14.51 is what percent of 400.52 - 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 400.52 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 400.52, so we can write it down as 100%=400.52.
4. We know, that x% equals 14.51 of the output value, so we can write it down as x%=14.51.
5. Now we have two simple equations:
1) 100%=400.52
2) x%=14.51
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%=400.52/14.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.51 is what percent of 400.52

100%/x%=400.52/14.51
(100/x)*x=(400.52/14.51)*x       - we multiply both sides of the equation by x
100=27.603032391454*x       - we divide both sides of the equation by (27.603032391454) to get x
100/27.603032391454=x
3.6227903725157=x
x=3.6227903725157

now we have:
14.51 is 3.6227903725157% of 400.52