799.38 is what percent of 2138.93 - 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 2138.93 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 2138.93, so we can write it down as 100%=2138.93.
4. We know, that x% equals 799.38 of the output value, so we can write it down as x%=799.38.
5. Now we have two simple equations:
1) 100%=2138.93
2) x%=799.38
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%=2138.93/799.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 799.38 is what percent of 2138.93

100%/x%=2138.93/799.38
(100/x)*x=(2138.93/799.38)*x       - we multiply both sides of the equation by x
100=2.6757361955516*x       - we divide both sides of the equation by (2.6757361955516) to get x
100/2.6757361955516=x
37.372892053503=x
x=37.372892053503

now we have:
799.38 is 37.372892053503% of 2138.93