50 is what percent of 268.14 - 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 268.14 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 268.14, so we can write it down as 100%=268.14.
4. We know, that x% equals 50 of the output value, so we can write it down as x%=50.
5. Now we have two simple equations:
1) 100%=268.14
2) x%=50
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%=268.14/50
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50 is what percent of 268.14

100%/x%=268.14/50
(100/x)*x=(268.14/50)*x       - we multiply both sides of the equation by x
100=5.3628*x       - we divide both sides of the equation by (5.3628) to get x
100/5.3628=x
18.64697546058=x
x=18.64697546058

now we have:
50 is 18.64697546058% of 268.14