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Condensed Consolidated Statements of Cash Flows - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended 12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Oct. 03, 2025
Sep. 27, 2024
Jan. 03, 2025
Cash flows from operating activities:          
Net income $ 117 $ 102 $ 290 $ 303  
Less: Net (income) loss from discontinued operations, net of tax 1 0 55 (1)  
Net income from continuing operations 118 102 345 302  
Adjustments to reconcile net income to net cash provided by operating activities:          
Depreciation and amortization 43 41 129 112  
Equity in earnings of unconsolidated affiliates (70) (27) (163) (97)  
Deferred income tax     50 23  
Gain on disposition of assets     (2) (6)  
Other     0 (4)  
Changes in operating assets and liabilities:          
Accounts receivable, net of allowance for credit losses     (40) (3)  
Contract assets     29 (30)  
Accounts payable     (52) 94  
Contract liabilities     (1) 9  
Accrued salaries, wages and benefits     41 31  
Payments on operating lease obligation     (62) (52)  
Payments from unconsolidated affiliates, net     10 5  
Distributions of earnings from unconsolidated affiliates     163 123  
Pension funding     (2) (30)  
Other assets and liabilities     61 (68)  
Total cash flows provided by operating activities - continuing operations     506 409  
Cash flows from investing activities:          
Purchases of property, plant and equipment     (24) (36)  
Proceeds from sale of assets or investments     2 6  
Return of equity method investments, net     82 36  
Acquisition of business, net of cash acquired     (13) (739)  
Funding in other investment     0 (5)  
Other     0 5  
Total cash flows provided by (used in) investing activities - continuing operations     47 (733)  
Cash flows from financing activities:          
Borrowings on long-term debt     0 574  
Borrowings on Revolver     555 343  
Payments on short-term and long-term debt     (27) (81)  
Payments on Revolver     (505) (63)  
Payments to repurchase common stock     (304) (167)  
Payments on settlement of warrants     0 (33)  
Debt Issuance Costs     0 (18)  
Acquisition of noncontrolling interest     0 (10)  
Payments of dividends to shareholders     (63) (59)  
Other     (6) (11)  
Total cash flows provided by (used in) financing activities - continuing operations     (350) 475  
Total operating cash flows from discontinued operations     (31) 13  
Total investing cash flows from discontinued operations     (12) (18)  
Total financing cash flows from discontinued operations     10 0  
Total cash flows from discontinued operations     (33) (5)  
Effect of exchange rate changes on cash     19 12  
Increase in cash and cash equivalents     189 158  
Cash and cash equivalents at beginning of period     350 304 $ 304
Cash and cash equivalents at end of period 539 462 539 462 $ 350
Less: cash and cash equivalents of discontinued operations 0 16 0 16  
Cash and cash equivalents at end of period for continuing operations 539 446 539 446  
Noncash financing activities          
Dividends declared $ 21 $ 20 $ 21 $ 20