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ACQUISITIONS AND INVESTMENTS - Additional Information (Detail) $ in Millions |  |  |  |  |  | 1 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | --- | --- | --- | ---
Dec. 01, 2021 USD ($) | Nov. 12, 2021 USD ($) | Jan. 02, 2021 USD ($) | Feb. 24, 2020 USD ($) | Mar. 08, 2019 USD ($) | Dec. 31, 2020 USD ($) | Jan. 31, 2019 USD ($) | Jan. 01, 2022 USD ($) | Jan. 02, 2021 USD ($) | Dec. 28, 2019 USD ($) business | Aug. 16, 2021 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Gain on equity method investment |  |  |  |  |  |  |  | $ 68.0 | $ 0.0 | $ 0.0 |
Business acquisition, net of cash acquired |  |  |  |  |  |  |  | 2,043.8 | 1,324.4 | 685.4 |
Goodwill acquired |  |  | $ 8,086.5 |  |  |  |  | 8,784.2 | $ 8,086.5 | $ 7,380.6 |
MTD |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percent of ownership interest acquired |  |  |  |  |  |  | 20.00% |  |  |  |
Payment to acquire equity method investment |  |  |  |  |  |  | $ 234.0 |  |  |  |
MTD |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired | 80.00% |  |  |  |  |  |  |  |  |  |
Total consideration | $ 1,904.7 |  |  |  |  |  |  |  |  |  |
Equity Method, Fair Value, Remeasurement | $ 295.1 |  |  |  |  |  |  |  |  |  |
Gain on equity method investment |  |  |  |  |  |  |  | 68.0 |  |  |
Weighted average useful life assigned | 15 years |  |  |  |  |  |  |  |  |  |
Expected tax deductible amount of acquired goodwill |  |  |  |  |  |  |  |  |  |  | $ 0.6
Estimated purchase price | $ 1,500.0 |  |  |  |  |  |  |  |  |  |
Identifiable net assets acquired | 1,468.0 |  |  |  |  |  |  |  |  |  |
Goodwill acquired | 436.7 |  |  |  |  |  |  |  |  |  |
Deferred taxes | 194.3 |  |  |  |  |  |  |  |  |  |
MTD | Customer relationships |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Intangible assets | $ 450.0 |  |  |  |  |  |  |  |  |  |
Excel Industries |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total consideration |  | $ 373.6 |  |  |  |  |  |  |  |  |
Expected tax deductible amount of acquired goodwill |  | 0.6 |  |  |  |  |  |  |  |  |
Identifiable net assets acquired |  | 200.3 |  |  |  |  |  |  |  |  |
Finite-lived intangible assets acquired |  | 203.5 |  |  |  |  |  |  |  |  |
Goodwill acquired |  | 173.3 |  |  |  |  |  |  |  |  |
Working capital acquired |  | 37.0 |  |  |  |  |  |  |  |  |
Deferred taxes |  | 48.7 |  |  |  |  |  |  |  |  |
Excel Industries | Customer relationships |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Finite-lived intangible assets acquired |  | $ 158.0 |  |  |  |  |  |  |  |  |
2021 Aquisitions |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Expected tax deductible amount of acquired goodwill |  |  |  |  |  |  |  | 44.5 |  |  |
Estimated purchase price |  |  |  |  |  |  |  | 207.3 |  |  |
Identifiable net assets acquired |  |  |  |  |  |  |  | 49.5 |  |  |
Goodwill acquired |  |  |  |  |  |  |  | 157.8 |  |  |
Working capital acquired |  |  |  |  |  |  |  | $ 36.4 |  |  |
Consolidated Aerospace Manufacturing (CAM) |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total consideration |  |  |  | $ 1,336.5 |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  | 20 years |  |  |  |  |  |  |
Expected tax deductible amount of acquired goodwill |  |  |  | $ 569.8 |  |  |  |  |  |  |
Estimated purchase price |  |  |  | 1,460.0 |  |  |  |  |  |  |
Business acquisition, net of cash acquired |  |  |  | 1,300.0 |  |  |  |  |  |  |
Possible future contingent consideration payable (up to) |  |  |  | 200.0 |  |  |  |  |  |  |
Fair value of contingent consideration as of acquisition date |  |  |  | 155.3 |  |  |  |  |  |  |
Consideration paid |  |  |  |  |  | $ 100.0 |  |  |  |  |
Remaining fair value of contingent consideration |  |  | $ 55.3 |  |  |  |  |  |  |  |
Identifiable net assets acquired |  |  |  | 859.5 |  |  |  |  |  |  |
Goodwill acquired |  |  |  | 632.3 |  |  |  |  |  |  |
Deferred taxes |  |  |  | 16.3 |  |  |  |  |  |  |
Consolidated Aerospace Manufacturing (CAM) | Customer relationships |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  |  | $ 565.0 |  |  |  |  |  |  |
Equipment Solution Attachments Group (IES) |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  | 14 years |  |  |  |  |  |
Expected tax deductible amount of acquired goodwill |  |  |  |  | $ 2.4 |  |  |  |  |  |
Business acquisition, net of cash acquired |  |  |  |  | 653.5 |  |  |  |  |  |
Identifiable net assets acquired |  |  |  |  | 342.2 |  |  |  |  |  |
Finite-lived intangible assets acquired |  |  |  |  | 304.0 |  |  |  |  |  |
Goodwill acquired |  |  |  |  | 311.3 |  |  |  |  |  |
Working capital acquired |  |  |  |  | 77.8 |  |  |  |  |  |
Deferred taxes |  |  |  |  | 78.3 |  |  |  |  |  |
Intangible assets |  |  |  |  | $ 328.0 |  |  |  |  |  |
2019 Acquisitions |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  | 10 years |
Business acquisition, net of cash acquired |  |  |  |  |  |  |  |  |  | $ 32.4 |
Number of businesses acquired during the period | business |  |  |  |  |  |  |  |  |  | 2 |
Identifiable net assets acquired |  |  |  |  |  |  |  |  |  | $ 15.7 |
Finite-lived intangible assets acquired |  |  |  |  |  |  |  |  |  | 4.4 |
Goodwill acquired |  |  |  |  |  |  |  |  |  | 16.7 |
Working capital acquired |  |  |  |  |  |  |  |  |  | $ 6.3 |

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