20.53 is what percent of 331.25 - 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 331.25 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 331.25, so we can write it down as 100%=331.25.
4. We know, that x% equals 20.53 of the output value, so we can write it down as x%=20.53.
5. Now we have two simple equations:
1) 100%=331.25
2) x%=20.53
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%=331.25/20.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.53 is what percent of 331.25

100%/x%=331.25/20.53
(100/x)*x=(331.25/20.53)*x       - we multiply both sides of the equation by x
100=16.134924500731*x       - we divide both sides of the equation by (16.134924500731) to get x
100/16.134924500731=x
6.1977358490566=x
x=6.1977358490566

now we have:
20.53 is 6.1977358490566% of 331.25