What is 61.66666666 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 50 is 100%, so we can write it down as 50=100%.
4. We know, that x is 61.66666666% of the output value, so we can write it down as x=61.66666666%.
5. Now we have two simple equations:
1) 50=100%
2) x=61.66666666%
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:
50/x=100%/61.66666666%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 61.66666666% of 50

50/x=100/61.66666666
(50/x)*x=(100/61.66666666)*x       - we multiply both sides of the equation by x
50=1.6216216217969*x       - we divide both sides of the equation by (1.6216216217969) to get x
50/1.6216216217969=x
30.83333333=x
x=30.83333333

now we have:
61.66666666% of 50=30.83333333