18.01 is what percent of 58 - 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 58 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 58, so we can write it down as 100%=58.
4. We know, that x% equals 18.01 of the output value, so we can write it down as x%=18.01.
5. Now we have two simple equations:
1) 100%=58
2) x%=18.01
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%=58/18.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.01 is what percent of 58

100%/x%=58/18.01
(100/x)*x=(58/18.01)*x       - we multiply both sides of the equation by x
100=3.2204330927263*x       - we divide both sides of the equation by (3.2204330927263) to get x
100/3.2204330927263=x
31.051724137931=x
x=31.051724137931

now we have:
18.01 is 31.051724137931% of 58