What is 19 percent of 257.5 - 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 257.5 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 257.5 is 100%, so we can write it down as 257.5=100%.
4. We know, that x is 19% of the output value, so we can write it down as x=19%.
5. Now we have two simple equations:
1) 257.5=100%
2) x=19%
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:
257.5/x=100%/19%
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 19% of 257.5

257.5/x=100/19
(257.5/x)*x=(100/19)*x       - we multiply both sides of the equation by x
257.5=5.2631578947368*x       - we divide both sides of the equation by (5.2631578947368) to get x
257.5/5.2631578947368=x
48.925=x
x=48.925

now we have:
19% of 257.5=48.925