Revenue - Business Revenue (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 28, 2024	Sep. 30, 2023	Sep. 24, 2022
Disaggregation of Revenue [Line Items]
Total revenues:	$ 4,030.3	$ 4,030.4	$ 4,862.8
United States
Disaggregation of Revenue [Line Items]
Total revenues:	3,024.1	3,058.0	3,467.9
International
Disaggregation of Revenue [Line Items]
Total revenues:	1,006.2	972.4	1,394.9
Diagnostics
Disaggregation of Revenue [Line Items]
Total revenues:	1,782.0	1,880.1	3,018.5
Diagnostics | United States
Disaggregation of Revenue [Line Items]
Total revenues:	1,312.7	1,396.2	2,027.3
Diagnostics | International
Disaggregation of Revenue [Line Items]
Total revenues:	469.3	483.9	991.2
Diagnostics | Cytology & Perinatal
Disaggregation of Revenue [Line Items]
Total revenues:	479.2	480.6	474.7
Diagnostics | Cytology & Perinatal | United States
Disaggregation of Revenue [Line Items]
Total revenues:	283.3	297.4	300.4
Diagnostics | Cytology & Perinatal | International
Disaggregation of Revenue [Line Items]
Total revenues:	195.9	183.2	174.3
Diagnostics | Molecular Diagnostics
Disaggregation of Revenue [Line Items]
Total revenues:	1,272.5	1,361.7	2,511.4
Diagnostics | Molecular Diagnostics | United States
Disaggregation of Revenue [Line Items]
Total revenues:	999.1	1,061.0	1,694.5
Diagnostics | Molecular Diagnostics | International
Disaggregation of Revenue [Line Items]
Total revenues:	273.4	300.7	816.9
Diagnostics | Blood Screening
Disaggregation of Revenue [Line Items]
Total revenues:	30.3	37.8	32.4
Diagnostics | Blood Screening | United States
Disaggregation of Revenue [Line Items]
Total revenues:	30.3	37.8	32.4
Diagnostics | Blood Screening | International
Disaggregation of Revenue [Line Items]
Total revenues:	0.0	0.0	0.0
Breast Health
Disaggregation of Revenue [Line Items]
Total revenues:	1,522.9	1,432.7	1,227.8
Breast Health | United States
Disaggregation of Revenue [Line Items]
Total revenues:	1,177.5	1,116.6	957.2
Breast Health | International
Disaggregation of Revenue [Line Items]
Total revenues:	345.4	316.1	270.6
Breast Health | Breast Imaging
Disaggregation of Revenue [Line Items]
Total revenues:	1,210.7	1,144.2	951.6
Breast Health | Breast Imaging | United States
Disaggregation of Revenue [Line Items]
Total revenues:	932.9	884.0	735.1
Breast Health | Breast Imaging | International
Disaggregation of Revenue [Line Items]
Total revenues:	277.8	260.2	216.5
Breast Health | Interventional Breast Solutions
Disaggregation of Revenue [Line Items]
Total revenues:	312.2	288.5	276.2
Breast Health | Interventional Breast Solutions | United States
Disaggregation of Revenue [Line Items]
Total revenues:	244.6	232.6	222.1
Breast Health | Interventional Breast Solutions | International
Disaggregation of Revenue [Line Items]
Total revenues:	67.6	55.9	54.1
GYN Surgical
Disaggregation of Revenue [Line Items]
Total revenues:	641.3	604.2	522.9
GYN Surgical | United States
Disaggregation of Revenue [Line Items]
Total revenues:	482.5	475.3	423.8
GYN Surgical | International
Disaggregation of Revenue [Line Items]
Total revenues:	158.8	128.9	99.1
Skeletal Health
Disaggregation of Revenue [Line Items]
Total revenues:	84.1	113.4	93.6
Skeletal Health | United States
Disaggregation of Revenue [Line Items]
Total revenues:	51.4	69.9	59.6
Skeletal Health | International
Disaggregation of Revenue [Line Items]
Total revenues:	$ 32.7	$ 43.5	$ 34.0