What is 257.25 percent of 15 - 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 15 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 15 is 100%, so we can write it down as 15=100%.
4. We know, that x is 257.25% of the output value, so we can write it down as x=257.25%.
5. Now we have two simple equations:
1) 15=100%
2) x=257.25%
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:
15/x=100%/257.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 257.25% of 15

15/x=100/257.25
(15/x)*x=(100/257.25)*x       - we multiply both sides of the equation by x
15=0.38872691933916*x       - we divide both sides of the equation by (0.38872691933916) to get x
15/0.38872691933916=x
38.5875=x
x=38.5875

now we have:
257.25% of 15=38.5875