25.47 is what percent of 363.8 - 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 363.8 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 363.8, so we can write it down as 100%=363.8.
4. We know, that x% equals 25.47 of the output value, so we can write it down as x%=25.47.
5. Now we have two simple equations:
1) 100%=363.8
2) x%=25.47
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%=363.8/25.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.47 is what percent of 363.8

100%/x%=363.8/25.47
(100/x)*x=(363.8/25.47)*x       - we multiply both sides of the equation by x
100=14.283470749902*x       - we divide both sides of the equation by (14.283470749902) to get x
100/14.283470749902=x
7.0010995052226=x
x=7.0010995052226

now we have:
25.47 is 7.0010995052226% of 363.8