That what I did here. With you using the AC rate watts means you are saying the DC POWER INVERTER is a good high 90s% efficient which is true.
What is very important to me is I do not ever want to drop my battery bank below its approx 50% charge state so that is why you divide your answer by 2... Otherwise you will start doing harm to your batteries. You also can only do these 50% to 90% cycles for abot 12-14 times then you have to do a 100% charge state which takes many hours for me to do. If you don't do this then the performance will start dropping off on the batteries i.e. they get down to the 50% mark quicker and quicker. Eventually this will do bad harm to your battery as well...
You hear alot of folk referring to the X10 thing when talking AC and DC circuit haha...
If the DC POWER Inverters were not so efficient then you couldn't do these simple assumptions think...
Roy Ken