Fair Value (Details) $ in Millions	Dec. 31, 2015 USD ($)
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	$ 3.1
Convertible Notes [Member]
Fair value debt instruments [Line Items]
Fair value of debt instrument	4.0
Fair Value, Inputs, Level 2 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	3.1
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2017 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	400.0
Long-term Debt, Fair Value	398.0
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2018 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	800.0
Long-term Debt, Fair Value	795.0
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2019 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	500.0
Long-term Debt, Fair Value	553.0
Fair Value, Inputs, Level 2 [Member] \| Senior Notes 2020 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	600.0
Long-term Debt, Fair Value	599.0
Fair Value, Inputs, Level 2 [Member] \| Senior notes due 2022 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	500.0
Long-term Debt, Fair Value	488.0
Fair Value, Inputs, Level 2 [Member] \| Senior Notes 2025 [Member]
Fair value debt instruments [Line Items]
Face Value of Debt Instrument	300.0
Long-term Debt, Fair Value	$ 304.0

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

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=34725769&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=6451184&loc=d3e28551-108399

+ 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=49121117&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=49121117&loc=d3e13476-108611

+ Details

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

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Data Type:	na
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- Details

Name:	us-gaap_FairValueByFairValueHierarchyLevelAxis=us-gaap_FairValueInputsLevel2Member
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- Details

Name:	us-gaap_LongtermDebtTypeAxis=rop_SeniorNotesDue2017Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=rop_SeniorNotes2018Member
Namespace Prefix:
Data Type:	na
Balance Type:
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- Details

Name:	us-gaap_LongtermDebtTypeAxis=rop_SeniorNotesDue2019Member
Namespace Prefix:
Data Type:	na
Balance Type:
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- Details

Name:	us-gaap_LongtermDebtTypeAxis=rop_SeniorNotes2020Member
Namespace Prefix:
Data Type:	na
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- Details

Name:	us-gaap_LongtermDebtTypeAxis=rop_SeniorNotesDue2022Member
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- Details

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