468.81 is what percent of 2425.43 - 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 2425.43 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 2425.43, so we can write it down as 100%=2425.43.
4. We know, that x% equals 468.81 of the output value, so we can write it down as x%=468.81.
5. Now we have two simple equations:
1) 100%=2425.43
2) x%=468.81
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%=2425.43/468.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.81 is what percent of 2425.43

100%/x%=2425.43/468.81
(100/x)*x=(2425.43/468.81)*x       - we multiply both sides of the equation by x
100=5.1735884473454*x       - we divide both sides of the equation by (5.1735884473454) to get x
100/5.1735884473454=x
19.328943733688=x
x=19.328943733688

now we have:
468.81 is 19.328943733688% of 2425.43