Eli5: Why Benford’s law works ?

Question

Pretty much the title.
I understand this is a law but can there be a reason why this happens?
For background: for almost all real life data like population, GDP and other real word stats, probability of it having 1 is like almost 30% which keeps decreasing with 9 to be least probable.
But why this happens, is this just a fascinating pattern in randomness?

In: 130

Answer 1

I had it explained like this:

To move from 1 to 2, you have to go up by 100%
To move from 2 to 3, only 50%
From 3 to 4 33%
…
from 10 to 20? 100%
20 to 30? same thing.

It takes more relative movement to go from lower starting numbers to the next number, than it does from Higher starting numbers, to the next number. So you will tend to spend more time in the lower numbers.