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Goodwill and Intangible Assets (Tables)
 12 Months Ended
Jan. 01, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Changes in the Carrying Value of Goodwill
Goodwill (in millions):
Digital Imaging InstrumentationAerospace and Defense ElectronicsEngineered SystemsTotal
Balance at January 3, 2021$997.8 $968.8 $165.8 $17.6 $2,150.0 
Current year acquisitions5,905.5 — — — 5,905.5 
Foreign currency changes and other(35.8)(32.9)(0.1)— (68.8)
Balance at January 3, 20226,867.5 935.9 165.7 17.6 7,986.7 
Current year acquisitions78.5 — — — 78.5 
Foreign currency changes and other(165.6)(22.7)(3.9)— (192.2)
Balance at January 1, 2023$6,780.4 $913.2 $161.8 $17.6 $7,873.0 
Schedule of Carrying Value of Other Acquired Intangible Assets In the fourth quarter of 2022, the Company performed a quantitative test for the FLIR reporting unit and qualitative tests for all other reporting units. The results of our annual impairment tests of goodwill indicated that no impairment existed in 2022, 2021 or 2020.
 2022 2021
  Gross carrying amountAccumulated amortizationNet carrying amountGross carrying amountAccumulated amortizationNet carrying amount
Acquired intangible assets (in millions):         
Proprietary technology$1,667.7 $497.4 $1,170.3 $1,767.7 $358.2 $1,409.5 
Customer list/relationships596.1 177.0 419.1 616.2 141.8 474.4 
Patents0.6 0.6 — 0.6 0.6 — 
Non-compete agreements0.9 0.9 — 0.9 0.9 — 
Definite-lived trademarks7.1 4.4 2.7 4.5 3.9 0.6 
Backlog16.1 15.8 0.3 16.3 16.3 — 
Acquired intangible assets subject to amortization2,288.5 696.1 1,592.4 2,406.2 521.7 1,884.5 
Acquired intangible assets not subject to amortization:
Indefinite-lived trademarks848.2 — 848.2 857.1 — 857.1 
Total acquired intangible assets$3,136.7 $696.1 $2,440.6 $3,263.3 $521.7 $2,741.6 
Schedule of Estimated Remaining Useful Lives by Asset Category The estimated remaining useful lives by asset category as of January 1, 2023, are as follows:
Acquired intangibles subject to amortization  Weighted average remaining useful life in years
Proprietary technology  7.5
Customer list/relationships  10.7
Patents  1.3
Backlog  0.7
Trademarks  4.0
Total acquired intangibles subject to amortization  8.2