25 is what percent of 11400 - 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 11400 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 100% equals 11400, so we can write it down as 100%=11400.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=11400
2) x%=25
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:
100%/x%=11400/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 11400

100%/x%=11400/25
(100/x)*x=(11400/25)*x       - we multiply both sides of the equation by x
100=456*x       - we divide both sides of the equation by (456) to get x
100/456=x
0.21929824561404=x
x=0.21929824561404

now we have:
25 is 0.21929824561404% of 11400