Strange clipping with the mesh So I made this cushion but it has this weird clipping or shading on the cushion part. 

Here it is without subdivision smoothness and also with it. Any ideas how I can begin fixing this?







This was after i went through and deleted any double faces individually. Not sure why remove doubles didnt catch them. Still doesnt look right.
This definitely looks like two meshes. May be a duplicate, hidden in Viewport, but visible while rendering? If you can't solve the issue, consider uploading your blend file.

Edit: After checking your file, it's clear that overlapping faces are the reason for your problems. Look at the screenshots, I raised some part of your mesh. You need to remodel your mesh, to avoid intersecting faces.