18.13 is what percent of 20 - 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 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, so we can write it down as 100%=20.
4. We know, that x% equals 18.13 of the output value, so we can write it down as x%=18.13.
5. Now we have two simple equations:
1) 100%=20
2) x%=18.13
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%=20/18.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.13 is what percent of 20

100%/x%=20/18.13
(100/x)*x=(20/18.13)*x       - we multiply both sides of the equation by x
100=1.1031439602868*x       - we divide both sides of the equation by (1.1031439602868) to get x
100/1.1031439602868=x
90.65=x
x=90.65

now we have:
18.13 is 90.65% of 20