Electric 101
Amps = Current
Voltage = "Electrical pressure"
Watts = Power
Ohms = Electrical resistance.
What is important in vaping is wattage. Watts are a measure of power. And power in vaping is manifested as heat. The more the watts the more your coil will heat up.
So in variable wattage mode, you setup your watts to your liking meaning that you setup the amount of heat that will be generated by your atomizer. And regardless of the resistance of your atomizer, the heat or power that will go through your coil will remain the same.
Pretty simple.
Voltage is a bit more complicated but will still give you what you want but you will have to take the resistance of your atomizer into consideration. Basically, the lower the resistance of your atomizer, the less voltage you will need to obtain the same power (or heat, or wattage). Conversely, the higher the resistance of your atomizer, the more voltage you will need to obtain the same wattage.
In a nut shell:
Variable wattage: Set it and forget it, you don't have to care about your atomizer resistance
Variable voltage: Adjust the voltage for the resistance of your atomizer. New resistance, new voltage.