Debt Instrument, Covenant, Allowable Add-Back for Consolidated EBITDA

No definition available.

Name:	b_DebtInstrumentCovenantAllowableAddBackForConsolidatedEBITDA
Namespace Prefix:	b_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Debt Instrument, Covenant, Consolidated EBITDA to Consolidated Cash Interest Expense

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentCovenantConsolidatedEBITDAtoConsolidatedCashInterestExpense
Namespace Prefix:	b_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt Instrument, Covenant, Consolidated Senior Debt to Consolidated EBITDA, at Period End

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentCovenantConsolidatedSeniorDebtToConsolidatedEBITDAAtPeriodEnd
Namespace Prefix:	b_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt Instrument, Covenant, Consolidated Senior Debt to Consolidated EBITDA, Fee

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentCovenantConsolidatedSeniorDebtToConsolidatedEBITDAFee
Namespace Prefix:	b_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt Instrument, Covenant, Consolidated Senior Debt to Consolidated EBITDA

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentCovenantConsolidatedSeniorDebttoConsolidatedEBITDA
Namespace Prefix:	b_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt Instrument, Covenant, Material Acquisition, Consolidated Senior Debt to Consolidated EBITDA

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentCovenantMaterialAcquisitionConsolidatedSeniorDebtToConsolidatedEBITDA
Namespace Prefix:	b_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt Instrument, Covenant, Material Acquisition, Total Consolidated Debt to Consolidated EBITDA

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentCovenantMaterialAcquisitionTotalConsolidatedDebttoConsolidatedEBITDA
Namespace Prefix:	b_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt Instrument, Covenant, Threshold for Permitted Acquisition

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentCovenantThresholdforPermittedAcquisition
Namespace Prefix:	b_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Debt Instrument, Covenant, Total Consolidated Debt to Consolidated EBITDA

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentCovenantTotalConsolidatedDebttoConsolidatedEBITDA
Namespace Prefix:	b_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt Instrument, Prepayment Percentage of Principal Amount

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentPrepaymentPercentageofPrincipalAmount
Namespace Prefix:	b_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Debt Instrument, Variable Rate Basis

+ References

No definition available.

+ Details

Name:	b_DebtInstrumentVariableRateBasis
Namespace Prefix:	b_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Line of Credit Facility, Accordion Feature, Increase Limit

+ References

No definition available.

+ Details

Name:	b_LineOfCreditFacilityAccordionFeatureIncreaseLimit
Namespace Prefix:	b_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Line of credit facility with accordian feature, maximum borrowing capacity

+ References

No definition available.

+ Details

Name:	b_LineofCreditFacilityWithAccordianFeatureMaximumBorrowingCapacity
Namespace Prefix:	b_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Repayment period

+ References

No definition available.

+ Details

Name:	b_RepaymentPeriod
Namespace Prefix:	b_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Carrying amount as of the balance sheet date of drafts and bills of exchange that have been accepted by the reporting bank, or by others for its own account, as its liability to holders of the drafts.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03.14)
-URI http://asc.fasb.org/extlink&oid=120398452&loc=d3e534808-122878

+ Details

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

- Definition

Percentage points added to the reference rate to compute the variable rate on the debt instrument.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount, before unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but is not limited to, notes payable, bonds payable, commercial loans, mortgage loans, convertible debt, subordinated debt and other types of debt.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 470
-SubTopic 20
-Section 50
-Paragraph 4
-Subparagraph (b)(1)
-URI http://asc.fasb.org/extlink&oid=120520924&loc=SL6031897-161870

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 944
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(16))
-URI http://asc.fasb.org/extlink&oid=120400017&loc=d3e572229-122910

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(22))
-URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(16))
-URI http://asc.fasb.org/extlink&oid=120398452&loc=d3e534808-122878

+ Details

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

- Definition

Face (par) amount of debt instrument at time of issuance.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 835
-SubTopic 30
-Section 45
-Paragraph 2
-URI http://asc.fasb.org/extlink&oid=119993939&loc=d3e28551-108399

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 835
-SubTopic 30
-Section 55
-Paragraph 8
-URI http://asc.fasb.org/extlink&oid=114775985&loc=d3e28878-108400

+ Details

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

- Definition

Contractual interest rate for funds borrowed, under the debt agreement.

+ References

+ Details

Name:	us-gaap_DebtInstrumentInterestRateStatedPercentage
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

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

- Definition

Amount of unused borrowing capacity under the long-term financing arrangement that is available to the entity as of the balance sheet date.

+ References

+ Details

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

- Definition

Amount, after accumulated amortization, of debt issuance costs. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs.

+ References

+ Details

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

- Definition

Present value of lessee's discounted obligation for lease payments from finance lease, classified as noncurrent.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 45
-Paragraph 1
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=121603541&loc=SL77918627-209977

+ Details

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

- Definition

Amount of the fee for available but unused credit capacity under the credit facility.

+ References

+ Details

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

- Definition

The fee, expressed as a percentage of the line of credit facility, for the line of credit facility regardless of whether the facility has been used.

+ References

No definition available.

+ Details

Name:	us-gaap_LineOfCreditFacilityCommitmentFeePercentage
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

The effective interest rate at the end of the reporting period.

+ References

+ Details

Name:	us-gaap_LineOfCreditFacilityInterestRateAtPeriodEnd
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

+ References

+ Details

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

- Definition

Amount of borrowing capacity currently available under the credit facility (current borrowing capacity less the amount of borrowings outstanding).

+ References

+ Details

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

- Definition

Reflects the total carrying amount as of the balance sheet date of debt having initial terms less than one year or the normal operating cycle, if longer.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(19)(a))
-URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 944
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(a)(16)(a)(1))
-URI http://asc.fasb.org/extlink&oid=120400017&loc=d3e572229-122910

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 210
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(13))
-URI http://asc.fasb.org/extlink&oid=120398452&loc=d3e534808-122878

+ Details

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

- Details

Name:	us-gaap_ShortTermDebtTypeAxis=us-gaap_LineOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_LineOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_BankOverdraftsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=b_ThreePointNineSevenPercentSeniorNotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_SeniorNotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=b_SixthAmendmentMaturityFebruary2022Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VariableRateAxis=b_EuriborMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VariableRateAxis=us-gaap_BaseRateMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=b_SixthAmendmentMaturityFebruary2022AndThreePointNineSevenPercentSeniorNotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_CurrencyAxis=currency_EUR
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=b_LineOfCreditAndSeniorNotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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

- Details

Name:	us-gaap_DebtInstrumentAxis=b_FifthAmendmentMaturityFebruary2022AndThreePointSevenPercentSeniorNotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=b_SixthAdmendmentMaturityFebruary2026Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=b_SixthAdmendmentMaturityFebruary2026MulticurrencyBorrowingsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=b_SixthAdmendmentMaturityFebruary2026AndNineThreePointSevenPercentSeniorNotesMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=b_AmendmentNo1ToAmendedCreditAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VariableRateAxis=us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Debt - Narrative (Details) € in Thousands			3 Months Ended
Debt - Narrative (Details) € in Thousands	Apr. 06, 2022 USD ($)	Feb. 10, 2021 USD ($)	Mar. 31, 2022 USD ($)	Mar. 31, 2022 EUR (€)	Dec. 31, 2021 USD ($)	Dec. 31, 2021 EUR (€)	Oct. 08, 2020 USD ($)	Oct. 07, 2020 USD ($)	Oct. 31, 2014 USD ($)
Debt Instrument [Line Items]
Notes and overdrafts payable			$ 978,000		$ 1,900,000
Finance lease			5,935,000		6,505,000
Bank acceptances executed and outstanding			0		1,676,000
Amended Credit Agreement
Debt Instrument [Line Items]
Notes and overdrafts payable			0
Amended Credit Agreement
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity			71,000,000
Carrying amount of debt					495,262,000
Bank Overdrafts
Debt Instrument [Line Items]
Notes and overdrafts payable			$ 978,000		224,000
Repayment period			2 days
3.97% Senior Notes \| Senior Notes
Debt Instrument [Line Items]
Debt instrument, face amount									$ 100,000,000
Stated interest rate			3.97%	3.97%					3.97%
Percent allowed to be prepaid									100.00%
Carrying amount of debt			$ 100,000,000		100,000,000
Sixth Amendment Maturity February 2022 \| Amended Credit Agreement
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity							$ 1,000,000
Line of credit facility, accordion feature		$ 200,000					200,000,000
Sixth Amendment Maturity February 2022 \| Amended Credit Agreement \| Euribor
Debt Instrument [Line Items]
Variable basis spread		1.175%
Sixth Amendment Maturity February 2022 \| Amended Credit Agreement \| Base Rate
Debt Instrument [Line Items]
Variable basis spread		0.175%
Sixth Amendment Maturity February 2022 and 3.97% Percent Senior Notes
Debt Instrument [Line Items]
Carrying amount of debt					495,262,000
Remaining borrowing capacity					504,738,000
Sixth Amendment Maturity February 2022 and 3.97% Percent Senior Notes \| Euro Member Countries, Euro
Debt Instrument [Line Items]
Carrying amount of debt					$ 360,262,000	€ 318,450
Line of credit, interest rate at period end					1.48%	1.48%
Sixth Amendment Maturity February 2022 and 3.97% Percent Senior Notes \| Line of Credit and Senior Notes
Debt Instrument [Line Items]
Debt covenant threshold for permitted acquisition							$ 150,000,000
Debt covenant material acquisition, senior debt to EBITDA							3.50
Debt covenant ratio of total debt to EBITDA							3.75
Allowable add-back for consolidated EBITDA							$ 25,000,000
Debt covenant, fee for exceeding senior leverage ratio							0.0050
Fees and expenses for executing admendments							$ 1,384,000
Sixth Amendment Maturity February 2022 and 3.97% Percent Senior Notes \| Line of Credit and Senior Notes \| Minimum
Debt Instrument [Line Items]
Debt covenant ratio of senior debt to EBITDA							3.25
Sixth Amendment Maturity February 2022 and 3.97% Percent Senior Notes \| Line of Credit and Senior Notes \| Maximum
Debt Instrument [Line Items]
Debt covenant ratio of senior debt to EBITDA							3.75
Fifth Amendment Maturity February 2022 and 3.97% Senior Notes \| Line of Credit and Senior Notes
Debt Instrument [Line Items]
Allowable add-back for consolidated EBITDA								$ 15,000,000
Sixth Admendment Maturity February 2026 \| Amended Credit Agreement
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity		$ 1,000,000,000
Line of credit facility, accordion feature		250,000
Debt covenant ratio of senior debt to EBITDA			3.25	3.25
Debt covenant threshold for permitted acquisition		$ 150,000
Debt covenant material acquisition, senior debt to EBITDA		3.50
Debt covenant ratio of total debt to EBITDA		3.75
Fees and expenses for executing admendments					$ 4,306,000
Line of credit facility with accordian feature, maximum borrowing capacity		$ 1,250,000
Debt covenant material acquisition, debt to EBITDA		4.25
Debt covenant ratio of EBITDA to cash interest expense		4.25
Senior debt to consolidated EBITDA at period end			2.42	2.42
Sixth Admendment Maturity February 2026 \| Amended Credit Agreement \| Euribor
Debt Instrument [Line Items]
Variable basis spread		1.775%
Sixth Admendment Maturity February 2026 \| Amended Credit Agreement \| Base Rate
Debt Instrument [Line Items]
Variable basis spread		0.775%
Sixth Admendment Maturity February 2026 \| Amended Credit Agreement \| Maximum
Debt Instrument [Line Items]
Debt covenant ratio of senior debt to EBITDA		3.25
Sixth Admendment Maturity February 2026, Multicurrency Borrowings \| Amended Credit Agreement \| Euribor
Debt Instrument [Line Items]
Basis for variable basis spread		0.00%
Sixth Admendment Maturity February 2026, Multicurrency Borrowings \| Amended Credit Agreement \| Minimum \| Euribor
Debt Instrument [Line Items]
Variable basis spread		1.175%
Sixth Admendment Maturity February 2026, Multicurrency Borrowings \| Amended Credit Agreement \| Maximum \| Euribor
Debt Instrument [Line Items]
Variable basis spread		1.775%
Sixth Admendment Maturity February 2026 and 3.97% Senior Notes
Debt Instrument [Line Items]
Carrying amount of debt			$ 490,743,000
Remaining borrowing capacity			509,257,000
Additional borrowings allowed under financial covenants			329,702,000
Sixth Admendment Maturity February 2026 and 3.97% Senior Notes \| Euro Member Countries, Euro
Debt Instrument [Line Items]
Carrying amount of debt			$ 345,743,000	€ 310,000
Line of credit, interest rate at period end			1.38%	1.38%
Sixth Admendment Maturity February 2026 and 3.97% Senior Notes \| Senior Notes
Debt Instrument [Line Items]
Additional borrowings allowed under financial covenants			$ 206,054,000
Amendment No. 1 \| Amended Credit Agreement \| Subsequent Event
Debt Instrument [Line Items]
Commitment fee amount	$ 1,034,000
Amendment No. 1 \| Amended Credit Agreement \| Minimum \| Subsequent Event
Debt Instrument [Line Items]
Commitment fee percentage	0.15%
Amendment No. 1 \| Amended Credit Agreement \| Minimum \| Base Rate \| Subsequent Event
Debt Instrument [Line Items]
Variable basis spread	0.00%
Amendment No. 1 \| Amended Credit Agreement \| Minimum \| Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate \| Subsequent Event
Debt Instrument [Line Items]
Variable basis spread	0.975%
Amendment No. 1 \| Amended Credit Agreement \| Maximum \| Subsequent Event
Debt Instrument [Line Items]
Commitment fee percentage	0.30%
Amendment No. 1 \| Amended Credit Agreement \| Maximum \| Base Rate \| Subsequent Event
Debt Instrument [Line Items]
Variable basis spread	0.70%
Amendment No. 1 \| Amended Credit Agreement \| Maximum \| Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate \| Subsequent Event
Debt Instrument [Line Items]
Variable basis spread	1.70%