Revenue Recognition and Contract Balances - Disaggregation of Revenue (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Disaggregation of Revenue [Line Items]
Net sales	$ 5,635.5	$ 5,458.6	$ 4,614.3
United States
Disaggregation of Revenue [Line Items]
Net sales	2,895.4	2,872.6	2,466.4
Europe
Disaggregation of Revenue [Line Items]
Net sales	1,332.7	1,157.3	958.5
Asia
Disaggregation of Revenue [Line Items]
Net sales	946.8	971.5	807.9
All other
Disaggregation of Revenue [Line Items]
Net sales	460.6	457.2	381.5
United States Government
Disaggregation of Revenue [Line Items]
Net sales	1,381.7	1,359.9	1,193.1
Other
Disaggregation of Revenue [Line Items]
Net sales	4,253.8	4,098.7	3,421.2
Digital Imaging
Disaggregation of Revenue [Line Items]
Net sales	3,144.1	3,110.9	2,412.9
Digital Imaging | United States
Disaggregation of Revenue [Line Items]
Net sales	1,406.9	1,416.6	1,082.6
Digital Imaging | Europe
Disaggregation of Revenue [Line Items]
Net sales	808.7	749.7	567.8
Digital Imaging | Asia
Disaggregation of Revenue [Line Items]
Net sales	622.9	637.8	510.3
Digital Imaging | All other
Disaggregation of Revenue [Line Items]
Net sales	305.6	306.8	252.2
Digital Imaging | United States Government
Disaggregation of Revenue [Line Items]
Net sales	570.7	619.1	515.9
Digital Imaging | Other
Disaggregation of Revenue [Line Items]
Net sales	2,573.4	2,491.8	1,897.0
Instrumentation
Disaggregation of Revenue [Line Items]
Net sales	1,326.2	1,254.0	1,166.9
Instrumentation | United States
Disaggregation of Revenue [Line Items]
Net sales	566.2	554.5	512.6
Instrumentation | Europe
Disaggregation of Revenue [Line Items]
Net sales	386.8	311.5	298.5
Instrumentation | Asia
Disaggregation of Revenue [Line Items]
Net sales	253.0	267.1	247.5
Instrumentation | All other
Disaggregation of Revenue [Line Items]
Net sales	120.2	120.9	108.3
Instrumentation | United States Government
Disaggregation of Revenue [Line Items]
Net sales	95.9	108.1	91.6
Instrumentation | Other
Disaggregation of Revenue [Line Items]
Net sales	1,230.3	1,145.9	1,075.3
Aerospace and Defense Electronics
Disaggregation of Revenue [Line Items]
Net sales	726.5	682.4	628.7
Aerospace and Defense Electronics | United States
Disaggregation of Revenue [Line Items]
Net sales	492.0	494.6	469.0
Aerospace and Defense Electronics | Europe
Disaggregation of Revenue [Line Items]
Net sales	137.2	96.1	92.1
Aerospace and Defense Electronics | Asia
Disaggregation of Revenue [Line Items]
Net sales	67.1	65.3	48.6
Aerospace and Defense Electronics | All other
Disaggregation of Revenue [Line Items]
Net sales	30.2	26.4	19.0
Aerospace and Defense Electronics | United States Government
Disaggregation of Revenue [Line Items]
Net sales	330.3	266.3	227.2
Aerospace and Defense Electronics | Other
Disaggregation of Revenue [Line Items]
Net sales	396.2	416.1	401.5
Engineered Systems
Disaggregation of Revenue [Line Items]
Net sales	438.7	411.3	405.8
Engineered Systems | United States
Disaggregation of Revenue [Line Items]
Net sales	430.3	406.9	402.2
Engineered Systems | Europe
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.1
Engineered Systems | Asia
Disaggregation of Revenue [Line Items]
Net sales	3.8	1.3	1.5
Engineered Systems | All other
Disaggregation of Revenue [Line Items]
Net sales	4.6	3.1	2.0
Engineered Systems | United States Government
Disaggregation of Revenue [Line Items]
Net sales	384.8	366.4	358.4
Engineered Systems | Other
Disaggregation of Revenue [Line Items]
Net sales	$ 53.9	$ 44.9	$ 47.4