If a quantity you calculated has units of (kg*m^2)/(s^2*c), what is that quantity?

The units of the quantity are:

We can isolate one , which corresponds to an acceleration, a:

[kg] corresponds to a mass, m; [m] corresponds to a length, L; C corresponds to a charge, Q:

But the product ma is a force, F:

and the product FL is a work, so an energy, U:

and this ratio corresponds to an electrical potential. So, the quantity is an electrical potential.