158.35 is what percent of 234.5 - 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 234.5 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 234.5, so we can write it down as 100%=234.5.
4. We know, that x% equals 158.35 of the output value, so we can write it down as x%=158.35.
5. Now we have two simple equations:
1) 100%=234.5
2) x%=158.35
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%=234.5/158.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.35 is what percent of 234.5

100%/x%=234.5/158.35
(100/x)*x=(234.5/158.35)*x       - we multiply both sides of the equation by x
100=1.4808967477108*x       - we divide both sides of the equation by (1.4808967477108) to get x
100/1.4808967477108=x
67.526652452026=x
x=67.526652452026

now we have:
158.35 is 67.526652452026% of 234.5