CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS - USD ($) $ in Millions	3 Months Ended		6 Months Ended		12 Months Ended
	Jul. 02, 2023	Jul. 03, 2022	Jul. 02, 2023	Jul. 03, 2022	Jan. 01, 2023
Operating Activities
Net income (loss) including noncontrolling interest	$ 185.5	$ 171.3	$ 364.3	$ 383.9
Adjustments to reconcile net income (loss) including noncontrolling interest to net cash provided by (used in) operating activities:
Depreciation and amortization			162.1	169.6
Stock-based compensation			16.3	15.4
Debt extinguishment (income) expense			(1.6)	(10.6)
Changes in operating assets and liabilities excluding the effect of business acquired:
Accounts receivable and unbilled receivables			9.9	(67.5)
Inventories			(75.3)	(103.9)
Accounts payable			(49.7)	32.8
Deferred and income taxes receivable/payable, net			8.5	(60.2)
Prepaid expenses and other assets			(16.3)	16.2
Accrued expenses and other liabilities			(18.6)	(405.1)
Other operating, net			(6.1)	9.6
Net cash provided by (used in) operating activities			393.5	(19.8)
Investing Activities
Purchases of property, plant and equipment			(51.7)	(41.8)
Purchase of business, net of cash acquired			(53.5)	0.0
Proceeds from disposal of fixed assets			0.0	5.1
Other investing, net			0.7	1.3
Net cash provided by (used in) investing activities			(104.5)	(35.4)
Financing Activities
Payments on fixed rate senior notes			(308.4)	(64.4)
Net borrowings from (repayments made to) credit facility			(125.0)	0.0
Payments on other debt			(135.3)	(80.1)
Proceeds from exercise of stock options			15.0	17.5
Maturity of cross currency swap			(13.5)	0.0
Liquidation of cross currency swap			0.0	18.3
Other financing, net			(0.6)	(1.9)
Net cash provided by (used in) financing activities			(567.8)	(110.6)
Effect of exchange rate changes on cash			4.9	(30.1)
Change in cash and cash equivalents			(273.9)	(195.9)
Cash and cash equivalents—beginning of period			638.1	474.7	$ 474.7
Cash and cash equivalents—end of period	$ 364.2	$ 278.8	$ 364.2	$ 278.8	$ 638.1