Convert coordinates

Hi,
I have a problem with converting the WFDEI data set i use (meta information can be found here: http://www.eu-watch.org/gfx_content/documents/README-WFDEI.pdf[/url]) to the correct projected coordinate system in meter format (I need it in USA_Contiguous_Albers_Equal_Area_Conic_USGS; geographic coordinate system GCS_North_American_1983)

The WFDEi data comes in lat long (degrees) in a .nc format but i am not able to convert it to my desired projected coordinate system, since the projection is listed as unknown in arcgis and since i could not find any information about it in the meta data.

I got these informations from the .nc file but I dont really know how to interprete them:

Generated grid information:
---------------
gridtype = lonlat
gridsize = 6477
xname = lon
xlongname = Longitude
xunits = degrees_east
yname = lat
ylongname = Latitude
yunits = degrees_north
xsize = 127
ysize = 51
xfirst = -125.37598
xinc = 0.5
yfirst = 24.562113
yinc = 0.5
---------------

Can anyone help me with that?
Thanks alot!!