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other liabilities Increase (Decrease) in Accrued Liabilities Leasehold improvements Leasehold Improvements [Member] Unallocated corporate expenses Segment Reporting, Other Segment Item, Amount Property, Plant and Equipment, Type [Axis] Long-Lived Asset, Class [Axis] Consolidated net leverage ratio Debt Instrument, Covenant, Consolidated Net Leverage Ratio Debt Instrument, Covenant, Consolidated Net Leverage Ratio Repayment of term debt Repayments of Secured Debt Stock Price or TSR Estimation Method Stock Price or TSR Estimation Method [Text Block] Entity Tax Identification Number Entity Tax Identification Number Derivative Instruments and Hedging Activities Disclosures [Table] Derivative Instruments and Hedging Activities Disclosures [Table] Change in net unrealized gains Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), before Reclassification, after Tax Cash and cash equivalents CASH AND CASH EQUIVALENTS—Beginning of period CASH AND CASH EQUIVALENTS—End of period Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Continuing Operation Accounts payable Increase (Decrease) in Accounts Payable Other accrued expenses Other Accrued Liabilities, Current Entity Incorporation, State or Country Code Entity Incorporation, State or Country Code Base Rate Base Rate [Member] Aggregate Erroneous Compensation Not Yet Determined Aggregate Erroneous Compensation Not Yet Determined [Text Block] Material Terms of Trading Arrangement Material Terms of Trading Arrangement [Text Block] Non-NEOs Non-NEOs [Member] Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year Vesting Date Fair Value of Equity Awards Granted and Vested in Covered Year [Member] Comprehensive income (loss) Comprehensive Income (Loss), Net of Tax, Including Portion Attributable to Noncontrolling Interest Debt Instrument [Axis] Debt Instrument [Axis] Non-cash stock-based compensation Share-Based Payment Arrangement, Noncash Expense Disposal Group Name [Axis] Disposal Group Name [Axis] Inventory Schedule of Inventory, Current [Table Text Block] 2027 Long-Term Debt, Maturity, Year One Long-Term Debt, Type [Domain] Long-Term Debt, Type [Domain] Basic (in dollars per share) Earnings Per Share, Basic Total current assets Assets, Current Statistical Measurement [Axis] Statistical Measurement [Axis] Insider Trading Arrangements [Line Items] Long-term debt less current portion Long-Term Debt, Excluding Current Maturities Award Type [Axis] Award Type [Axis] Named Executive Officers, Footnote Named Executive Officers, Footnote [Text Block] Accounts receivable (net of allowances of $3,265 and $2,881, respectively) Accounts Receivable, after Allowance for Credit Loss, Current Retained earnings Retained Earnings (Accumulated Deficit) Product and Service [Axis] Product and Service [Axis] Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table Aggregate Change in Present Value of Accumulated Benefit for All Pension Plans Reported in Summary Compensation Table [Member] Awards Close in Time to MNPI Disclosures Awards Close in Time to MNPI Disclosures [Table] Common Stock Common Stock [Member] Other acquisition and integration-related expenses(2) Other Acquisition and Integration-Related Expense Other Acquisition and Integration-Related Expense Cash Flow, Noncash Operating Activities Disclosure [Abstract] Cash Flow, Noncash Operating Activities Disclosure [Abstract] Cash Flow, Noncash Operating Activities Disclosure [Abstract] Litigation and settlement-related expenses Litigation Settlement, Fee Expense Compensation Actually Paid vs. Company Selected Measure Compensation Actually Paid vs. Company Selected Measure [Text Block] Cover [Abstract] Reclassifications Reclassification, Comparability Adjustment [Policy Text Block] International Non-US [Member] Derivative Contract [Domain] Derivative Contract [Domain] Land and land improvements Land and Building [Member] Equity Awards Adjustments Equity Awards Adjustments [Member] Total liabilities and stockholders’ equity Liabilities and Equity Employee Stock Option Share-Based Payment Arrangement, Option [Member] Debt Instrument, Covenant, Period Four Debt Instrument, Covenant, Period Four [Member] Debt Instrument, Covenant, Period Four Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items] Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items] Segments [Axis] Segments [Axis] Additional 402(v) Disclosure Additional 402(v) Disclosure [Text Block] Organizational restructuring expenses(3) Restructuring Charges Inventory Disclosure [Abstract] Inventory Disclosure [Abstract] Tabular List, Table Tabular List [Table Text Block] Other (income) expense, net Other Nonoperating Income (Expense) Name Awards Close in Time to MNPI Disclosures, Individual Name Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested Year-end Fair Value of Equity Awards Granted in Covered Year that are Outstanding and Unvested [Member] Canceled (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeited in Period General and administrative General and Administrative Expense Property, Plant and Equipment, Type [Domain] Long-Lived Asset, Class [Domain] Preferred stock, shares authorized (in shares) Preferred Stock, Shares Authorized Property, Plant, and Equipment [Table] Property, Plant, and Equipment [Table] Preferred stock, $0.001 par value — $10,000 authorized and no shares issued or outstanding as of July 3, 2026 and January 2, 2026 Preferred Stock, Value, Issued Adjustment to Compensation: Adjustment to Compensation [Axis] Ford Ford [Member] Ford Number of derivative complaints Loss Contingency, Pending Claims, Number Rule 10b5-1 Arrangement Terminated Rule 10b5-1 Arrangement Terminated [Flag] Aggregate Erroneous Compensation Amount Aggregate Erroneous Compensation Amount Interest Interest Paid, Excluding Capitalized Interest, Operating Activity Statement of Cash Flows [Abstract] Statement of Cash Flows [Abstract] Performance period Share-Based Compensation Arrangement by Share-Based Payment Award, Terms of Award Credit Facility [Axis] Credit Facility [Axis] Aggregate Available Trading Arrangement, Securities Aggregate Available Amount Total assets measured at fair value Assets, Fair Value Disclosure Name Measure Name Income Taxes Income Tax Disclosure [Text Block] Accounts payable Accounts Payable, Current Pay vs Performance Disclosure [Line Items] Fair Value Hierarchy and NAV [Domain] Fair Value Hierarchy and NAV [Domain] Amortization of acquired inventory step-up Amortization Of Inventory, Fair Value Step-Up Amortization Of Inventory, Fair Value Step-Up Debt Instrument [Line Items] Debt Instrument [Line Items] Pay vs Performance Disclosure Pay vs Performance Disclosure [Table] Amortization of deferred gains on prior swap settlements Gain (Loss) on Sale of Derivatives Additional paid-in capital Additional Paid-in Capital [Member] Entity Filer Category Entity Filer Category Goodwill impairment Goodwill impairment Goodwill, Impairment Loss Name Trading Arrangement, Individual Name Unrecognized stock-based compensation expense related to RSUs Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount Phoenix, AZ AAG Operations Phoenix, AZ AAG Operations [Member] Phoenix, AZ AAG Operations Raw materials Inventory, Raw Materials, Net of Reserves Company Selected Measure Amount Company Selected Measure Amount Debt Instrument, Covenant, Period Three Debt Instrument, Covenant, Period Three [Member] Debt Instrument, Covenant, Period Three OEM OEM Sales Channel [Member] OEM Sales Channel [Member] Secured Overnight Financing Rate (SOFR) Secured Overnight Financing Rate (SOFR) [Member] Issuance of common stock under equity compensation plans, net of shares repurchased for income tax withholding (in shares) Shares Issued, Shares, Share-Based Payment Arrangement, after Forfeiture Amendment to the 2022 Credit Facility Amendment to the 2022 Credit Facility [Member] Amendment to the 2022 Credit Facility Net income (loss) Net Income (Loss), Including Portion Attributable to Noncontrolling Interest Net Income (Loss), Including Portion Attributable to Noncontrolling Interest Contract with Customer, Sales Channel [Domain] Contract with Customer, Sales Channel [Domain] Aftermarket Applications Group Aftermarket Applications Group [Member] Aftermarket Applications Group Current assets: Assets, Current [Abstract] Interest rate swaps Derivative Liability Prime Rate Prime Rate [Member] Non-PEO NEO Non-PEO NEO [Member] Interest Rate Floor Interest Rate Floor [Member] Entity Address, Address Line One Entity Address, Address Line One Right-of-use assets obtained in exchange for lease obligations Right-of-Use Asset Obtained in Exchange for Operating Lease Liability Vested (in usd per share) Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period, Weighted Average Grant Date Fair Value North America North America [Member] Income Tax Expense (Benefit) Provision (benefit) for income taxes Income Tax Expense (Benefit) Cost of sales Cost of Product and Service Sold Award Timing Method Award Timing Method [Text Block] Principles of Consolidation Consolidation, Policy [Policy Text Block] CHANGE IN CASH AND CASH EQUIVALENTS Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Including Exchange Rate Effect and Discontinued Operation Forgone Recovery, Explanation of Impracticability Forgone Recovery, Explanation of Impracticability [Text Block] Net income (loss) attributable to FOX stockholders Net loss Net income (loss) attributable to FOX stockholders Net Income (Loss) Attributable to Parent Long-Term Debt, Type [Axis] Long-Term Debt, Type [Axis] Erroneous Compensation Analysis Erroneous Compensation Analysis [Text Block] Unamortized debt issuance cost Unamortized Debt Issuance Expense Proceeds from sale of property and equipment Proceeds from Sale of Property, Plant, and Equipment Statement [Table] Statement [Table] Restatement Determination Date: Restatement Determination Date [Axis] Schedule of Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Table] Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Table] Derivative Instruments and Hedging Activities Disclosures [Line Items] Derivative Instruments and Hedging Activities Disclosures [Line Items] Fed Funds Effective Rate Overnight Index Swap Rate Fed Funds Effective Rate Overnight Index Swap Rate [Member] Schedule of Other Current Assets Schedule of Other Assets [Table Text Block] Pension Benefits Adjustments, Footnote Pension Benefits Adjustments, Footnote [Text Block] Derivative Instruments and Hedging Activities Disclosure [Abstract]