Debt Instrument, Covenant, Leverage Ratio

No definition available.

Name:	rop_DebtInstrumentCovenantLeverageRatio
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- Definition

Face (par) amount of debt instrument at time of issuance.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 835
-SubTopic 30
-Section 55
-Paragraph 8
-URI http://asc.fasb.org/extlink&oid=64930739&loc=d3e28878-108400

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 835
-SubTopic 30
-Section 45
-Paragraph 2
-URI http://asc.fasb.org/extlink&oid=64930785&loc=d3e28551-108399

+ Details

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

- Definition

Contractual interest rate for funds borrowed, under the debt agreement.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.22(a)(1))
-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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

- Definition

Percentage price of original principal amount of debt at which debt can be redeemed by the issuer.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 470
-Section 50
-Paragraph 3
-Subparagraph e
-URI http://asc.fasb.org/extlink&oid=75038535&loc=d3e64711-112823

+ Details

Name:	us-gaap_DebtInstrumentRedemptionPricePercentage
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Period of time between issuance and maturity of debt instrument, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentTerm
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

The total amount of the contingent obligation under letters of credit outstanding as of the reporting date.

+ References

No definition available.

+ Details

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

- Definition

Amount of current borrowing capacity under the credit facility considering any current restrictions on the amount that could be borrowed (for example, borrowings may be limited by the amount of current assets), but without considering any amounts currently outstanding under the facility.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.19(b),22(b))
-URI http://asc.fasb.org/extlink&oid=6877327&loc=d3e13212-122682

+ Details

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

- Definition

The cash outflow for debt initially having maturity due after one year or beyond the normal operating cycle, if longer.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 15
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=98514028&loc=d3e3291-108585

+ Details

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

- Details

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- Details

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- Details

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- Details

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- Details

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- Details

Name:	us-gaap_DebtInstrumentAxis=rop_CreditFacilityMember2012Member
Namespace Prefix:
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- Details

Name:	us-gaap_DebtInstrumentAxis=rop_SeniorNotes2021Member
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- Details

Name:	us-gaap_DebtInstrumentAxis=rop_SeniorNotes2026Member
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- Details

Name:	us-gaap_DebtInstrumentAxis=rop_SeniorNotes2020Member
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- Details

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- Details

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- Details

Name:	us-gaap_DebtInstrumentAxis=rop_SeniorNotes2022Member
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- Details

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- Details

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- Details

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- Details

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Long-Term Debt (Details)			12 Months Ended
Long-Term Debt (Details)	Nov. 15, 2017 USD ($)	Sep. 23, 2016 USD ($)	Dec. 31, 2017 USD ($)	Dec. 27, 2016	Dec. 19, 2016 USD ($)	Dec. 02, 2016	Dec. 07, 2015 USD ($)	Jun. 06, 2013 USD ($)	Nov. 21, 2012 USD ($)	Jul. 27, 2012 USD ($)	Sep. 30, 2009 USD ($)
Debt Instrument [Line Items]
Letters of credit outstanding			$ 75,900,000
Redemption price percentage			100.00%
Credit Facility Member 2016
Debt Instrument [Line Items]
Debt instrument term		5 years
Current borrowing capacity		$ 2,500,000,000
Face amount of debt			$ 1,300,000,000
Consolidated total leverage ratio		3.5
Credit Facility Member 2016 \| Through June 30, 2017
Debt Instrument [Line Items]
Consolidated total leverage ratio				4.25
Credit Facility Member 2016 \| Through December 31, 2017
Debt Instrument [Line Items]
Consolidated total leverage ratio				4.00
Credit Facility Member 2016 \| Maximum
Debt Instrument [Line Items]
Current borrowing capacity		$ 500,000,000
Letters of credit outstanding		$ 150,000,000
Consolidated total leverage ratio						4.25
Credit Facility Member 2016 \| Minimum
Debt Instrument [Line Items]
Consolidated total leverage ratio						4.0
Credit Facility Member 2012
Debt Instrument [Line Items]
Current borrowing capacity										$ 1,850,000,000
$500 million 2.800% senior notes due 2021
Debt Instrument [Line Items]
Face amount of debt			$ 500,000,000		$ 500,000,000
Interest rate			2.80%		2.80%
$700 million 3.800% senior notes due 2026
Debt Instrument [Line Items]
Face amount of debt			$ 700,000,000		$ 700,000,000
Interest rate			3.80%		3.80%
$600 million 3.000% senior notes due 2020
Debt Instrument [Line Items]
Face amount of debt			$ 600,000,000				$ 600,000,000
Interest rate			3.00%				3.00%
$300 million 3.850% senior notes due 2025
Debt Instrument [Line Items]
Face amount of debt			$ 300,000,000				$ 300,000,000
Interest rate			3.85%				3.85%
$800 million 2.050% senior notes due 2018
Debt Instrument [Line Items]
Face amount of debt			$ 800,000,000					$ 800,000,000
Interest rate			2.05%					2.05%
$500 million 3.125% senior notes due 2022
Debt Instrument [Line Items]
Face amount of debt			$ 500,000,000						$ 500,000,000
Interest rate			3.125%						3.125%
$500 million 6.250% senior notes due 2019
Debt Instrument [Line Items]
Face amount of debt			$ 500,000,000								$ 500,000,000
Interest rate			6.25%								6.25%
$400 million 1.850% senior notes due 2017
Debt Instrument [Line Items]
Face amount of debt	$ 400,000,000		$ 400,000,000
Repayments of debt	$ 400,000,000
Interest rate			1.85%
Senior Notes Total
Debt Instrument [Line Items]
Face amount of debt			$ 3,900,000,000
Capital Lease Obligations And Foreign Letter Of Credit Issuance
Debt Instrument [Line Items]
Face amount of debt			$ 3,100,000