There are three aspects:
1) The raw power supplied by the solar power (presumably there is a storage element connected to it, battery)
2) There is the inverter
3) There is the load
Let's say that you net 90% of the energy from the solar panels into storage, which would be W*S 0r Jouls although W*H is more common, and easier to use, it's just J*3600.
Now let's say that your inverter is 90% efficient, 1000W in, 900W out.
Now your load is typically in VA unless it's a light bulb which would be Watts. Why VA, it's because the reactive power is wasted in heat, not returned to the source or does any work on the load.
So let's say you have a load that is 900VA and you want to operate that for 10H, that is effectively 900WH (even though some of the power could be reactive, it doesn't matter because it's coming out of the battery)
So your battery/solar system needs to supply 1000W*10H or 10KWH, but the solar panel & charging system is only 90% efficient in this example so the total that the solar panels must provide is, 10KWH/0/9 = 11.11KWH of energy.
This is simplistic and assumes that the efficiency remains constant over wide ranges which usually isn't the case.
I hope I understood you question. Centrally though VA is what you should use because once it leaves the inverter to the load, it is used one way or other, call it a vacuum cleaner (VA) or a light bulb (W).