205.46 is what percent of 358.82 - 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 358.82 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 358.82, so we can write it down as 100%=358.82.
4. We know, that x% equals 205.46 of the output value, so we can write it down as x%=205.46.
5. Now we have two simple equations:
1) 100%=358.82
2) x%=205.46
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%=358.82/205.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.46 is what percent of 358.82

100%/x%=358.82/205.46
(100/x)*x=(358.82/205.46)*x       - we multiply both sides of the equation by x
100=1.7464226613453*x       - we divide both sides of the equation by (1.7464226613453) to get x
100/1.7464226613453=x
57.2599074745=x
x=57.2599074745

now we have:
205.46 is 57.2599074745% of 358.82