Consolidated Statements of Cash Flows - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Dec. 27, 2020
Operating activities
Net income	$ 292.4	$ 294.4	$ 194.8
Adjustments to reconcile net income to net cash provided by operating activities:
Depreciation and amortization	105.6	86.5	81.1
Operating lease expense	178.3	153.9	136.7
Provision for credit losses	1.4	1.4	4.4
Deferred income taxes	(5.8)	(0.7)	2.0
Loss on extinguishment of debt	0.0	10.3	0.0
Amortization of debt issuance costs	2.8	3.4	4.2
Stock-based compensation	13.0	11.4	8.5
Change in contingent consideration liabilities	5.0	2.3	0.0
Other non-cash, net	3.2	0.2	(0.7)
Changes in operating assets and liabilities, net of acquisitions:
Operating lease payments	(182.6)	(147.0)	(130.9)
Accounts receivable and other assets	18.0	(134.4)	(54.3)
Accounts payable and accrued expenses	(32.0)	29.4	64.2
Net cash provided by operating activities	399.3	311.1	310.0
Investing activities
Acquisition of businesses (net of cash acquired)	0.0	(257.1)	0.0
Purchases of property, equipment and computer software	(178.3)	(135.6)	(69.8)
Proceeds from the sale of property and equipment	39.0	0.8	0.8
Other	(3.7)	(2.0)	0.0
Net cash used by investing activities	(143.0)	(393.9)	(69.0)
Financing activities
Net increase (decrease) in book overdrafts	67.9	28.8	(33.6)
Proceeds from debt issuance	0.0	815.0	0.0
Payments on long-term debt	(181.3)	(774.0)	(4.0)
Deferred financing costs	(0.1)	(4.8)	(2.9)
Payments on finance leases	(11.3)	(12.7)	(14.3)
Purchase of treasury stock	(27.2)	(34.0)	0.0
Issuance of common stock under stock plans	0.4	1.0	8.1
Proceeds from issuance of employee stock purchase plan shares	1.3	1.6	1.0
Tax withholding payments for vested RSUs	(7.1)	(7.4)	(9.1)
Payment of contingent consideration	(54.7)	(1.3)	(1.5)
Net cash (used) provided by financing activities	(212.1)	12.2	(56.3)
Effect of exchange rate changes on cash and restricted cash	(10.7)	0.2	1.0
Net increase (decrease) in cash, cash equivalents and restricted cash	33.5	(70.4)	185.7
Cash, cash equivalents and restricted cash at beginning of period	162.4	232.8	47.1
Cash, cash equivalents and restricted cash at end of period	195.9	162.4	232.8
Cash paid for interest, net	50.1	45.2	53.7
Cash paid for taxes, net	84.6	90.0	59.7
Reconciliation of cash, cash equivalents and restricted cash reported in balance sheets
Cash and cash equivalents	195.9	109.4	232.8
Restricted cash	0.0	53.0	0.0
Total cash, cash equivalents and restricted cash shown in the statements of cash flows	$ 195.9	$ 162.4	$ 232.8