63 is what percent of 493 - 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 493 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 493, so we can write it down as 100%=493.
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%=493
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%=493/63
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 493

100%/x%=493/63
(100/x)*x=(493/63)*x       - we multiply both sides of the equation by x
100=7.8253968253968*x       - we divide both sides of the equation by (7.8253968253968) to get x
100/7.8253968253968=x
12.778904665314=x
x=12.778904665314

now we have:
63 is 12.778904665314% of 493