Consolidated Statements of Cash Flows - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Cash flows from operating activities
Net income	$ 331.3	$ 90.0	$ 694.1
Adjustments to reconcile net income to net cash provided by operating activities:
Depreciation and amortization	222.6	218.6	222.2
Foreign exchange and other non-cash financing expenses	33.2	18.9	10.6
Share-based compensation expense	24.6	19.8	15.0
Decrease in post-employment benefit obligations, net	(14.7)	(12.4)	(9.4)
Deferred income taxes	(94.3)	(47.7)	(648.4)
Asset impairments	2.0	6.6	1.9
Other operating activities	3.7	9.1	4.1
Changes in operating assets and liabilities:
—(Increase) decrease in accounts receivable	(22.3)	9.7	41.8
—(Increase) decrease in inventories	(192.4)	(22.1)	65.1
—Increase (decrease) in accounts payable	99.6	28.6	(48.2)
—(Increase) decrease in prepaid expenses and other assets	(41.3)	6.8	(2.6)
—Increase (decrease) in taxes payable	38.7	(48.1)	46.2
—(Decrease) increase in other liabilities	(8.3)	31.2	(43.5)
Net cash provided by operating activities	382.4	309.0	348.9
Cash flows from investing activities
Purchases of property, plant and equipment	(77.7)	(58.2)	(72.1)
Purchases of intangible assets	(9.3)	(9.2)	(11.0)
Cash paid under corporate-owned life insurance policies	(11.2)	(10.9)	(10.7)
Cash received under corporate-owned life insurance policies	2.4	1.5	12.0
Other investing activities	9.8	(0.7)	3.8
Net cash used in investing activities	(86.0)	(77.5)	(78.0)
Cash flows from financing activities
Issuance of shares	4.6	3.1	1.8
Repurchase of shares	(10.6)	0.0	0.0
Proceeds from long-term debt	0.0	0.0	568.0
Payments of long-term debt	(91.0)	(331.2)	(593.1)
Debt issuance costs paid	(11.7)	(0.3)	(8.3)
Dividends paid to non-controlling interests	(26.6)	(19.0)	(28.8)
Other financing activities	(13.3)	(6.4)	1.1
Net cash used in financing activities	(148.6)	(353.8)	(59.3)
Effect of exchange rate changes on cash and cash equivalents and restricted cash	(11.0)	9.8	0.4
Net increase (decrease) in cash and cash equivalents	136.8	(112.5)	212.0
Cash and cash equivalents and restricted cash at the beginning of the period	524.1	636.6	424.6
Cash and cash equivalents and restricted cash at the end of the period	660.9	524.1	636.6
Supplemental schedule of cash flow information
Interest paid	121.2	135.7	150.8
Income taxes paid	83.0	60.4	108.8
Accrued capital expenditures	$ 1.0	$ 1.0	$ 1.8