in just one month, and as you said, the numbers will continue to rise.
If we optimistically project the numbers that Italy is 1/2 way done with the deaths and they will not have any more deaths after 2 months the numbers change a little.
That would be >13,000 deaths in 2 months. Italy has population about 68M giving 0.2% of their population dying in 2 months. If 0.5 to 1% population dies every year, then in the same 2 months there would be 56-113K deaths in italy of other causes.
That means 23 of every 100 deaths in Italy over the 2 months would be from Coronavirus. If my math checks out.