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CONSOLIDATED STATEMENTS OF CASH FLOWS - USD ($)
$ in Millions
 12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Operating Activities      
Net income (loss) including noncontrolling interest $ 788.9 $ 445.3 $ 401.9
Adjustments to reconcile net income (loss) including noncontrolling interest to net cash provided by (used in) operating activities:      
Depreciation and amortization 332.2 371.8 116.2
Stock-based compensation 31.5 33.9 30.0
Bridge financing and debt extinguishment (income) expense (10.6) 30.5 0.0
Changes in operating assets and liabilities, net of businesses acquired:      
Accounts receivable and unbilled receivables (87.9) (158.9) 47.8
Inventories (155.2) 7.0 54.3
Prepaid expenses and other assets (50.4) 11.8 (10.2)
Accounts payable 45.9 99.1 (46.3)
Accrued expenses and other liabilities (344.2) (5.7) 53.7
Deferred and income taxes payable, net (35.2) (21.4) (28.8)
Other, net (28.2) 11.2 0.3
Net cash provided by (used in) operating activities 486.8 824.6 618.9
Investing Activities      
Purchases of property, plant and equipment (92.6) (101.6) (71.4)
Purchase of businesses and other investments, net of cash acquired (99.6) (3,723.3) (29.0)
Other, net 16.8 0.6 1.0
Net cash provided by (used in) investing activities (175.4) (3,824.3) (99.4)
Financing Activities      
Proceeds from issuance of term loans and senior notes, net 0.0 3,975.9 2.7
Payments on other debt (174.8) (1,141.7) (100.8)
Liquidations of cross currency swap 43.1 0.0 0.0
Proceeds from stock options exercised 23.6 25.4 36.3
Payments for bridge financing and debt extinguishment 0.0 (30.5) 0.0
Other, net (1.9) (22.0) 0.0
Net cash provided by (used in) financing activities (110.0) 2,807.1 (61.8)
Effect of exchange rate changes on cash and cash equivalents (38.0) (5.8) 15.9
Change in cash and cash equivalents 163.4 (198.4) 473.6
Cash and cash equivalents—beginning of period 474.7 673.1 199.5
Cash and cash equivalents—end of period $ 638.1 $ 474.7 $ 673.1