20 is what percent of 36.93 - 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 36.93 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 36.93, so we can write it down as 100%=36.93.
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%=36.93
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%=36.93/20
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 36.93

100%/x%=36.93/20
(100/x)*x=(36.93/20)*x       - we multiply both sides of the equation by x
100=1.8465*x       - we divide both sides of the equation by (1.8465) to get x
100/1.8465=x
54.156512320607=x
x=54.156512320607

now we have:
20 is 54.156512320607% of 36.93