What is 2.5 percent of 230400 - 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 230400 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 230400 is 100%, so we can write it down as 230400=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) 230400=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:
230400/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 230400

230400/x=100/2.5
(230400/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x
230400=40*x       - we divide both sides of the equation by (40) to get x
230400/40=x
5760=x
x=5760

now we have:
2.5% of 230400=5760