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Stock-Based Compensation Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended
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Dec. 31, 2022 | Jan. 01, 2022 | Jan. 02, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | $ 33.4 | $ 38.1 | $ 28.9
Income tax benefits for grants | $ 6.5 | $ 7.5 | $ 5.6
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 |  |
Weighted-average fair values for options granted | $ 8.46 | $ 11.14 | $ 8.20
Total pretax intrinsic value of options exercised | $ 0.4 | $ 11.4 | $ 9.3
Closing stock price | $ 10.93 |  |
Stock options exercisable and in-the-money, number |  | 2,247,575 |
Stock options exercisable and in-the-money, weighted average exercise price |  | $ 21.70 |
Available For Issuance [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock incentive units | 5,543,811 |  |
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 | $ 0.1
Weighted-average period of recognition | 10 months 24 days | 1 year 3 months 18 days | 10 months 24 days
Restricted Awards [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Unrecognized compensation expense related to nonvested shares and stock option grants | $ 19.4 | $ 19.8 | $ 18.5
Weighted-average period of recognition | 1 year 7 months 6 days | 1 year 7 months 6 days | 1 year 6 months
Total fair value of shares vested | $ 10.9 | $ 34.8 | $ 35.0
Performance Awards [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Unrecognized compensation expense related to nonvested shares and stock option grants | $ 10.8 | $ 16.1 | $ 1.4
Weighted-average period of recognition | 1 year 7 months 6 days | 1 year 4 months 24 days | 1 year 4 months 24 days
Total fair value of shares vested | $ 9.3 | $ 6.2 | $ 28.0

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