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Stock-Based Compensation Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended
--- | ---
Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018 | Dec. 30, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term (Years) | 3 years 10 months 24 days | 4 years 4 months 24 days | 5 years 2 months 12 days | 5 years 9 months 18 days
Stock-based compensation expense | $ 28.9 | $ 24.5 | $ 31.2 |
Income tax benefits for grants | $ 5.6 | 4.8 | 6.4 |
Maximum expiry period of options granted from the grant date | 10 years |  |  |
Vesting period of options granted | 3 years |  |  |
Lapsing period of restrictions related to restricted stock issued | three- to four-year |  |  |
Total pretax intrinsic value of options exercised | $ 9.3 | $ 10.7 | 21.2 |
Closing stock price | $ 31.25 |  |  |
Stock options exercisable and in-the-money, number | 3,096,685 | 3,974,757 |  |
Stock options exercisable and in-the-money, weighted average exercise price | $ 21.66 | $ 21.29 |  |
Available For Issuance [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Stock incentive units | 6,060,880 |  |  |
Option Or Stock Appreciation Right [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Stock incentive units | 1.0 |  |  |
Non-Stock Option Awards [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Stock incentive units | 2.6 |  |  |
Employee Stock Option [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Unrecognized compensation expense related to nonvested shares and stock option grants | $ 0.1 | $ 0.2 | $ 0.4 |
Weighted-average period of recognition | 10 months 24 days | 1 year 4 months 24 days | 9 months 18 days |
Restricted Awards [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Total fair value of shares vested | $ 35.0 | $ 23.7 | $ 17.4 |
Unrecognized compensation expense related to nonvested shares and stock option grants | $ 18.5 | $ 19.9 | $ 20.2 |
Weighted-average period of recognition | 1 year 6 months | 1 year 6 months | 1 year 7 months 6 days |
Performance Awards [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Total fair value of shares vested | $ 28.0 | $ 22.8 | $ 7.3 |
Unrecognized compensation expense related to nonvested shares and stock option grants | $ 1.4 | $ 4.5 | $ 19.0 |
Weighted-average period of recognition | 1 year 4 months 24 days | 1 year 1 month 6 days | 1 year 8 months 12 days |

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