205.75 is what percent of 318.75 - 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 318.75 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 318.75, so we can write it down as 100%=318.75.
4. We know, that x% equals 205.75 of the output value, so we can write it down as x%=205.75.
5. Now we have two simple equations:
1) 100%=318.75
2) x%=205.75
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%=318.75/205.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.75 is what percent of 318.75

100%/x%=318.75/205.75
(100/x)*x=(318.75/205.75)*x       - we multiply both sides of the equation by x
100=1.5492102065614*x       - we divide both sides of the equation by (1.5492102065614) to get x
100/1.5492102065614=x
64.549019607843=x
x=64.549019607843

now we have:
205.75 is 64.549019607843% of 318.75