In this work we present a method to obtain the transverse permeability of magnetic materials, valid for both cylindrical and rectangular geometry and a wide frequency range. The principle of this method is based on the dependence of the transverse permeability on the impedance through the skin-depth effect. We also present measurements of the transverse permeability from glass-coated microwires and a comparison with other well-established methods, namely approaches to low and high frequencies. From the complex permeability spectra we can obtain, for example, information about the domain-wall dynamics and the ferromagnetic resonance.