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Goodwill, Impairment Loss Foreign credit carryforwards Deferred Tax Assets, Tax Credit Carryforwards, Foreign Segment Reporting [Abstract] Segment Reporting [Abstract] Change in benefit obligations Defined Benefit Plan, Change in Benefit Obligation [Roll Forward] Corporate Segment Corporate Segment [Member] Forecast Forecast [Member] Risk-free interest rate Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Risk Free Interest Rate Defined Benefit Plan, Plan Assets, Category [Axis] Defined Benefit Plan, Plan Assets, Category [Axis] Documents Incorporated by Reference Documents Incorporated by Reference [Text Block] Discount rate Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Discount Rate Total liabilities and equity Liabilities and Equity 401(K) Plan Flow 401(K) Plan [Member] Flow 401(K) Plan [Member] Acquisitions Accounts Receivable, Purchase Amortization of bridge financing debt issuance costs Amortization of Debt Issuance Costs Long-term Debt, Type [Axis] Long-Term Debt, Type [Axis] Remaining authorized repurchase amount Stock Repurchase Program, Remaining Authorized Repurchase Amount Total deferred tax assets Deferred Tax Assets, Gross Income (loss) before income taxes and noncontrolling interest Schedule of Income before Income Tax, Domestic and Foreign [Table Text Block] Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] Reconciliation of Operating Profit (Loss) from Segments to Consolidated Reconciliation of Operating Profit (Loss) from Segments to Consolidated [Table Text Block] Less: imputed interest Lessee, Operating Lease, Liability, Undiscounted Excess Amount Vesting [Axis] Vesting [Axis] Diluted earnings per ordinary share (USD per share) Diluted earnings (loss) per common share (USD per share) Earnings Per Share, Diluted Defined Contribution Pension and Other Postretirement Plans [Axis] Defined Contribution Pension and Other Postretirement Plans [Axis] Defined Contribution Pension and Other Postretirement Plans [Axis] Pension and other post-retirement (income) expense Pension and Other Postretirement Benefits Cost (Reversal of Cost) Proceeds from sale of property and equipment Proceeds from Sale of Property, Plant, and Equipment Accumulated benefit obligation Defined Benefit Plan, Accumulated Benefit Obligation Vesting period Share-Based Compensation Arrangement by Share-Based Payment Award, Award Vesting Period Research and development costs Deferred Tax Asset, Tax Deferred Expense, Research and Development Costs Deferred Tax Asset, Tax Deferred Expense, Research and Development Costs Consolidation Items [Axis] Consolidation Items [Axis] 2024 Lessee, Operating Lease, Liability, to be Paid, Year Two Other current assets Total other current assets Other Assets, Current Deferred tax assets, net of valuation allowance Deferred Tax Assets, Net of Valuation 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Liability Proceeds from hedge, operating activities Proceeds From Hedge, Operating Activities Proceeds From Hedge, Operating Activities Variable rate debt Long-Term Debt, Percentage Bearing Variable Interest, Amount Expected return on plan assets Defined Benefit Plan, Expected Return (Loss) on Plan Assets Other assets Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Other Noncurrent Assets Trade names intangibles Trade Names [Member] Retirement Plan Type [Axis] Retirement Plan Type [Axis] Recorded Amounts and Estimated Fair Values of Long-term Debt and Derivative Financial Instruments Schedule of Long-Term Debt Instruments [Table Text Block] Machinery and Equipment Machinery and Equipment [Member] Payment of penalties Unrecognized Tax Benefits, Income Tax Penalties Accrued Pension plan assets yielded returns Historical Rate Of Return On Plan Assets Historical Rate of Return on Plan Assets Inventories Inventory Disclosure [Abstract] Plan assets less than benefit obligation Defined Benefit Plan, Funded (Unfunded) Status of Plan Foreign currency contract assets Foreign Currency Contract, Asset, Fair Value Disclosure Other non-current assets Other Noncurrent Assets [Member] Disaggregation of Revenue Disaggregation of Revenue [Table Text Block] Deferred Tax Liabilities, Gross Deferred Tax Liabilities, Gross prepaid taxes long term prepaid taxes long term prepaid taxes long term Contract assets Cost in excess of billings Contract with Customer, Asset, after Allowance for Credit Loss, Current Dividends payable Dividends Payable, Current Cross Currency Swap Currency Swap [Member] Restructuring Related Costs Schedule of Restructuring Reserve by Type of Cost [Table Text Block] Net periodic benefit expense assumptions Defined Benefit Plan, Weighted Average Assumptions Used in Calculating Net Periodic Benefit Cost [Abstract] Estimated amortization expense 2027 Finite-Lived Intangible Asset, Expected Amortization, Year Five Projected benefit 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Impairment charges, excluding goodwill Impairment of Intangible Assets (Excluding Goodwill) Long-term Debt, Type [Domain] Long-Term Debt, Type [Domain] Retirement Benefits [Abstract] Retirement Benefits [Abstract] One customer Customer One [Member] Customer One Statement of Stockholders' Equity [Abstract] Statement of Stockholders' Equity [Abstract] Revenue, Major Customer [Line Items] Revenue, Major Customer [Line Items] Financing activities Net Cash Provided by (Used in) Financing Activities [Abstract] Asset Impairment and Write-offs Asset Impairment and Write-offs [Member] Asset Impairment and Write-offs Plan Assets Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase (Decrease) for Purchase, Sale, and Settlement [Abstract] Asset impairment and write-offs Impairment of trade names Asset Impairment Charges Disaggregation of Revenue [Line Items] Disaggregation of Revenue [Line Items] Proceeds from sale of businesses, net Proceeds from Divestiture of Businesses, Net of Cash Divested Projected benefit obligation Defined Benefit Plan, Pension Plan with Projected Benefit Obligation in Excess of Plan Assets, Projected Benefit Obligation