Restructuring and Related Charges (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 28, 2024	Sep. 30, 2023	Oct. 01, 2022
Restructuring Cost and Reserve [Line Items]
Business Exit Liability	$ 103	$ 165
Plant Closure Payment	(96)
Plant Closure Charges	34
Plant Closure and Related Cost, Cash Outflows
Restructuring Cost and Reserve [Line Items]
Business Exit Costs	24	201
Unusual or Infrequent Item, or Both, Net of Insurance Proceeds	31
Plant Closures and Related Cost, Non-Cash Charges
Restructuring Cost and Reserve [Line Items]
Business Exit Costs	174	138
Unusual or Infrequent Item, or Both, Net of Insurance Proceeds	64
Plant Closures and Related Cost, Insurance Proceeds
Restructuring Cost and Reserve [Line Items]
Unusual or Infrequent Item, or Both, Insurance Proceeds	9
2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	31	124	$ 66
Restructuring Reserve	7	65
Payments for Restructuring	(79)
Restructuring and Related Cost, Cost Incurred to Date	221
Restructuring and Related Cost, Expected Cost	221
Restructuring Reserve, Accrual Adjustment	(2)
Restructuring Charges	$ 23
Restructuring, Incurred Cost, Statement of Income or Comprehensive Income [Extensible Enumeration]	Cost of Sales, Selling, General and Administrative
2022 Program | Restructuring and Related Cost, Cash Outflows
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	$ 21	108	66
2022 Program | Restructuring and Related Cost, Non-Cash Charges
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	10	16
Cost of Sales
Restructuring Cost and Reserve [Line Items]
Business Exit Costs	198	322
Cost of Sales | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	29	18
Restructuring and Related Cost, Cost Incurred to Date	47
Selling, General and Administrative Expenses [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	31	95	48
Restructuring and Related Cost, Cost Incurred to Date	174
Employee Severance [Member]
Restructuring Cost and Reserve [Line Items]
Business Exit Liability	5	14
Plant Closure Payment	(20)
Plant Closure Charges	11
Employee Severance [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	4	55	66
Restructuring Reserve	6	58
Payments for Restructuring	(56)
Restructuring and Related Cost, Expected Cost	125
Restructuring Reserve, Accrual Adjustment	(2)
Restructuring Charges	6
Contract Termination
Restructuring Cost and Reserve [Line Items]
Business Exit Liability	98	151
Plant Closure Payment	(76)
Plant Closure Charges	23
Contract Termination | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	19	2	0
Restructuring Reserve	0	0
Payments for Restructuring	(9)
Restructuring and Related Cost, Expected Cost	21
Restructuring Reserve, Accrual Adjustment	0
Restructuring Charges	9
Accelerated Depreciation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	19	0
Restructuring and Related Cost, Expected Cost	19
Employee Relocation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	8	42	0
Restructuring Reserve	1	5
Payments for Restructuring	(12)
Restructuring and Related Cost, Expected Cost	50
Restructuring Reserve, Accrual Adjustment	0
Restructuring Charges	8
Other Restructuring | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	6	0
Restructuring Reserve	0	2
Payments for Restructuring	(2)
Restructuring and Related Cost, Expected Cost	6
Restructuring Reserve, Accrual Adjustment	0
Restructuring Charges	0
Beef [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	4	33	16
Restructuring and Related Cost, Expected Cost	53
Beef [Member] | Employee Severance [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	1	8	16
Restructuring and Related Cost, Expected Cost	25
Beef [Member] | Contract Termination | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Expected Cost	0
Beef [Member] | Accelerated Depreciation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	5	0
Restructuring and Related Cost, Expected Cost	5
Beef [Member] | Employee Relocation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	3	18	0
Restructuring and Related Cost, Expected Cost	21
Beef [Member] | Other Restructuring | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	2	0
Restructuring and Related Cost, Expected Cost	2
Pork [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	1	11	5
Restructuring and Related Cost, Expected Cost	17
Pork [Member] | Employee Severance [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	2	5
Restructuring and Related Cost, Expected Cost	7
Pork [Member] | Contract Termination | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Expected Cost	0
Pork [Member] | Accelerated Depreciation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	2	0
Restructuring and Related Cost, Expected Cost	2
Pork [Member] | Employee Relocation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	1	6	0
Restructuring and Related Cost, Expected Cost	7
Pork [Member] | Other Restructuring | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	1	0
Restructuring and Related Cost, Expected Cost	1
Chicken [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	2	16	6
Restructuring and Related Cost, Expected Cost	24
Chicken [Member] | Employee Severance [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	2	14	6
Restructuring and Related Cost, Expected Cost	22
Chicken [Member] | Contract Termination | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Expected Cost	0
Chicken [Member] | Accelerated Depreciation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Expected Cost	0
Chicken [Member] | Employee Relocation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	2	0
Restructuring and Related Cost, Expected Cost	2
Chicken [Member] | Other Restructuring | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Expected Cost	0
Prepared Foods [Member]
Restructuring Cost and Reserve [Line Items]
Production Related Impairments or Charges		17
Production Related Impairments or Charges		17
Prepared Foods [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	24	49	36
Restructuring and Related Cost, Expected Cost	109
Prepared Foods [Member] | Employee Severance [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	1	16	36
Restructuring and Related Cost, Expected Cost	53
Prepared Foods [Member] | Contract Termination | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	19	2	0
Restructuring and Related Cost, Expected Cost	21
Prepared Foods [Member] | Accelerated Depreciation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	12	0
Restructuring and Related Cost, Expected Cost	12
Prepared Foods [Member] | Employee Relocation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	4	16	0
Restructuring and Related Cost, Expected Cost	20
Prepared Foods [Member] | Other Restructuring | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	3	0
Restructuring and Related Cost, Expected Cost	3
Corporate and Other [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	15	3
Restructuring and Related Cost, Expected Cost	18
Corporate and Other [Member] | Cost of Sales
Restructuring Cost and Reserve [Line Items]
Unusual or Infrequent Item, or Both, Net of Insurance Proceeds	86
Corporate and Other [Member] | Employee Severance [Member] | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	15	3
Restructuring and Related Cost, Expected Cost	18
Corporate and Other [Member] | Contract Termination | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Expected Cost	0
Corporate and Other [Member] | Accelerated Depreciation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Expected Cost	0
Corporate and Other [Member] | Employee Relocation | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	0	0
Restructuring and Related Cost, Expected Cost	0
Corporate and Other [Member] | Other Restructuring | 2022 Program
Restructuring Cost and Reserve [Line Items]
Restructuring and Related Cost, Incurred Cost	0	$ 0	$ 0
Restructuring and Related Cost, Expected Cost	$ 0