15.23 is what percent of 110.23 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 110.23 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 110.23, so we can write it down as 100%=110.23.
4. We know, that x% equals 15.23 of the output value, so we can write it down as x%=15.23.
5. Now we have two simple equations:
1) 100%=110.23
2) x%=15.23
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=110.23/15.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.23 is what percent of 110.23

100%/x%=110.23/15.23
(100/x)*x=(110.23/15.23)*x       - we multiply both sides of the equation by x
100=7.2376887721602*x       - we divide both sides of the equation by (7.2376887721602) to get x
100/7.2376887721602=x
13.816565363331=x
x=13.816565363331

now we have:
15.23 is 13.816565363331% of 110.23