87.82 is what percent of 379.97 - 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 379.97 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 379.97, so we can write it down as 100%=379.97.
4. We know, that x% equals 87.82 of the output value, so we can write it down as x%=87.82.
5. Now we have two simple equations:
1) 100%=379.97
2) x%=87.82
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%=379.97/87.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.82 is what percent of 379.97

100%/x%=379.97/87.82
(100/x)*x=(379.97/87.82)*x       - we multiply both sides of the equation by x
100=4.3266909587793*x       - we divide both sides of the equation by (4.3266909587793) to get x
100/4.3266909587793=x
23.112350975077=x
x=23.112350975077

now we have:
87.82 is 23.112350975077% of 379.97