20.45 is what percent of 96.35 - 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 96.35 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 96.35, so we can write it down as 100%=96.35.
4. We know, that x% equals 20.45 of the output value, so we can write it down as x%=20.45.
5. Now we have two simple equations:
1) 100%=96.35
2) x%=20.45
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%=96.35/20.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.45 is what percent of 96.35

100%/x%=96.35/20.45
(100/x)*x=(96.35/20.45)*x       - we multiply both sides of the equation by x
100=4.7114914425428*x       - we divide both sides of the equation by (4.7114914425428) to get x
100/4.7114914425428=x
21.224701608718=x
x=21.224701608718

now we have:
20.45 is 21.224701608718% of 96.35