63.06 is what percent of 79.5 - 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 79.5 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 79.5, so we can write it down as 100%=79.5.
4. We know, that x% equals 63.06 of the output value, so we can write it down as x%=63.06.
5. Now we have two simple equations:
1) 100%=79.5
2) x%=63.06
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%=79.5/63.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.06 is what percent of 79.5

100%/x%=79.5/63.06
(100/x)*x=(79.5/63.06)*x       - we multiply both sides of the equation by x
100=1.2607040913416*x       - we divide both sides of the equation by (1.2607040913416) to get x
100/1.2607040913416=x
79.320754716981=x
x=79.320754716981

now we have:
63.06 is 79.320754716981% of 79.5