5002.29 is what percent of 13157.64 - 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 13157.64 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 13157.64, so we can write it down as 100%=13157.64.
4. We know, that x% equals 5002.29 of the output value, so we can write it down as x%=5002.29.
5. Now we have two simple equations:
1) 100%=13157.64
2) x%=5002.29
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%=13157.64/5002.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5002.29 is what percent of 13157.64

100%/x%=13157.64/5002.29
(100/x)*x=(13157.64/5002.29)*x       - we multiply both sides of the equation by x
100=2.6303233119231*x       - we divide both sides of the equation by (2.6303233119231) to get x
100/2.6303233119231=x
38.018140031191=x
x=38.018140031191

now we have:
5002.29 is 38.018140031191% of 13157.64