50.5 is what percent of 40.5 - 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 40.5 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 40.5, so we can write it down as 100%=40.5.
4. We know, that x% equals 50.5 of the output value, so we can write it down as x%=50.5.
5. Now we have two simple equations:
1) 100%=40.5
2) x%=50.5
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%=40.5/50.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.5 is what percent of 40.5

100%/x%=40.5/50.5
(100/x)*x=(40.5/50.5)*x       - we multiply both sides of the equation by x
100=0.80198019802*x       - we divide both sides of the equation by (0.80198019802) to get x
100/0.80198019802=x
124.691358025=x
x=124.691358025

now we have:
50.5 is 124.691358025% of 40.5