Revenue Recognition - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Apr. 03, 2026	Mar. 28, 2025	Apr. 03, 2026	Mar. 28, 2025
Disaggregation of Revenue [Line Items]
Revenue	$ 4,907,342	$ 4,279,298	$ 9,738,891	$ 8,831,384
FSS United States
Disaggregation of Revenue [Line Items]
Revenue	3,430,300	3,056,400	6,792,400	6,357,400
FSS International
Disaggregation of Revenue [Line Items]
Revenue	1,477,000	1,222,900	2,946,500	2,474,000
FSS United States: \| FSS United States
Disaggregation of Revenue [Line Items]
Revenue	3,430,300	3,056,400	6,792,400	6,357,400
FSS International: \| FSS International
Disaggregation of Revenue [Line Items]
Revenue	1,477,000	1,222,900	2,946,500	2,474,000
Europe \| FSS International
Disaggregation of Revenue [Line Items]
Revenue	826,100	653,000	1,673,900	1,328,100
Rest of World \| FSS International
Disaggregation of Revenue [Line Items]
Revenue	650,900	569,900	1,272,600	1,145,900
Business & Industry \| FSS United States: \| FSS United States
Disaggregation of Revenue [Line Items]
Revenue	553,000	449,600	1,063,600	881,800
Education \| FSS United States: \| FSS United States
Disaggregation of Revenue [Line Items]
Revenue	1,142,900	1,011,500	2,228,900	2,152,600
Healthcare \| FSS United States: \| FSS United States
Disaggregation of Revenue [Line Items]
Revenue	443,200	411,500	864,500	816,100
Sports, Leisure & Corrections \| FSS United States: \| FSS United States
Disaggregation of Revenue [Line Items]
Revenue	907,400	799,100	1,868,600	1,749,400
Facilities & Other \| FSS United States: \| FSS United States
Disaggregation of Revenue [Line Items]
Revenue	$ 383,800	$ 384,700	$ 766,800	$ 757,500