20 is what percent of 58.95 - 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 58.95 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 58.95, so we can write it down as 100%=58.95.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=58.95
2) x%=20
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%=58.95/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 58.95

100%/x%=58.95/20
(100/x)*x=(58.95/20)*x       - we multiply both sides of the equation by x
100=2.9475*x       - we divide both sides of the equation by (2.9475) to get x
100/2.9475=x
33.92705682782=x
x=33.92705682782

now we have:
20 is 33.92705682782% of 58.95