What is 2.5 percent of 102400 - 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 102400 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 102400 is 100%, so we can write it down as 102400=100%.
4. We know, that x is 2.5% of the output value, so we can write it down as x=2.5%.
5. Now we have two simple equations:
1) 102400=100%
2) x=2.5%
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:
102400/x=100%/2.5%
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 2.5% of 102400

102400/x=100/2.5
(102400/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x
102400=40*x       - we divide both sides of the equation by (40) to get x
102400/40=x
2560=x
x=2560

now we have:
2.5% of 102400=2560