50.87 is what percent of 254.33 - 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 254.33 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 254.33, so we can write it down as 100%=254.33.
4. We know, that x% equals 50.87 of the output value, so we can write it down as x%=50.87.
5. Now we have two simple equations:
1) 100%=254.33
2) x%=50.87
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%=254.33/50.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.87 is what percent of 254.33

100%/x%=254.33/50.87
(100/x)*x=(254.33/50.87)*x       - we multiply both sides of the equation by x
100=4.9996068409672*x       - we divide both sides of the equation by (4.9996068409672) to get x
100/4.9996068409672=x
20.0015727598=x
x=20.0015727598

now we have:
50.87 is 20.0015727598% of 254.33