Debt (Schedule of long-term debt) (Details) - USD ($) $ in Millions	12 Months Ended
	May 28, 2017	May 31, 2015	Feb. 28, 2017	May 29, 2016
Debt Instrument [Line Items]
Long-term debt, including current portion	$ 8,247.6			$ 8,161.1
Other, including debt issuance costs and capital leases	(39.8)			(26.1)
Current portion of long-term debt	(604.7)			(1,103.4)
Total long-term debt	$ 7,642.9			7,057.7
5.65% notes due February 15, 2019 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	5.65%
Maturity date	Feb. 15, 2019
Long-term debt, including current portion	$ 1,150.0			1,150.0
5.7% notes due February 15, 2017 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	5.70%		5.70%
Maturity date	Feb. 15, 2017
Long-term debt, including current portion	$ 0.0			1,000.0
3.15% notes due December 15, 2021 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	3.15%
Maturity date	Dec. 15, 2021
Long-term debt, including current portion	$ 1,000.0			1,000.0
3.2% notes due February 10, 2027 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	3.20%
Maturity date	Feb. 10, 2027
Long-term debt, including current portion	$ 750.0			0.0
Euro-denominated 2.1% notes due November 16, 2020 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	2.10%
Maturity date	Nov. 16, 2020
Long-term debt, including current portion	$ 559.2			555.8
Euro-denominated 1.0% notes due April 27, 2023 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	1.00%
Maturity date	Apr. 27, 2023
Long-term debt, including current portion	$ 559.2			555.8
Euro-denominated floating-rate notes due January 15, 2020 [Member]
Debt Instrument [Line Items]
Maturity date	Jan. 15, 2020
Long-term debt, including current portion	$ 559.2			555.8
1.4% notes due October 20, 2017 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	1.40%	1.40%
Maturity date	Oct. 20, 2017	Oct. 20, 2017
Long-term debt, including current portion	$ 500.0			500.0
5.4% notes due June 15, 2040 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	5.40%
Maturity date	Jun. 15, 2040
Long-term debt, including current portion	$ 500.0			500.0
4.15% notes due February 15, 2043 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	4.15%
Maturity date	Feb. 15, 2043
Long-term debt, including current portion	$ 500.0			500.0
3.65% notes due February 15, 2024 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	3.65%
Maturity date	Feb. 15, 2024
Long-term debt, including current portion	$ 500.0			500.0
2.2% notes due October 21, 2019 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	2.20%	2.20%
Maturity date	Oct. 21, 2019	Oct. 21, 2019
Long-term debt, including current portion	$ 500.0			500.0
Euro-denominated 1.5% notes due April 27, 2027 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	1.50%
Maturity date	Apr. 27, 2027
Long-term debt, including current portion	$ 447.3			444.6
Euro-denominated floating-rate notes due March 20, 2019 [Member]
Debt Instrument [Line Items]
Maturity date	Mar. 20, 2019
Long-term debt, including current portion	$ 335.5			0.0
Euro-denominated 2.2% notes due June 24, 2021 [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	2.20%
Maturity date	Jun. 24, 2021
Long-term debt, including current portion	$ 222.8			221.0
Medium-term Notes [Member]
Debt Instrument [Line Items]
Long-term debt, including current portion	$ 204.2			$ 204.2
Medium-term Notes [Member] | Minimum [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	0.02%
Medium-term Notes [Member] | Maximum [Member]
Debt Instrument [Line Items]
Debt Instrument, Interest Rate, Stated Percentage	6.59%