Quarterly Financial Results (Details) - USD ($) $ / shares in Units, $ in Millions			3 Months Ended															12 Months Ended
	Nov. 28, 2016	Sep. 01, 2015	Jun. 30, 2017		Mar. 31, 2017		Dec. 31, 2016		Sep. 30, 2016		Jun. 30, 2016		Mar. 31, 2016	Dec. 31, 2015		Sep. 30, 2015		Jun. 30, 2017	Jun. 30, 2016	Jun. 30, 2015
Summarized Quarterly Results of Continuing Operations [Abstract]
Revenues from continuing operations			$ 3,064.8		$ 3,410.8		$ 2,987.3		$ 2,916.9		$ 2,898.2		$ 3,248.6	$ 2,807.0		$ 2,714.0		$ 12,379.8	$ 11,667.8	$ 10,938.5
Gross profit from continuing operations			1,217.6		1,499.8		1,219.5		1,173.3		1,199.7		1,435.9	1,124.5		1,067.5
Earnings from continuing operations before income taxes			388.4	[1]	827.9	[2]	786.2	[3]	528.7	[4]	427.0	[5]	794.8	507.9	[6]	505.0	[7]	2,531.1	2,234.7	2,070.7
Net Earnings from continuing operaitons			265.8	[1]	587.7	[2]	510.9	[3]	368.7	[4]	282.0	[5]	532.5	341.4	[6]	337.5	[7]	1,733.4	1,493.4	1,376.5
Net loss from discontinued operations											0.0		0.0	0.0		(0.9)		0.0	(0.9)	76.0
Net earnings			$ 265.8		$ 587.9		$ 510.9		$ 368.7		$ 282.0		$ 532.5	$ 341.4		$ 336.6		$ 1,733.4	$ 1,492.5	$ 1,452.5
Basic earnings per share from continuing operations (in dollars per share)			$ 0.60	[1]	$ 1.32	[2]	$ 1.14	[3]	$ 0.82	[4]	$ 0.62	[5]	$ 1.17	$ 0.75	[6]	$ 0.73	[7]	$ 3.87	$ 3.27	$ 2.91
Diluted earnings per share from continuing operations (in dollars per share)			$ 0.59	[1]	$ 1.31	[2]	$ 1.13	[3]	$ 0.81	[4]	$ 0.62	[5]	$ 1.17	$ 0.74	[6]	$ 0.72	[7]	$ 3.85	$ 3.25	$ 2.89
Impact of restructuring charges on income from continuing operations			$ 43.5		$ 0.6				$ 39.9		$ 48.2							$ 91.5
Impact of restructuring charges on net earnings from continuing operations			$ 27.1		$ 0.4				$ 24.8		$ 31.8
Impact of restructuring charges on basic and diluted earnings per share (in dollars per share)			$ 0.06						$ 0.05		$ 0.07
Impact of sale of businesses on continuing operations before income taxes	$ (205.4)	$ (29.1)					$ (205.4)									$ (29.1)
Impact of sale of businesses on net earnings from continuing operations							$ (121.4)									$ (21.8)		(121.4)	$ (21.8)	$ (78.4)
Impact of sale of businesses on basic and diluted earnings per share (in dollars per share)							$ (0.27)									$ (0.05)
Gain on sale of building														$ (13.9)				$ 0.0	$ (13.9)	$ 0.0
Impact of sale of building on net earnings from continuing operations														$ (8.6)
Impact of sale of building on basic and diluted earnings per share (in dollars per share)														$ (0.02)

[1] Earnings from continuing operations before income taxes; net earnings from continuing operations; and basic and diluted EPS from continuing operations include charges for the Workforce Optimization Effort and Service Alignment Initiative. The combined impact decreased earnings from continuing operations before income taxes by $43.5 million and, net earnings from continuing operations and net earnings by $27.1 million and basic and diluted earnings per share from continuing operations by $0.06.

[2] Earnings from continuing operations before income taxes; net earnings from continuing operations; and basic and diluted EPS from continuing operations include charges for the Service Alignment Initiative. This decreased earnings from continuing operations before income taxes by $0.6 million, and net earnings from continuing operations and net earnings by $0.4 million, and had no impact on basic and diluted earnings per share from continuing operations.

[3] Earnings from continuing operations before income taxes; net earnings from continuing operations; and basic and diluted EPS from continuing operations include the gain on the sale of the COBRA and CHSA businesses. This increased earnings from continuing operations before income taxes by $205.4 million, net earnings from continuing operations and net earnings by $121.4 million, and basic and diluted earnings per share from continuing operations by $0.27.

[4] Earnings from continuing operations before income taxes; net earnings from continuing operations; and basic and diluted EPS from continuing operations include the charge for the Service Alignment Initiative. This decreased earnings from continuing operations before income taxes by $39.9 million, net earnings from continuing operations by $24.8 million and basic and diluted earnings per share from continuing operations by $0.05.

[5] Earnings from continuing operations before income taxes; net earnings from continuing operations; net earnings; and basic and diluted EPS from continuing operations include the charge for the Workforce Optimization Effort. This decreased earnings from continuing operations before income taxes by $48.2 million net earnings from continuing operations and net earnings by $31.8 million and basic and diluted earnings per share from continuing operations by $0.07.

[6] Earnings from continuing operations before income taxes; net earnings from continuing operations; net earnings; and basic and diluted EPS from continuing operations include the gain on sale of a building. This increased earnings from continuing operations before income taxes by $13.9 million net earnings from continuing operations and net earnings by $8.6 million and basic and diluted earnings per share from continuing operations by $0.02.

[7] Earnings from continuing operations before income taxes; net earnings from continuing operations; net earnings; and basic and diluted EPS from continuing operations include the gain on the sale of AMD. This increased earnings from continuing operations before income taxes by $29.1 million, net earnings from continuing operations and net earnings by $21.8 million, and basic and diluted earnings per share from continuing operations by $0.05