63.1 is what percent of 81.5 - 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 81.5 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 81.5, so we can write it down as 100%=81.5.
4. We know, that x% equals 63.1 of the output value, so we can write it down as x%=63.1.
5. Now we have two simple equations:
1) 100%=81.5
2) x%=63.1
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%=81.5/63.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.1 is what percent of 81.5

100%/x%=81.5/63.1
(100/x)*x=(81.5/63.1)*x       - we multiply both sides of the equation by x
100=1.2916006339144*x       - we divide both sides of the equation by (1.2916006339144) to get x
100/1.2916006339144=x
77.423312883436=x
x=77.423312883436

now we have:
63.1 is 77.423312883436% of 81.5