37.44 is what percent of 86.82 - 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 86.82 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 86.82, so we can write it down as 100%=86.82.
4. We know, that x% equals 37.44 of the output value, so we can write it down as x%=37.44.
5. Now we have two simple equations:
1) 100%=86.82
2) x%=37.44
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%=86.82/37.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.44 is what percent of 86.82

100%/x%=86.82/37.44
(100/x)*x=(86.82/37.44)*x       - we multiply both sides of the equation by x
100=2.3189102564103*x       - we divide both sides of the equation by (2.3189102564103) to get x
100/2.3189102564103=x
43.123704215619=x
x=43.123704215619

now we have:
37.44 is 43.123704215619% of 86.82