Finding Z-Value from Percentile

Question

So I am just starting to work with standard distribution and deviation. I was wondering how to find the z-value of a percent. For example: Which z-value corresponds to the bottom 10% of standard distribution?

Answer 1

There is a table showing the z-values, and what percent corresponds with which z-value : enter image description here

I know this, but is there any way to actually solve for z values?