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Revenue - Changes in Deferred Revenue Liabilities (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2023	Dec. 31, 2022
Revenue from Contract with Customer [Abstract]
Beginning Balance	$ 32.1	$ 22.2
Amount from acquisitions	10.1	12.0
Customer deposits	30.1	32.2
Revenue recognized	(31.7)	(32.8)
Foreign currency and other	(0.4)	(1.5)
Ending Balance	$ 40.2	$ 32.1

X

- Definition

Contract with customer liability amount from acquisitions.

+ References

No definition available.

+ Details

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Namespace Prefix:	fbin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Contract with customer liability customer deposits.

+ References

No definition available.

+ Details

Name:	fbin_ContractWithCustomerLiabilityCustomerDeposits
Namespace Prefix:	fbin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Contract with customer liability foreign currency and other.

+ References

No definition available.

+ Details

Name:	fbin_ContractWithCustomerLiabilityForeignCurrencyAndOther
Namespace Prefix:	fbin_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147479837/606-10-45-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 8
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147479806/606-10-50-8

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147479837/606-10-45-2

+ Details

Name:	us-gaap_ContractWithCustomerLiability
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Amount of revenue recognized that was previously included in balance of obligation to transfer good or service to customer for which consideration from customer has been received or is due.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 8
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147479806/606-10-50-8

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Period Type:	duration

X

- References

No definition available.

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