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Business Segment Information - Additional Information (Detail) | Sep. 30, 2018
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Kronos Worldwide, Inc. |
Segment Reporting Information [Line Items] |
Direct ownership percentage by parent | 50.00%
Indirect controlling interest in subsidiary | 30.00%
NL |
Segment Reporting Information [Line Items] |
Direct ownership percentage by parent | 83.00%
LandWell |
Segment Reporting Information [Line Items] |
Direct ownership percentage by parent | 27.00%
Indirect controlling interest in subsidiary | 50.00%
BMI |
Segment Reporting Information [Line Items] |
Direct ownership percentage by parent | 63.00%

X
- Definition The parent entity's interest in net assets of the subsidiary, expressed as a percentage. + References No definition available. + Details
Name: | us-gaap_MinorityInterestOwnershipPercentageByParent
Namespace Prefix: | us-gaap_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | instant

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

X
- Definition Controlling interest in subsidiary held indirectly through controlled subsidiary of parent. + References No definition available. + Details
Name: | vhi_IndirectControllingInterestInSubsidiary
Namespace Prefix: | vhi_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | instant

X
- Details
Name: | srt_ConsolidatedEntitiesAxis=vhi_KronosMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_ConsolidatedEntitiesAxis=vhi_NLIndustriesIncMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_ConsolidatedEntitiesAxis=vhi_LandWellMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_ConsolidatedEntitiesAxis=vhi_BasicManagementIncMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |