Acquisitions and Divestitures (Narrative) (Details) $ / shares in Units, $ in Millions				12 Months Ended
	Nov. 23, 2021 USD ($)	Oct. 04, 2021 USD ($) director $ / shares shares	Oct. 01, 2021 $ / shares	Dec. 31, 2022 USD ($) subsidiary $ / shares shares	Jan. 01, 2022 USD ($) $ / shares shares	Jan. 02, 2021 USD ($)	Oct. 26, 2022 $ / shares
Business Acquisition [Line Items]
Common stock, par value (in dollars per share) | $ / shares				$ 0.01	$ 0.01
Number of subsidiaries | subsidiary				2
Common stock, shares outstanding (in shares) | shares				66,200,000	67,600,000
Net of cash acquired				$ 35.0	$ 125.5	$ 0.0
Goodwill				4,018.8	4,039.2	1,518.2
Transaction Costs and Other One Time Non Recurring Costs
Business Acquisition [Line Items]
Revenues					64.4	64.4
Inventory Valuation Adjustment
Business Acquisition [Line Items]
Revenues					24.1	26.9
Altra Merger Agreement
Business Acquisition [Line Items]
Common stock, par value (in dollars per share) | $ / shares							$ 0.001
Share price (in dollars per share) | $ / shares							$ 62.00
Transaction related costs				14.7
Merger Agreement
Business Acquisition [Line Items]
Common stock, par value (in dollars per share) | $ / shares		$ 0.01
Share price (in dollars per share) | $ / shares		$ 151.00
Transaction related costs				4.3	64.4
Right to receive (in shares) | shares		0.22296103
Equity interest issued or issuable (in shares) | shares		27,055,945
Common stock, shares outstanding (in shares) | shares		67,756,732
Consideration transferred		$ 4,000.0
Cash payment				35.0
Acquisition and Valuation Adjustments				26.9
Goodwill				$ 2,460.1
Merger Agreement | Regal Rexnord Corporation
Business Acquisition [Line Items]
Ownership percentage		39.90%
Merger Agreement | Effect of Change
Business Acquisition [Line Items]
Goodwill					$ 26.9
Merger Agreement | Rexnord
Business Acquisition [Line Items]
Common stock, par value (in dollars per share) | $ / shares		$ 0.01
Dividends, per share (in dollars per share) | $ / shares			$ 6.99
Number of directors appointed | director		2
Merger Agreement | Customer Relationships
Business Acquisition [Line Items]
Weighted average useful life				17 years
Merger Agreement | Trademarks
Business Acquisition [Line Items]
Weighted average useful life				10 years
Merger Agreement | Technology
Business Acquisition [Line Items]
Weighted average useful life				12 years
Arrowhead Systems, LLC
Business Acquisition [Line Items]
Net of cash acquired	$ 315.6
Cash acquired	$ 1.1
Goodwill				$ 143.9
Arrowhead Systems, LLC | Effect of Change
Business Acquisition [Line Items]
Goodwill				$ 0.3		$ 0.3