63.9 is what percent of 462.9 - 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 462.9 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 462.9, so we can write it down as 100%=462.9.
4. We know, that x% equals 63.9 of the output value, so we can write it down as x%=63.9.
5. Now we have two simple equations:
1) 100%=462.9
2) x%=63.9
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%=462.9/63.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.9 is what percent of 462.9

100%/x%=462.9/63.9
(100/x)*x=(462.9/63.9)*x       - we multiply both sides of the equation by x
100=7.2441314553991*x       - we divide both sides of the equation by (7.2441314553991) to get x
100/7.2441314553991=x
13.804277381724=x
x=13.804277381724

now we have:
63.9 is 13.804277381724% of 462.9