81.81 is what percent of 50 - 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 50 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 50, so we can write it down as 100%=50.
4. We know, that x% equals 81.81 of the output value, so we can write it down as x%=81.81.
5. Now we have two simple equations:
1) 100%=50
2) x%=81.81
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%=50/81.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.81 is what percent of 50

100%/x%=50/81.81
(100/x)*x=(50/81.81)*x       - we multiply both sides of the equation by x
100=0.61117222833394*x       - we divide both sides of the equation by (0.61117222833394) to get x
100/0.61117222833394=x
163.62=x
x=163.62

now we have:
81.81 is 163.62% of 50