I trained and worked on both, superficially they may appear the same, but SOLID EDGE, if far more accurate and powerful than SOLIDWORKS, depending on what you do and the competency of your staff and budgeting it is up to the company to make the decision.
My experience; and speaking personally, was that SOLIDWORKS did not have the drafting capacity and capability of SOLID EDGE, and as wel, l it lacked Boolean!
SOLID EDGE has greater capability but going with that is a higher learning curve and a lousy
documentation etc! As well it integrates well with FEMAP ANSYS Mastercam and UG NX
CAM .
On the other hand the SW has its own cam(SOLID CAM) and FEA(COSMOS) etc, last year the German Company Siemens took the whole show over, so they may indulge in some eccentric changes a la Europeans .
I found SW lot easier to teach as well.