34.63 is what percent of 239.24 - 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 239.24 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 239.24, so we can write it down as 100%=239.24.
4. We know, that x% equals 34.63 of the output value, so we can write it down as x%=34.63.
5. Now we have two simple equations:
1) 100%=239.24
2) x%=34.63
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%=239.24/34.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.63 is what percent of 239.24

100%/x%=239.24/34.63
(100/x)*x=(239.24/34.63)*x       - we multiply both sides of the equation by x
100=6.9084608720762*x       - we divide both sides of the equation by (6.9084608720762) to get x
100/6.9084608720762=x
14.475004179903=x
x=14.475004179903

now we have:
34.63 is 14.475004179903% of 239.24