Held For Sale, Divestitures and Acquisitions (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions						3 Months Ended		12 Months Ended
	Nov. 23, 2021	Oct. 04, 2021	Oct. 01, 2021	Jul. 01, 2019	Apr. 01, 2019	Mar. 28, 2020	Mar. 30, 2019	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019	Oct. 03, 2021
Business Acquisition [Line Items]
Assets held for sale								$ 12.5	$ 9.1
Proceeds from divestiture of businesses								0.0	0.3	$ 157.9
Gain (loss) on disposition of business								$ 0.0	$ 0.1	44.7
Common stock, par value (in dollars per share)								$ 0.01	$ 0.01
Common stock, shares outstanding (in shares)								67,600,000	40,600,000
Long-term debt								$ 1,922.2
Net of cash acquired								$ 125.5	$ 0.0	$ 0.0
Credit Agreement
Business Acquisition [Line Items]
Long-term debt											$ 620.0
A&R Land Credit Agreement | Credit Agreement
Business Acquisition [Line Items]
Maximum borrowing capacity											487.0
Long-term debt											$ 486.0
Customer Relationships
Business Acquisition [Line Items]
Weighted average amortization period (years)								16 years
Trademarks
Business Acquisition [Line Items]
Weighted average amortization period (years)								10 years
Technology
Business Acquisition [Line Items]
Weighted average amortization period (years)								13 years
Merger Agreement
Business Acquisition [Line Items]
Common stock, par value (in dollars per share)		$ 0.01
Right to receive (in shares)		0.22296103
Equity interest issued or issuable (in shares)		27,055,945
Ownership percentage		39.90%
Common stock, shares outstanding (in shares)		67,756,732
Consideration transferred		$ 4,000.0
Transaction costs								$ 64.4
Net sales								340.4
Net income								2.3
Merger Agreement | Acquisition-related Costs
Business Acquisition [Line Items]
Revenues								64.4	64.4
Merger Agreement | Fair Value Adjustment to Inventory
Business Acquisition [Line Items]
Revenues								26.9	$ 24.1
Merger Agreement | Rexnord
Business Acquisition [Line Items]
Common stock, par value (in dollars per share)		$ 0.01
Dividends, per share (in dollars per share)			$ 6.99
Merger Agreement | Customer Relationships
Business Acquisition [Line Items]
Weighted average amortization period (years)		17 years
Merger Agreement | Trademarks
Business Acquisition [Line Items]
Weighted average amortization period (years)		10 years
Merger Agreement | Technology
Business Acquisition [Line Items]
Weighted average amortization period (years)		12 years
Arrowhead Systems, LLC
Business Acquisition [Line Items]
Transaction costs								$ 6.9
Net of cash acquired	$ 315.6
Cash acquired	$ 1.1
Arrowhead Systems, LLC | Customer Relationships
Business Acquisition [Line Items]
Weighted average amortization period (years)	15 years
Arrowhead Systems, LLC | Trademarks
Business Acquisition [Line Items]
Weighted average amortization period (years)	10 years
Arrowhead Systems, LLC | Technology
Business Acquisition [Line Items]
Weighted average amortization period (years)	12 years
Regal Drive Technologies | Disposal Group, Disposed of by Sale, Not Discontinued Operations
Business Acquisition [Line Items]
Proceeds from divestiture of businesses						$ 0.3	$ 119.9
Gain (loss) on disposition of business						$ 0.1	$ 41.0
Velvet Drive | Disposal Group, Disposed of by Sale, Not Discontinued Operations
Business Acquisition [Line Items]
Proceeds from divestiture of businesses					$ 8.9
Gain (loss) on disposition of business					(0.5)
CapCom | Disposal Group, Disposed of by Sale, Not Discontinued Operations
Business Acquisition [Line Items]
Proceeds from divestiture of businesses					9.9
Gain (loss) on disposition of business					$ 6.0
Vapor Recovery | Disposal Group, Disposed of by Sale, Not Discontinued Operations
Business Acquisition [Line Items]
Proceeds from divestiture of businesses				$ 19.2
Gain (loss) on disposition of business				$ (1.9)