What is 24.5 percent of 1057.5 - 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 1057.5 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 1057.5 is 100%, so we can write it down as 1057.5=100%.
4. We know, that x is 24.5% of the output value, so we can write it down as x=24.5%.
5. Now we have two simple equations:
1) 1057.5=100%
2) x=24.5%
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:
1057.5/x=100%/24.5%
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 24.5% of 1057.5

1057.5/x=100/24.5
(1057.5/x)*x=(100/24.5)*x       - we multiply both sides of the equation by x
1057.5=4.0816326530612*x       - we divide both sides of the equation by (4.0816326530612) to get x
1057.5/4.0816326530612=x
259.0875=x
x=259.0875

now we have:
24.5% of 1057.5=259.0875