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Retirement and Other Benefit Plans (Details) $ in Millions | 12 Months Ended
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Dec. 31, 2015 USD ($) Agreement | Dec. 31, 2014 USD ($) | Dec. 31, 2013 USD ($)
Retirement and Other Benefit Plans [Abstract] |  |  |
Number of defined contribution plans maintained by the company | Agreement | 4 |  |
Defined contribution retirement plan cost | $ | $ 20.4 | $ 19.5 | $ 16.5

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- Definition Number of defined contribution plans maintained by the company. + References No definition available. + Details
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Namespace Prefix: | rop_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | duration

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- References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- 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=49170846&loc=d3e28014-114942 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration