25 is what percent of 78.4 - 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 78.4 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 78.4, so we can write it down as 100%=78.4.
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%=78.4
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%=78.4/25
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 78.4

100%/x%=78.4/25
(100/x)*x=(78.4/25)*x       - we multiply both sides of the equation by x
100=3.136*x       - we divide both sides of the equation by (3.136) to get x
100/3.136=x
31.887755102041=x
x=31.887755102041

now we have:
25 is 31.887755102041% of 78.4