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ACQUISITIONS AND INVESTMENTS - Additional Information (Detail) $ in Millions |  |  |  |  | 3 Months Ended | 12 Months Ended
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Feb. 24, 2020 USD ($) | Mar. 08, 2019 USD ($) | Jan. 02, 2019 USD ($) | Apr. 02, 2018 USD ($) | Jan. 02, 2021 USD ($) | Sep. 26, 2020 USD ($) | Jun. 27, 2020 USD ($) | Mar. 28, 2020 USD ($) | Dec. 28, 2019 USD ($) | Sep. 28, 2019 USD ($) | Jun. 29, 2019 USD ($) | Mar. 30, 2019 USD ($) | Jan. 02, 2021 USD ($) Acquisition | Dec. 28, 2019 USD ($) business | Dec. 29, 2018 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, net of cash acquired |  |  |  |  |  |  |  |  |  |  |  |  | $ 1,324.4 | [1] | $ 685.4 |  | $ 524.6 |
Number of businesses acquired during the period | Acquisition |  |  |  |  |  |  |  |  |  |  |  |  | 1 |  |  |  |  |
Goodwill acquired |  |  |  |  | $ 10,038.1 |  |  |  | $ 9,237.5 |  |  |  | $ 10,038.1 |  | 9,237.5 |  | 8,956.7 |
Annual revenues of equity method investment |  |  |  |  | 4,407.6 | $ 3,850.2 | $ 3,147.4 | $ 3,129.4 | 3,714.2 | $ 3,633.1 | $ 3,761.3 | $ 3,333.6 | 14,534.6 | [2] | $ 14,442.2 | [2] | 13,982.4 | [2]
MTD |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire equity method investment |  |  | $ 234.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percent of ownership interest acquired |  |  | 20.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Annual revenues of equity method investment |  |  | $ 2,600.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Option to purchase additional ownership percentage (up to) |  |  | 80.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consolidated Aerospace Manufacturing (CAM) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
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 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned | 20 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Expected tax deductible amount of acquired goodwill | $ 569.8 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Identifiable net assets acquired | 858.6 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill acquired | 633.2 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Deferred taxes | 16.3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consolidated Aerospace Manufacturing (CAM) | Trade names |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible Assets | 25.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consolidated Aerospace Manufacturing (CAM) | Customer relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible Assets | $ 565.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
2020 Acquisition |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, net of cash acquired |  |  |  |  |  |  |  |  |  |  |  |  | $ 28.2 |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  |  |  |  | 8 years |  |  |  |  |
Identifiable net assets acquired |  |  |  |  | 13.4 |  |  |  |  |  |  |  | $ 13.4 |  |  |  |  |
Finite-lived intangible assets acquired |  |  |  |  | 14.8 |  |  |  |  |  |  |  | 14.8 |  |  |  |  |
Goodwill acquired |  |  |  |  | 14.8 |  |  |  |  |  |  |  | 14.8 |  |  |  |  |
Equipment Solution Attachments Group (IES) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, net of cash acquired |  | $ 653.5 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 14 years |  |  |
Expected tax deductible amount of acquired goodwill |  |  |  |  | $ 2.4 |  |  |  |  |  |  |  | $ 2.4 |  |  |  |  |
Identifiable net assets acquired |  |  |  |  |  |  |  |  | 342.2 |  |  |  |  |  | $ 342.2 |  |  |
Finite-lived intangible assets acquired |  |  |  |  |  |  |  |  | 304.0 |  |  |  |  |  | 304.0 |  |  |
Goodwill acquired |  |  |  |  |  |  |  |  | 311.3 |  |  |  |  |  | 311.3 |  |  |
Working capital acquired |  |  |  |  |  |  |  |  | 77.8 |  |  |  |  |  | 77.8 |  |  |
Deferred taxes |  |  |  |  |  |  |  |  | 78.3 |  |  |  |  |  | 78.3 |  |  |
Intangible Assets |  |  |  |  |  |  |  |  | 328.0 |  |  |  |  |  | 328.0 |  |  |
2019 Acquisitions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, net of cash acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 40.8 |  |  |
Number of businesses acquired during the period | business |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 5 |  |  |
Identifiable net assets acquired |  |  |  |  |  |  |  |  | 19.0 |  |  |  |  |  | $ 19.0 |  |  |
Finite-lived intangible assets acquired |  |  |  |  |  |  |  |  | 8.8 |  |  |  |  |  | 8.8 |  |  |
Goodwill acquired |  |  |  |  |  |  |  |  | 21.8 |  |  |  |  |  | 21.8 |  |  |
Working capital acquired |  |  |  |  |  |  |  |  | $ 5.9 |  |  |  |  |  | $ 5.9 |  |  |
Nelson Fasteners |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, net of cash acquired |  |  |  | $ 424.2 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Identifiable net assets acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 211.8 |
Finite-lived intangible assets acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 149.0 |
Goodwill acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 216.9 |
Working capital acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 64.2 |
Intangible Assets |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 167.0 |
Series of Individually Immaterial Business Acquisitions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, net of cash acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 104.5 |
Number of businesses acquired during the period |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 6 |  |  |
Identifiable net assets acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 38.1 |
Finite-lived intangible assets acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 35.5 |
Goodwill acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 66.4 |
Noncurrent assets acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 32.0 |
Working capital acquired |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 13.4 |
Minimum | 2019 Acquisitions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  |  |  |  | 8 years |  | 8 years |  |  |
Minimum | Nelson Fasteners |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 12 years |
Minimum | Series of Individually Immaterial Business Acquisitions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 10 years |
Maximum | 2019 Acquisitions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 10 years |  |  |
Maximum | Nelson Fasteners |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 15 years |
Maximum | Series of Individually Immaterial Business Acquisitions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Weighted average useful life assigned |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 14 years |
[1] | See Note A, Significant Accounting Policies - Restatement, for discussion regarding the impacts of the Restatement.
[2] | See Note A, Significant Accounting Policies - Restatement, for discussion regarding the impacts of the Restatement.

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