18.73 is what percent of 91.52 - 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 91.52 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 91.52, so we can write it down as 100%=91.52.
4. We know, that x% equals 18.73 of the output value, so we can write it down as x%=18.73.
5. Now we have two simple equations:
1) 100%=91.52
2) x%=18.73
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%=91.52/18.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.73 is what percent of 91.52

100%/x%=91.52/18.73
(100/x)*x=(91.52/18.73)*x       - we multiply both sides of the equation by x
100=4.8862786972771*x       - we divide both sides of the equation by (4.8862786972771) to get x
100/4.8862786972771=x
20.465472027972=x
x=20.465472027972

now we have:
18.73 is 20.465472027972% of 91.52