Stock Transactions and Stock-Based Compensation (Narrative) (Details) shares in Thousands, $ in Millions	1 Months Ended	12 Months Ended
	Jul. 31, 2015 shares	Dec. 31, 2016 USD ($) shares	Dec. 31, 2015 USD ($) shares	Dec. 31, 2014 USD ($)	Jul. 02, 2016	Jul. 16, 2013 shares
Repurchase of common stock authorized, shares | shares						20,000
Stock repurchase program, remaining number of shares authorized to be repurchased, shares | shares		20,000
Total number of authorized shares to be issued under the 2007 Stock Incentive Plan, shares | shares		76,000
Maximum number of authorized shares grantable in any form other than stock options or stock appreciation rights, shares | shares		23,000
Common shares reserved for issuance under the 2007 Stock Incentive Plan, shares | shares		27,000
Separation conversion factor					1.32
Stock compensation expense		$ 129.8	$ 103.8	$ 84.7
Aggregate intrinsic value of options exercised		210.0	313.0	154.0
Cash receipts due to exercise of options		161.0	223.0	125.0
Adjustments to additional paid-in capital, income tax benefit from share-based compensation		$ 99.0	$ 147.0	82.0
Total number of shares withheld sufficient to fund minimum tax withholding requirements related to exercising of stock options and vesting of RSUs | shares		668	677
Total value of shares withheld sufficient to fund minimum tax withholding requirements related to exercising of stock options and vesting of RSUs		$ 48.0	$ 60.0
RSUs/PSUs:
Vesting period of shares (in years)		5 years
Stock compensation expense		$ 85.9	69.7	52.1
Total unrecognized compensation cost		$ 132.0
Weighted average period for cost to be recognized (in years)		2 years
Adjustments to additional paid-in capital, income tax benefit from share-based compensation		$ 38.0	$ 46.0	36.0
Percentage of awards granted		25.00%	25.00%
PSUs
Vesting period of shares (in years)			3 years
Share-based compensation arrangement by share-based payment award, additional holding period			2 years
Percentage of awards granted		25.00%	25.00%
Stock options
Vesting period of shares (in years)		5 years
Stock option term (in years)		10 years
Stock compensation expense		$ 43.9	$ 34.1	32.6
Total unrecognized compensation cost		$ 113.0
Weighted average period for cost to be recognized (in years)		3 years
Adjustments to additional paid-in capital, income tax benefit from share-based compensation		$ 61.0	$ 101.0	46.0
Percentage of awards granted		50.00%	50.00%
Communications business | Discontinued operations
Shares held as Treasury shares | shares	26,000
Stock compensation expense				$ 6.0
Communications business | Discontinued operations | Stock options
Expiration period after vesting date			90 days
Pall Corporation
Total number of authorized shares to be issued under the 2007 Stock Incentive Plan, shares | shares		6,000