Fair Value (Details) (USD $)	12 Months Ended
Dec. 31, 2014
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	$ 2,200,000us-gaap_DebtInstrumentFaceAmount
Convertible Notes [Member]
Fair value debt instruments [Line Items]
Fair value of debt instrument	8,000,000
Fair Value, Inputs, Level 2 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	2,200,000
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2017 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	400,000,000
Long-term Debt, Fair Value	401,000,000
Notes due	2017
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2018 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	800,000,000
Long-term Debt, Fair Value	800,000,000
Notes due	2018
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2019 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	500,000,000
Long-term Debt, Fair Value	578,000,000
Notes due	2019
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2022 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	500,000,000
Long-term Debt, Fair Value	$ 492,000,000
Notes due	2022

Year when the debt instrument is scheduled to be fully repaid.

No definition available.

Name:	rop_DebtInstrumentMaturityYear
Namespace Prefix:	rop_
Data Type:	xbrli:gYearItemType
Balance Type:	na
Period Type:	duration

- 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 45

-Paragraph 2

-URI http://asc.fasb.org/extlink&oid=6451184&loc=d3e28551-108399

Reference 2: 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=34725769&loc=d3e28878-108400

+ Details

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

- Definition

Fair value portion of debt instrument payable, including, but not limited to, notes payable and loans payable.

+ References

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 825

-SubTopic 10

-Section 50

-Paragraph 10

-Subparagraph (a)

-URI http://asc.fasb.org/extlink&oid=35750535&loc=d3e13433-108611

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 825

-SubTopic 10

-Section 50

-Paragraph 12

-URI http://asc.fasb.org/extlink&oid=35750535&loc=d3e13476-108611

+ Details

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

- Details

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

- Definition

The fair value amount of long-term debt whether such amount is presented as a separate caption or as a parenthetical disclosure. Additionally, this element may be used in connection with the fair value disclosures required in the footnote disclosures to the financial statements. The element may be used in both the balance sheet and disclosure in the same submission.

+ References

No definition available.

+ Details

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

- Details

Name:	us-gaap_FairValueByFairValueHierarchyLevelAxis=us-gaap_FairValueInputsLevel2Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ShortTermDebtTypeAxis=rop_ConvertibleSubordinatedNotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: