arcgis desktop - Determining amount of forest in overlapping buffers using ArcMap?

I'm using the multiple buffer tool around a series of points for buffer distances 250 m, 500 m and 1000 m around each point. I am then using the tabulate area tool to determine the amount of forest cover from a land cover map within each buffer ring around each point. What I wanted to ensure is that within each buffer zone, such as the 500 m buffer zone that also contains the 250 m buffer zone, is including the amount of forest cover both within the entire 500 m buffer zone area, and is including the forest cover within the embodied 250 m buffer zone as well? I want to make sure it's including the cover in the entire buffer zone for each distance, and isn't excluding what has already been measured in the smaller, overlapping rings.