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Consolidated Statements of Cash Flows - USD ($)
$ in Millions
 12 Months Ended
Jan. 02, 2026
Jan. 03, 2025
Dec. 29, 2023
Cash flows from operating activities:      
Net income (loss) $ 403 $ 381 $ (261)
Net (income) loss from discontinued operations, net of tax 55 (2) 1
Net income (loss) from continuing operations 458 379 (260)
Adjustments to reconcile net income (loss) to net cash provided by operating activities:      
Charges associated with Convertible Notes 0 0 494
Depreciation and amortization 169 156 141
Equity in earnings of unconsolidated affiliates (210) (107) (114)
Deferred income tax 60 1 14
Other (1) (11) 12
Changes in operating assets and liabilities, net of acquired businesses:      
Accounts receivable, net of allowance for credit losses (2) 5 (32)
Contract assets (3) (93) 38
Accounts payable (70) 147 (53)
Contract liabilities (16) (29) 76
Accrued salaries, wages and benefits (2) (7) 21
Payments on operating lease liabilities (81) (71) (65)
Payments from unconsolidated affiliates, net 9 9 18
Distributions of earnings from unconsolidated affiliates 170 163 74
Pension funding (3) (62) (9)
Other assets and liabilities 79 (30) (54)
Total cash flows provided by operating activities - continuing operations 557 450 301
Cash flows from investing activities:      
Purchases of property, plant and equipment (42) (52) (62)
Proceeds from sale of assets or investments 3 7 0
Return of equity method investments, net 82 36 60
Acquisitions of businesses, net of cash acquired (14) (738) 0
Funding in other investment (10) (5) (39)
Other (3) 1 (11)
Total cash flows provided by (used in) investing activities - continuing operations 16 (751) (52)
Cash flows from financing activities:      
Borrowings on short-term and long-term debt 0 574 0
Borrowings on Revolver 555 393 785
Payments on short-term and long-term debt (36) (124) (17)
Payments on Revolver (505) (98) (340)
Payments to repurchase common stock (329) (218) (138)
Payments on settlement of warrants 0 (33) (217)
Debt issuance costs 0 (18) 0
Proceeds from the settlement of note hedge 0 0 493
Payments to settle Convertible Notes 0 0 (843)
Acquisition of noncontrolling interest 0 (10) 0
Payments of dividends to shareholders (84) (79) (72)
Other (4) (13) (10)
Total cash flows provided by (used in) financing activities - continuing operations (403) 374 (359)
Total operating cash flows from discontinued operations (33) 12 30
Total investing cash flows from discontinued operations (12) (25) (18)
Total financing cash flows from discontinued operations 12 0 0
Total cash flows from discontinued operations (33) (13) 12
Effect of exchange rate changes on cash 18 (14) 13
Increase (decrease) in cash and cash equivalents 155 46 (85)
Cash and cash equivalents at beginning of period 350 304 389
Cash and cash equivalents at end of period 505 350 304
Less: cash and cash equivalents of discontinued operations 5 8 21
Cash and cash equivalents at end of period for continuing operations 500 342 283
Supplemental disclosure of cash flows information:      
Cash paid for interest 141 124 102
Cash paid for income taxes (net of refunds) 83 82 52
Noncash financing activities      
Dividends declared $ 21 $ 20 $ 18