CONSOLIDATED STATEMENTS OF CASH FLOWS - USD ($)	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
CASH FLOWS FROM OPERATING ACTIVITIES:
Net Income	$ 494,900,000	$ 235,800,000	$ 192,200,000
Adjustments to Reconcile Net Income to Net Cash Provided by Operating Activities (Net of Acquisitions and Divestitures):
Depreciation	121,900,000	93,200,000	84,100,000
Amortization	185,500,000	77,400,000	47,300,000
Goodwill Impairment	0	33,000,000.0	10,500,000
Asset Impairments	900,000	5,600,000	5,300,000
Noncash Lease Expense	31,900,000	26,100,000	24,500,000
Share-Based Compensation Expense	22,500,000	24,900,000	9,200,000
Financing Fee Amortization	19,600,000	19,200,000	1,500,000
Early Debt Extinguishment Charge	0	12,700,000	0
Benefit from Deferred Income Taxes	(80,100,000)	(8,700,000)	(17,000,000.0)
Loss on Disposition of Assets	2,700,000	200,000	2,900,000
Other Non-Cash Changes	0	800,000	5,800,000
Change in Operating Assets and Liabilities, Net of Acquisitions and Divestitures
Receivables	(38,100,000)	(154,500,000)	29,600,000
Inventories	(174,400,000)	(174,400,000)	(1,600,000)
Accounts Payable	(129,500,000)	156,600,000	15,200,000
Current Liabilities and Other	(21,600,000)	9,800,000	25,900,000
Net Cash Provided by Operating Activities	436,200,000	357,700,000	435,400,000
CASH FLOWS FROM INVESTING ACTIVITIES:
Additions to Property, Plant and Equipment	(83,800,000)	(54,500,000)	(47,500,000)
Business Acquisitions, Net of Cash Acquired	(35,000,000.0)	(125,500,000)	0
Proceeds from Sale of Property, Plant and Equipment	5,500,000	4,300,000	10,500,000
Net Cash Used in Investing Activities	(113,300,000)	(175,700,000)	(37,000,000.0)
CASH FLOWS FROM FINANCING ACTIVITIES:
Borrowings Under Revolving Credit Facility	2,119,600,000	1,475,700,000	1,088,500,000
Repayments Under Revolving Credit Facility	(2,427,300,000)	(739,000,000.0)	(1,106,200,000)
Proceeds from Short-Term Borrowings	10,200,000	17,200,000	2,600,000
Repayments of Short-Term Borrowings	(9,100,000)	(15,700,000)	(2,300,000)
Proceeds from Long-Term Borrowings	1,536,800,000	0	100,000
Repayments of Long-Term Borrowings	(1,123,700,000)	(451,100,000)	(50,400,000)
Dividends Paid to Shareholders	(90,900,000)	(335,600,000)	(48,700,000)
Proceeds from the Exercise of Stock Options	5,100,000	2,600,000	200,000
Shares Surrendered for Taxes	(8,900,000)	(8,900,000)	(3,600,000)
Early Debt Extinguishment Payments	0	(12,700,000)	0
Financing Fees Paid	(40,600,000)	(19,800,000)	0
Repurchase of Common Stock	(239,200,000)	(25,800,000)	(25,000,000.0)
Distributions to Noncontrolling Interests	(6,200,000)	(4,500,000)	(2,800,000)
Net Cash Used in Financing Activities	(274,200,000)	(117,600,000)	(147,600,000)
EFFECT OF EXCHANGE RATES ON CASH and CASH EQUIVALENTS	(33,000,000.0)	(2,900,000)	29,100,000
Net Increase in Cash and Cash Equivalents	15,700,000	61,500,000	279,900,000
Cash and Cash Equivalents at Beginning of Period	672,800,000	611,300,000	331,400,000
Cash and Cash Equivalents at End of Period	688,500,000	672,800,000	611,300,000
Cash Paid During the Year for:
Interest	66,700,000	35,200,000	38,600,000
Income Taxes	187,600,000	103,100,000	44,300,000
Non-Cash Investing: Issuance of Common Stock and Replacement Equity-Based Awards in Connection with Rexnord Transaction	$ 0	$ 3,943,400,000	$ 0