You need to know the identity of the compound.
The only way to go from milligrams a unit of mass to moles is by using the molar mass of the given compound.
As you know the molar mass of a compound tells you the mass of one mole of that compound. Let’s say that your compound has a molar mass of ##M_M## grams per mol.
This tells you that one mole of this compound has a mass of ##M_M## grams.
Now notice that before going from grams to moles you must go from milligrams to grams.
The conversion factor that you come in handy here is
##1 g = 10^3mg##
Moreover you need to go from milliliters to liters so a similar conversion factor is needed
##1 L = 10^3mL##
Now you’re ready to convert between milligrams per milliliter to moles per liter
##0.01(color(red)(cancel(color(black)(mg))))/(color(red)(cancel(color(black)(mL)))) * (10^3color(red)(cancel(color(black)(mL))))/1 L * (1color(red)(cancel(color(black)(g))))/(10^3color(red)(cancel(color(black)(mg)))) * 1 mole/(M_Mcolor(red)(cancel(color(black)(g)))) = (0.01/M_M) color(white)(a)mol/L##
So for a compound that has a molar mass equal to ##M_M## you have
##color(green)(0.01 mg/mL = (0.01/M_M) color(white)(a)mol/L)##