As a comparison, Germany has a <2% fatality rate and has tested more people than Italy.
Germany's good numbers may not hold.
20 days ago Germany had 7256 cases. Italy had 27977.
10 days ago Germany had 37307 cases. Italy had 74383.
0 days ago Germany had 96076 cases. Italy had 124629.
The point being that Germany saw the outbreak take hold considerably after Italy. Italy had a very low original death rate as well -- approximately 2% weeks into the outbreak. This virus takes weeks to kill most of its victims.
14 days ago Germany had a death rate of 0.375%.
7 days ago, Germany had a death to case rate of 0.75%.
Today it's at 1.5%. It has increased every day between.
The fact that Italy is a hyper-social society, while Germany, at least from my probably wrong foreign view, is quite the opposite, probably changed the path of the disease, accelerating its spread in Italy.