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Goodwill and Other Intangible Assets - Narratve (Detail) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Goodwill | $ 982.4 | $ 913.8 | $ 902.2
Gross carrying value, finite-lived intangible assets | 440.8 | 420.0 |
Non-amortized trademarks | $ 129.6 | 115.0 |
Weighted-average amortization period (in years) | 11 years |  |
Aggregate amortization expense | $ 23.4 | 22.3 | $ 25.3
Estimated annual amortization expense for fiscal period 2021 | 23.3 |  |
Estimated annual amortization expense for fiscal period 2022 | 20.2 |  |
Estimated annual amortization expense for fiscal period 2023 | 17.2 |  |
Estimated annual amortization expense for fiscal period 2024 | 12.5 |  |
Estimated annual amortization expense for fiscal period 2025 | 8.2 |  |
Sigmavision Limited |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Goodwill | 5.6 |  |
Cognitran Limited |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Goodwill | 14.5 | 11.4 |
Increase in goodwill associated with acquisition, purchase accounting adjustment | 3.1 |  |
Non-amortized trademarks |  | 6.5 |
AutoCrib |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Goodwill | 18.3 |  |
Non-amortized trademarks | 7.4 |  |
Power Hawk Technologies Inc |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Goodwill |  | 6.4 |
TMB GeoMarketing Limited |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Goodwill |  | 1.3 |
Patents |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets | $ 43.2 | 38.5 |
Weighted-average amortization period (in years) | 7 years |  |
Patents | Sigmavision Limited |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets | $ 0.3 |  |
Customer relationships |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets | $ 191.5 | 182.9 |
Weighted-average amortization period (in years) | 15 years |  |
Customer relationship contractual term, minimum (in years) | 3 years |  |
Customer relationship contractual term, maximum (in years) | 5 years |  |
Customer relationships | Cognitran Limited |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets |  | 10.2 |
Customer relationships | AutoCrib |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets | $ 4.6 |  |
Customer relationships | Power Hawk Technologies Inc |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets |  | 0.9 |
Developed technology |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets | $ 21.8 | 19.8 |
Weighted-average amortization period (in years) | 3 years |  |
Developed technology | Cognitran Limited |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets |  | $ 1.1 |
Developed technology | AutoCrib |  |  |
Acquired Finite And Indefinite Lived Intangible Assets [Line Items] |  |  |
Gross carrying value, finite-lived intangible assets | $ 1.7 |  |

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