25 is what percent of 46.55 - 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 46.55 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 46.55, so we can write it down as 100%=46.55.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=46.55
2) x%=25
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%=46.55/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 46.55

100%/x%=46.55/25
(100/x)*x=(46.55/25)*x       - we multiply both sides of the equation by x
100=1.862*x       - we divide both sides of the equation by (1.862) to get x
100/1.862=x
53.705692803437=x
x=53.705692803437

now we have:
25 is 53.705692803437% of 46.55