63.7 is what percent of 486 - 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 486 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 486, so we can write it down as 100%=486.
4. We know, that x% equals 63.7 of the output value, so we can write it down as x%=63.7.
5. Now we have two simple equations:
1) 100%=486
2) x%=63.7
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%=486/63.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.7 is what percent of 486

100%/x%=486/63.7
(100/x)*x=(486/63.7)*x       - we multiply both sides of the equation by x
100=7.6295133437991*x       - we divide both sides of the equation by (7.6295133437991) to get x
100/7.6295133437991=x
13.106995884774=x
x=13.106995884774

now we have:
63.7 is 13.106995884774% of 486