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Balance Sheet Information - Additional Information (Detail) - USD ($) $ in Millions	9 Months Ended
	Sep. 27, 2025	Dec. 28, 2024
Disclosure Balance Sheet Information Supplemental Information On Balance Sheets Detail [Abstract]
Assets held for sale, aggregate carrying value		$ 153.6
Impairment charge	$ 49.7

X

- Definition

Disclosure Balance Sheet Information Supplemental Information On Balance Sheets Detail Abstract

+ References

No definition available.

+ Details

Name:	fbin_DisclosureBalanceSheetInformationSupplementalInformationOnBalanceSheetsDetailAbstract
Namespace Prefix:	fbin_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

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- Definition

Amount of assets held-for-sale that are not part of a disposal group.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 360
-SubTopic 10
-Name Accounting Standards Codification
-Section 15
-Paragraph 4
-Subparagraph (b)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482309/360-10-15-4

+ Details

Name:	us-gaap_AssetsHeldForSaleNotPartOfDisposalGroup
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

For the asset that is reclassified back to held and used from held-for-sale, the amount of impairment charge that is recognized on the reclassification date.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 360
-SubTopic 10
-Section 45
-Paragraph 7
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482130/360-10-45-7

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 360
-SubTopic 10
-Section 35
-Paragraph 44
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482190/360-10-35-44

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