20.29 is what percent of 37.96 - 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 37.96 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 37.96, so we can write it down as 100%=37.96.
4. We know, that x% equals 20.29 of the output value, so we can write it down as x%=20.29.
5. Now we have two simple equations:
1) 100%=37.96
2) x%=20.29
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%=37.96/20.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.29 is what percent of 37.96

100%/x%=37.96/20.29
(100/x)*x=(37.96/20.29)*x       - we multiply both sides of the equation by x
100=1.8708723509118*x       - we divide both sides of the equation by (1.8708723509118) to get x
100/1.8708723509118=x
53.451001053741=x
x=53.451001053741

now we have:
20.29 is 53.451001053741% of 37.96