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Contingencies (Details) individual in Millions, $ in Millions | 3 Months Ended
--- | ---
Mar. 31, 2022 USD ($) individual claim
Vertafore Litigation |
Loss Contingencies [Line Items] |
Number of pending putative class actions | 3
Number of individuals represented by class actions | individual | 27.7
Allen, et al. v. Vertafore, Inc. |
Loss Contingencies [Line Items] |
Number of pending putative class actions | 2
Mulvey, et al. v. Vertafore, Inc. |
Loss Contingencies [Line Items] |
Number of pending putative class actions | 1
Verathon, Inc. |
Loss Contingencies [Line Items] |
Litigation settlement, one time charge | $ | $ 4.1

X
- Definition Amount of litigation expense, including but not limited to legal, forensic, accounting, and investigative fees. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- 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
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of plaintiffs that have filed claims pertaining to a loss contingency. + References No definition available. + Details
Name: | us-gaap_LossContingencyNumberOfPlaintiffs
Namespace Prefix: | us-gaap_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of pending claims pertaining to a loss contingency. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 450 -SubTopic 20 -Section 50 -Paragraph 4 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=121557415&loc=d3e14435-108349 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
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Namespace Prefix: |
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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_LitigationCaseAxis=rop_VerathonIncMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |