Firstly I'd ask why do you want to save money? Money loses value over time, instead, I'd recommend investing it.
But it is well known that for investing money, first you need to master the science of saving.
Having said that, what works for most people is to save a % of your earnings, regardless of how much you earn, this is a good practice.
The goal is to increase that % as much as possible over the time, so that in some time you can only live with perhaps 20% of your earnings + the gains of your savings/investments.
Bear in mind that saving money without investing or having a plan for that money is as pointless as spending it the moment you receive it.