14.4 is what percent of 358.9 - 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 358.9 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 358.9, so we can write it down as 100%=358.9.
4. We know, that x% equals 14.4 of the output value, so we can write it down as x%=14.4.
5. Now we have two simple equations:
1) 100%=358.9
2) x%=14.4
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%=358.9/14.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.4 is what percent of 358.9

100%/x%=358.9/14.4
(100/x)*x=(358.9/14.4)*x       - we multiply both sides of the equation by x
100=24.923611111111*x       - we divide both sides of the equation by (24.923611111111) to get x
100/24.923611111111=x
4.0122596823628=x
x=4.0122596823628

now we have:
14.4 is 4.0122596823628% of 358.9