5.57 is what percent of 20.1 - 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 20.1 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 20.1, so we can write it down as 100%=20.1.
4. We know, that x% equals 5.57 of the output value, so we can write it down as x%=5.57.
5. Now we have two simple equations:
1) 100%=20.1
2) x%=5.57
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%=20.1/5.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.57 is what percent of 20.1

100%/x%=20.1/5.57
(100/x)*x=(20.1/5.57)*x       - we multiply both sides of the equation by x
100=3.6086175942549*x       - we divide both sides of the equation by (3.6086175942549) to get x
100/3.6086175942549=x
27.71144278607=x
x=27.71144278607

now we have:
5.57 is 27.71144278607% of 20.1