50.88 is what percent of 81.53 - 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 81.53 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 81.53, so we can write it down as 100%=81.53.
4. We know, that x% equals 50.88 of the output value, so we can write it down as x%=50.88.
5. Now we have two simple equations:
1) 100%=81.53
2) x%=50.88
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%=81.53/50.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.88 is what percent of 81.53

100%/x%=81.53/50.88
(100/x)*x=(81.53/50.88)*x       - we multiply both sides of the equation by x
100=1.6023977987421*x       - we divide both sides of the equation by (1.6023977987421) to get x
100/1.6023977987421=x
62.406476143751=x
x=62.406476143751

now we have:
50.88 is 62.406476143751% of 81.53