23.29 is what percent of 151.5 - 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 151.5 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 151.5, so we can write it down as 100%=151.5.
4. We know, that x% equals 23.29 of the output value, so we can write it down as x%=23.29.
5. Now we have two simple equations:
1) 100%=151.5
2) x%=23.29
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%=151.5/23.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.29 is what percent of 151.5

100%/x%=151.5/23.29
(100/x)*x=(151.5/23.29)*x       - we multiply both sides of the equation by x
100=6.50493774152*x       - we divide both sides of the equation by (6.50493774152) to get x
100/6.50493774152=x
15.372937293729=x
x=15.372937293729

now we have:
23.29 is 15.372937293729% of 151.5