205.66 is what percent of 258.18 - 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 258.18 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 258.18, so we can write it down as 100%=258.18.
4. We know, that x% equals 205.66 of the output value, so we can write it down as x%=205.66.
5. Now we have two simple equations:
1) 100%=258.18
2) x%=205.66
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%=258.18/205.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.66 is what percent of 258.18

100%/x%=258.18/205.66
(100/x)*x=(258.18/205.66)*x       - we multiply both sides of the equation by x
100=1.2553729456384*x       - we divide both sides of the equation by (1.2553729456384) to get x
100/1.2553729456384=x
79.657603222558=x
x=79.657603222558

now we have:
205.66 is 79.657603222558% of 258.18