What is 28.58 percent of 257.98 - 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 257.98 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 257.98 is 100%, so we can write it down as 257.98=100%.
4. We know, that x is 28.58% of the output value, so we can write it down as x=28.58%.
5. Now we have two simple equations:
1) 257.98=100%
2) x=28.58%
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:
257.98/x=100%/28.58%
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 28.58% of 257.98

257.98/x=100/28.58
(257.98/x)*x=(100/28.58)*x       - we multiply both sides of the equation by x
257.98=3.4989503149055*x       - we divide both sides of the equation by (3.4989503149055) to get x
257.98/3.4989503149055=x
73.730684=x
x=73.730684

now we have:
28.58% of 257.98=73.730684