0.25 is what percent of 38.72 - 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 38.72 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 38.72, so we can write it down as 100%=38.72.
4. We know, that x% equals 0.25 of the output value, so we can write it down as x%=0.25.
5. Now we have two simple equations:
1) 100%=38.72
2) x%=0.25
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%=38.72/0.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.25 is what percent of 38.72

100%/x%=38.72/0.25
(100/x)*x=(38.72/0.25)*x       - we multiply both sides of the equation by x
100=154.88*x       - we divide both sides of the equation by (154.88) to get x
100/154.88=x
0.64566115702479=x
x=0.64566115702479

now we have:
0.25 is 0.64566115702479% of 38.72