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Subsequent Event (Details) - USD ($) $ in Thousands		3 Months Ended
	May 03, 2022	Apr. 02, 2022	Apr. 03, 2021
Subsequent Event [Line Items]
Common stock repurchase and retirement		$ 6,427	$ 0
Subsequent event
Subsequent Event [Line Items]
Share repurchase authorization	$ 100,000
Additional authorized amount	75,000
Accelerated share repurchase agreement	60,000
Remaining authorized amount	$ 40,000

X

- Definition

Stock Repurchase Program, Additional Authorized Amount

+ References

No definition available.

+ Details

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Namespace Prefix:	bxc_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

The amount needed to adjust previously recorded stockholders' equity balances to the actual aggregate amounts paid, whether in cash or other consideration, to acquire all of the shares purchased under an Accelerated Share Repurchase arrangement.

+ References

No definition available.

+ Details

Name:	us-gaap_AcceleratedShareRepurchaseProgramAdjustment
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

The cash outflow to reacquire common stock during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 15
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3291-108585

+ Details

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

X

- Definition

Amount of stock repurchase plan authorized.

+ References

No definition available.

+ Details

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

X

- Definition

Amount remaining of a stock repurchase plan authorized.

+ References

No definition available.

+ Details

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

X

- Definition

Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event.

+ References

No definition available.

+ Details

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

X

- Details

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Namespace Prefix:
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Balance Type:
Period Type: