11.78 is what percent of 58.92 - 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 58.92 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 58.92, so we can write it down as 100%=58.92.
4. We know, that x% equals 11.78 of the output value, so we can write it down as x%=11.78.
5. Now we have two simple equations:
1) 100%=58.92
2) x%=11.78
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%=58.92/11.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.78 is what percent of 58.92

100%/x%=58.92/11.78
(100/x)*x=(58.92/11.78)*x       - we multiply both sides of the equation by x
100=5.0016977928693*x       - we divide both sides of the equation by (5.0016977928693) to get x
100/5.0016977928693=x
19.993211133741=x
x=19.993211133741

now we have:
11.78 is 19.993211133741% of 58.92