An object may be magnetized by placing it in magnetic field of strength H. The magnetic susceptibity χm is defined as-
M=χmH
The relative permeability is related to the magnetic susceptibilty via
μr=1+χm
The
magnetic flux density B is then due to the external magnetic field
H and the magnetized field of the object
MB=μO(H+M)=μO(1+χm)H
In a diamagnetic substance the χm is small and negative (~ -10-5). In a paramagnetic substance it is small (~ 10-3) and positive while in a ferromagnetic substance it is much larger (~ 106) and positive.
Note, the magnetization M does not always respond linearly to the applied magnetic field H. In such cases, the magnetic susceptiblity can be defined by the slope dM/dH or by some other approximation.
Note, the magnetic susceptibility does not have units.