I think it is worth exploring what the statement by the IPCC that you quoted, actually means.
"
Human activities have a high likelihood of accounting for more than half of the observed warming over the last 50 years. IPCC."
Since you did not cite which report that came from, we have to assume it was AR5 with a ending reference period of 2011,
which puts 50 years at 1961.
Wood for Trees is a good way to gather data quick.
In this case I got the 120 month mean from 1961 to 2011 for BEST, GISS, and HadCrut4,
Wood for Trees(raw data)
With a decade average, they show the following warming, between 1961 and 2011
BEST .644C
GISS .672C
HadCrut4 .572C
One interesting thing right off is the .1C range between the highest and lowest data set,
but we can treat it like the IPCC's assumptions, and say that the best estimate is the average of high and the low, or .622C.
So the statement says that Human activity over the last 50 years accounted for somewhere between .311C and .622C of warming.
Let's see what forcing also happened in that same time window, NOAA's AGGI shows most of the greenhouse gasses as CO2 equivalents.
NOAA AGGI
The graph is a bit subjective but it looks like 350 ppm in 1961 and 471 ppm in 2011.
5.35 X ln(471/350) X.3=.47C.
Yep, that looks like more than half, at .311C, but it does not really say anything alarming!
By the time you add in the other factors that can cause warming and cooling, there is no room left in the "observed"
temperature increase, for any significant amplified feedbacks.
Without the strong positive feedbacks, AGW is just an interesting atmospheric footnote.
And we should be seeing the feedbacks by now!
Maximum warming occurs about one decade after a carbon dioxide emission