54.72 is what percent of 458.4 - 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 458.4 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 458.4, so we can write it down as 100%=458.4.
4. We know, that x% equals 54.72 of the output value, so we can write it down as x%=54.72.
5. Now we have two simple equations:
1) 100%=458.4
2) x%=54.72
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%=458.4/54.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.72 is what percent of 458.4

100%/x%=458.4/54.72
(100/x)*x=(458.4/54.72)*x       - we multiply both sides of the equation by x
100=8.3771929824561*x       - we divide both sides of the equation by (8.3771929824561) to get x
100/8.3771929824561=x
11.937172774869=x
x=11.937172774869

now we have:
54.72 is 11.937172774869% of 458.4