206.36 is what percent of 306.36 - 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 306.36 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 306.36, so we can write it down as 100%=306.36.
4. We know, that x% equals 206.36 of the output value, so we can write it down as x%=206.36.
5. Now we have two simple equations:
1) 100%=306.36
2) x%=206.36
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%=306.36/206.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 206.36 is what percent of 306.36

100%/x%=306.36/206.36
(100/x)*x=(306.36/206.36)*x       - we multiply both sides of the equation by x
100=1.4845900368288*x       - we divide both sides of the equation by (1.4845900368288) to get x
100/1.4845900368288=x
67.358663010837=x
x=67.358663010837

now we have:
206.36 is 67.358663010837% of 306.36