59.18 is what percent of 20.73 - 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 20.73 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 20.73, so we can write it down as 100%=20.73.
4. We know, that x% equals 59.18 of the output value, so we can write it down as x%=59.18.
5. Now we have two simple equations:
1) 100%=20.73
2) x%=59.18
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%=20.73/59.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.18 is what percent of 20.73

100%/x%=20.73/59.18
(100/x)*x=(20.73/59.18)*x       - we multiply both sides of the equation by x
100=0.35028725920919*x       - we divide both sides of the equation by (0.35028725920919) to get x
100/0.35028725920919=x
285.47998070429=x
x=285.47998070429

now we have:
59.18 is 285.47998070429% of 20.73