What is 257.24 percent of 25 - 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 25 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 25 is 100%, so we can write it down as 25=100%.
4. We know, that x is 257.24% of the output value, so we can write it down as x=257.24%.
5. Now we have two simple equations:
1) 25=100%
2) x=257.24%
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:
25/x=100%/257.24%
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 257.24% of 25

25/x=100/257.24
(25/x)*x=(100/257.24)*x       - we multiply both sides of the equation by x
25=0.38874203078837*x       - we divide both sides of the equation by (0.38874203078837) to get x
25/0.38874203078837=x
64.31=x
x=64.31

now we have:
257.24% of 25=64.31