Revenue - Revenue by Type (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Sep. 26, 2020	Jun. 27, 2020	Mar. 28, 2020	Dec. 28, 2019	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Dec. 29, 2018	Sep. 26, 2020	Sep. 28, 2019	Sep. 29, 2018
Disaggregation of Revenue [Line Items]
Revenues	$ 1,347.0	$ 822.9	$ 756.1	$ 850.5	$ 865.8	$ 852.4	$ 818.4	$ 830.7	$ 3,776.4	$ 3,367.3	$ 3,217.9
Gyn Surgical [Member]
Disaggregation of Revenue [Line Items]
Revenues									376.1	437.2	422.0
United States
Disaggregation of Revenue [Line Items]
Revenues									2,863.2	2,536.0	2,417.6
United States | Gyn Surgical [Member]
Disaggregation of Revenue [Line Items]
Revenues									310.1	362.8	352.8
International
Disaggregation of Revenue [Line Items]
Revenues									913.2	831.3	800.3
International | Gyn Surgical [Member]
Disaggregation of Revenue [Line Items]
Revenues									66.0	74.4	69.2
Capital equipment, components and software
Disaggregation of Revenue [Line Items]
Revenues									665.9	984.9	977.2
Consumables
Disaggregation of Revenue [Line Items]
Revenues									2,561.1	1,786.4	1,666.7
Service
Disaggregation of Revenue [Line Items]
Revenues									516.6	568.3	551.8
Other
Disaggregation of Revenue [Line Items]
Revenues									$ 32.8	$ 27.7	$ 22.2