63 is what percent of 492 - 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 492 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 492, so we can write it down as 100%=492.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=492
2) x%=63
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%=492/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 492

100%/x%=492/63
(100/x)*x=(492/63)*x       - we multiply both sides of the equation by x
100=7.8095238095238*x       - we divide both sides of the equation by (7.8095238095238) to get x
100/7.8095238095238=x
12.80487804878=x
x=12.80487804878

now we have:
63 is 12.80487804878% of 492