With standard LaTeX you are able to check for the class in use invoking the kernel command \@ifclassloaded. However, doing so you cannot get the explicit class name, unless you want to loop over every possible class name until \@ifclassloaded returns true --- don't do that! With the help of the present package you can obtain the name of the current class with significantly less effort. Just load the package as usual, then, the control sequence \classname will hold the name you were looking for.