raster - Keeping spatial reference using arcpy.RasterToNumPyArray?

I am using ArcGIS 10.1, and want to create a new raster based on two preexisting rasters. The RasterToNumPyArray has a good example which I want to adapt.

import arcpy
import numpy 
myArray = arcpy.RasterToNumPyArray('C:/data/inRaster')
myArraySum = myArray.sum(1)

myArraySum.shape = (myArray.shape[0],1)
myArrayPerc = (myArray * 1.0)/ myArraySum
newRaster = arcpy.NumPyArrayToRaster(myArrayPerc)
newRaster.save("C:/output/fgdb.gdb/PercentRaster")

Problem is that it strips the spatial reference and also cell size. I figured it has to do arcpy.env, but how do I set them based on input raster? I cannot figure it out.

---

Taking Luke's answer, this is my tentative solution.

Both of Luke's solution set spatial reference, extent and cell size correctly. But the first method did not carry data in the array correctly and output raster is filled with nodata everywhere. His second method works mostly, but where i have big region of nodata, it fills with blocky zeros and 255s. This may have to do with how i handled nodata cells, and i am not quite sure how i was doing it (should be another Q though). I included images of what i am talking about.

#Setting the raster properties directly 

import arcpy 
import numpy 

inRaster0='C:/workspace/test0.tif' 
inRaster1='C:/workspace/test1.tif' 
outRaster='C:/workspace/test2.tif' 

dsc=arcpy.Describe(inRaster0) 
sr=dsc.SpatialReference 
ext=dsc.Extent 

ll=arcpy.Point(ext.XMin,ext.YMin) 

# sorry that i modify calculation from my original Q.  
# This is what I really wanted to do, taking two uint8 rasters, calculate 
# the ratio, express the results as percentage and then save it as uint8 raster.
tmp = [ np.ma.masked_greater(arcpy.RasterToNumPyArray(_), 100) for _ in inRaster0, inRaster1]
tmp = [ np.ma.masked_array(_, dtype=np.float32) for _ in tmp]
tmp = ((tmp[1] ) / tmp[0] ) * 100
tmp = np.ma.array(tmp, dtype=np.uint8)
# i actually am not sure how to properly carry the nodata back to raster...  

# but that's another Q
tmp = np.ma.filled(tmp, 255)

# without this, nodata cell may be filled with zero or 255?
arcpy.env.outCoordinateSystem = sr

newRaster = arcpy.NumPyArrayToRaster(myArrayPerc,ll,dsc.meanCellWidth,dsc.meanCellHeight) 

newRaster.save(outRaster) 

Image showing results. I both case nodata cells are shown yellow.

Luke's second method

My tentative method

Answer

Check out the Describe method.

Something like the following should work.

#Using arcpy.env
import arcpy
import numpy


inRaster='C:/workspace/test1.tif'
outRaster='C:/workspace/test2.tif'

dsc=arcpy.Describe(inRaster)
arcpy.env.extent=dsc.Extent
arcpy.env.outputCoordinateSystem=dsc.SpatialReference
arcpy.env.cellSize=dsc.meanCellWidth

myArray = arcpy.RasterToNumPyArray(r)
myArraySum = myArray.sum(1)

myArraySum.shape = (myArray.shape[0],1)
myArrayPerc = (myArray * 1.0)/ myArraySum

newRaster = arcpy.NumPyArrayToRaster(myArrayPerc)
newRaster.save(outRaster)

OR

#Setting the raster properties directly
import arcpy
import numpy


inRaster='C:/workspace/test1.tif'
outRaster='C:/workspace/test2.tif'

dsc=arcpy.Describe(inRaster)
sr=dsc.SpatialReference
ext=dsc.Extent
ll=arcpy.Point(ext.XMin,ext.YMin)

myArray = arcpy.RasterToNumPyArray(inRaster)

myArraySum = myArray.sum(1)
myArraySum.shape = (myArray.shape[0],1)
myArrayPerc = (myArray * 1.0)/ myArraySum

newRaster = arcpy.NumPyArrayToRaster(myArrayPerc,ll,dsc.meanCellWidth,dsc.meanCellHeight)
arcpy.DefineProjection_management(newRaster, sr)

newRaster.save(outRaster)

EDIT: The The arcpy.NumPyArrayToRaster method takes a value_to_nodata parameter. Use it like so:

try:
    noDataValue=dsc.noDataValue
    arcpy.NumPyArrayToRaster(myArrayPerc,ll,dsc.meanCellWidth,dsc.meanCellHeight,noDataValue)
except AttributeError: #no data is not defined
    arcpy.NumPyArrayToRaster(myArrayPerc,ll,dsc.meanCellWidth,dsc.meanCellHeight)