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v3.10.0.1

Intangible assets (Parenthetical) (Detail) | 12 Months Ended
--- | ---
Oct. 31, 2018 | Oct. 31, 2017
Customer relationships (estimated lives 7 - 15 years) |  |
Intangible Assets [Line Items] |  |
Finite-Lived Intangible Asset, Useful Life |  | 15 years
Customer relationships (estimated lives 7 - 15 years) | Maximum [Member] |  |
Intangible Assets [Line Items] |  |
Finite-Lived Intangible Asset, Useful Life | 15 years |
Customer relationships (estimated lives 7 - 15 years) | Minimum [Member] |  |
Intangible Assets [Line Items] |  |
Finite-Lived Intangible Asset, Useful Life | 7 years | 7 years
Patents (estimated life 14 years) |  |
Intangible Assets [Line Items] |  |
Finite-Lived Intangible Asset, Useful Life | 14 years | 14 years

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- Definition Intangible Assets [Line Items] + References No definition available. + Details
Name: | rfil_IntangibleAssetsLineItems
Namespace Prefix: | rfil_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
Name: | us-gaap_FiniteLivedIntangibleAssetUsefulLife
Namespace Prefix: | us-gaap_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=us-gaap_CustomerRelationshipsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_RangeAxis=srt_MaximumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_RangeAxis=srt_MinimumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=us-gaap_PatentsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |