50.05 is what percent of 61.6 - 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 61.6 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 61.6, so we can write it down as 100%=61.6.
4. We know, that x% equals 50.05 of the output value, so we can write it down as x%=50.05.
5. Now we have two simple equations:
1) 100%=61.6
2) x%=50.05
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%=61.6/50.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.05 is what percent of 61.6

100%/x%=61.6/50.05
(100/x)*x=(61.6/50.05)*x       - we multiply both sides of the equation by x
100=1.2307692307692*x       - we divide both sides of the equation by (1.2307692307692) to get x
100/1.2307692307692=x
81.25=x
x=81.25

now we have:
50.05 is 81.25% of 61.6