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Retirement and Other Benefit Plans (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Dec. 31, 2014 Agreement	Dec. 31, 2013	Dec. 31, 2012
Retirement and Other Benefit Plans [Abstract]
Number of defined contribution plans maintained by the company	4rop_DefinedContributionPlanNumber
Defined contribution retirement plan cost	$ 19.5us-gaap_DefinedContributionPlanCostRecognized	$ 16.5us-gaap_DefinedContributionPlanCostRecognized	$ 16.4us-gaap_DefinedContributionPlanCostRecognized

X

- Definition

Number of defined contribution plans maintained by the company.

+ References

No definition available.

+ Details

Name:	rop_DefinedContributionPlanNumber
Namespace Prefix:	rop_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- Details

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

X

- Definition

The amount of the cost recognized during the period for defined contribution plans.

+ References

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 715

-SubTopic 70

-Section 50

-Paragraph 1

-URI http://asc.fasb.org/extlink&oid=6414718&loc=d3e28014-114942

+ Details

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