Fair Value of Financial Instruments (Details) (USD $) In Millions, unless otherwise specified	3 Months Ended
Mar. 31, 2015
Convertible Notes [Member]
Short-term Debt [Line Items]
Fair Value of Debt Instrument	$ 5
Fair Value, Inputs, Level 2 [Member]
Debt Instrument [Line Items]
Face Value of Debt Instrument	2,200
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2017 [Member]
Debt Instrument [Line Items]
Face Value of Debt Instrument	400
Long-term Debt, Fair Value	403
Notes due	2017
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2018 [Member]
Debt Instrument [Line Items]
Face Value of Debt Instrument	800
Long-term Debt, Fair Value	803
Notes due	2018
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2019 [Member]
Debt Instrument [Line Items]
Face Value of Debt Instrument	500
Long-term Debt, Fair Value	580
Notes due	2019
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2022 [Member]
Debt Instrument [Line Items]
Face Value of Debt Instrument	500
Long-term Debt, Fair Value	$ 499
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_DebtInstrumentLineItems
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_ShortTermDebtLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- 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: