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Stock-Based Compensation and Other Stock Plans - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Net stock-based compensation expense	$ 34.0	$ 41.4	$ 19.5
Cash received from stock purchase and option plan exercises	55.0	162.4	55.8
Tax benefit realized from exercise and vesting of share-based payment arrangements	$ 10.7	$ 18.2	$ 8.2
2011 Incentive Stock and Awards Plan
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Number of shares available for future grants (in shares)	3,122,593

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

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Amount of cash inflow from exercise of option under share-based payment arrangement.

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The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable.

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