2138.53 is what percent of 6741.73 - 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 6741.73 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 6741.73, so we can write it down as 100%=6741.73.
4. We know, that x% equals 2138.53 of the output value, so we can write it down as x%=2138.53.
5. Now we have two simple equations:
1) 100%=6741.73
2) x%=2138.53
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%=6741.73/2138.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2138.53 is what percent of 6741.73

100%/x%=6741.73/2138.53
(100/x)*x=(6741.73/2138.53)*x       - we multiply both sides of the equation by x
100=3.1525066283849*x       - we divide both sides of the equation by (3.1525066283849) to get x
100/3.1525066283849=x
31.720789767612=x
x=31.720789767612

now we have:
2138.53 is 31.720789767612% of 6741.73