63.25 is what percent of 76.25 - 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 76.25 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 76.25, so we can write it down as 100%=76.25.
4. We know, that x% equals 63.25 of the output value, so we can write it down as x%=63.25.
5. Now we have two simple equations:
1) 100%=76.25
2) x%=63.25
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%=76.25/63.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.25 is what percent of 76.25

100%/x%=76.25/63.25
(100/x)*x=(76.25/63.25)*x       - we multiply both sides of the equation by x
100=1.2055335968379*x       - we divide both sides of the equation by (1.2055335968379) to get x
100/1.2055335968379=x
82.950819672131=x
x=82.950819672131

now we have:
63.25 is 82.950819672131% of 76.25