5.14 is what percent of 37.86 - 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 37.86 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 37.86, so we can write it down as 100%=37.86.
4. We know, that x% equals 5.14 of the output value, so we can write it down as x%=5.14.
5. Now we have two simple equations:
1) 100%=37.86
2) x%=5.14
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%=37.86/5.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.14 is what percent of 37.86

100%/x%=37.86/5.14
(100/x)*x=(37.86/5.14)*x       - we multiply both sides of the equation by x
100=7.3657587548638*x       - we divide both sides of the equation by (7.3657587548638) to get x
100/7.3657587548638=x
13.576333861595=x
x=13.576333861595

now we have:
5.14 is 13.576333861595% of 37.86