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Interest expense related to convertible debt instruments which has been recognized for the period, including the contractual interest coupon and amortization of the debt discount, if any.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name FASB Staff Position (FSP)

-Number APB14-1

-Paragraph 33

-Subparagraph b

Name:	us-gaap_DebtInstrumentConvertibleInterestExpense
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

The number of equity instruments that the holder of the debt instrument would receive if the debt was converted to equity.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Statement of Financial Accounting Standard (FAS)

-Number 129

-Paragraph 4

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 22

-Article 5

Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name FASB Staff Position (FSP)

-Number APB14-1

-Paragraph 32

-Subparagraph b

Name:	us-gaap_DebtInstrumentConvertibleNumberOfEquityInstruments
Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

Net increase or decrease in the carrying amount of the debt instrument for the period for reasons other than accrued but unpaid interest, additional borrowings, forgiveness and repayments.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 08

-Paragraph f

-Article 4

Name:	us-gaap_DebtInstrumentIncreaseDecreaseOtherNet
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

Interest rate stated in the contractual debt agreement.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 22

-Article 5

Name:	us-gaap_DebtInstrumentInterestRateStatedPercentage
Namespace Prefix:	us-gaap_
Data Type:	us-types:percentItemType
Balance Type:	na
Period Type:	instant

Date when the debt instrument was issued, which may be presented in a variety of ways (year, month and year, day, month and year, quarter, etc.).

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 22

-Article 5

Name:	us-gaap_DebtInstrumentIssuanceDate
Namespace Prefix:	us-gaap_
Data Type:	us-types:dateStringItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_DebtInstrumentLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

Amount of unused borrowing capacity under the long-term financing arrangement that is available to the entity as of the balance-sheet date.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 22

-Subparagraph b

-Article 5

Name:	us-gaap_DebtInstrumentUnusedBorrowingCapacityAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Gross amount of debt extinguished.

No definition available.

Name:	us-gaap_ExtinguishmentOfDebtAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

The net change during the reporting period in other obligations not otherwise defined in the taxonomy where the payments will be made in future periods.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Statement of Financial Accounting Standard (FAS)

-Number 95

-Paragraph 28

Name:	us-gaap_IncreaseDecreaseInOtherDeferredLiability
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Details

Name:	us-gaap_InterestExpenseAbstract
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Data Type:	xbrli:stringItemType
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Represents the portion of interest incurred in the period on debt arrangements that was charged against earnings.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 03

-Paragraph 8

-Article 5

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Statement of Financial Accounting Standard (FAS)

-Number 34

-Paragraph 21

Name:	us-gaap_InterestExpenseDebt
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

Identification of whether the entity has been in compliance with any credit facility debt covenants during the period.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Statement of Financial Accounting Standard (FAS)

-Number 129

-Paragraph 2, 4

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 19, 22

-Article 5

Name:	us-gaap_LineOfCreditFacilityCovenantCompliance
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_LongTermDebtByMaturityAbstract
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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

Total of the portions of the carrying amounts as of the balance sheet date of long-term debt, which may include notes payable, bonds payable, debentures, mortgage loans, and commercial paper, which are scheduled to be repaid within one year or the normal operating cycle, if longer, and after deducting unamortized discount or premiums, if any.

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 20

-Article 5

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Regulation S-X (SX)

-Number 210

-Section 02

-Paragraph 19

-Article 5

Name:	us-gaap_LongTermDebtCurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Amount of long-term debt maturities after year five following the date of the latest balance sheet presented in the financial statements, which may include maturities of long-term debt, sinking fund requirements, and other securities redeemable at fixed of determinable prices and dates.