63 is what percent of 76.2 - 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 76.2 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 76.2, so we can write it down as 100%=76.2.
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%=76.2
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%=76.2/63
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 76.2

100%/x%=76.2/63
(100/x)*x=(76.2/63)*x       - we multiply both sides of the equation by x
100=1.2095238095238*x       - we divide both sides of the equation by (1.2095238095238) to get x
100/1.2095238095238=x
82.677165354331=x
x=82.677165354331

now we have:
63 is 82.677165354331% of 76.2