Retirement and Post Retirement Health Care Plans (Narrative) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019	Dec. 31, 2031
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Net actuarial gains (losses)	$ 11.4	$ (24.1)
Discount rates and census experience increase (decrease)	(10.2)	2.9
Accumulated benefit obligation	$ 580.9	$ 292.8
Defined benefit plan compensation increase assumption	3.00%	3.00%
Defined benefit plan, liability	$ 111.7	$ 69.5
Pension Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Employer Contributions	5.7	8.5
Plan benefit obligations included in acquisition	305.9	0.0
Plan assets included in acquisition	232.2	0.0
Funded status of plan	(108.3)	(68.2)
Expected contribution to defined benefit pension plans	6.7
Pension Plan | Rexnord Transactions
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Plan benefit obligations included in acquisition	305.9
Plan assets included in acquisition	232.2
Postretirement Health Coverage
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Employer Contributions	0.3	0.3
Plan benefit obligations included in acquisition	2.7	0.0
Expected contribution to defined benefit pension plans	0.9
Postretirement Health Coverage | Rexnord Transactions
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Plan benefit obligations included in acquisition	2.7
Postretirement Health Coverage | Forecast
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Health care cost trend rate, 2031				4.50%
United States
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Employer Contributions	9.8	7.6	$ 8.9
United States | Pension Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Funded status of plan	(61.6)	(62.6)
International Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Employer Contributions	5.7	5.5	$ 10.6
International Plan | Pension Plan
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Funded status of plan	$ (46.7)	$ (5.6)
Pre-65 | Postretirement Health Coverage
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Health care cost trend rate, next fiscal year	5.70%	5.80%	6.80%
Post-65 | Postretirement Health Coverage
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Health care cost trend rate, next fiscal year	5.70%	5.60%	5.10%