204.58 is what percent of 306.34 - 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 306.34 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 306.34, so we can write it down as 100%=306.34.
4. We know, that x% equals 204.58 of the output value, so we can write it down as x%=204.58.
5. Now we have two simple equations:
1) 100%=306.34
2) x%=204.58
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%=306.34/204.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.58 is what percent of 306.34

100%/x%=306.34/204.58
(100/x)*x=(306.34/204.58)*x       - we multiply both sides of the equation by x
100=1.4974093264249*x       - we divide both sides of the equation by (1.4974093264249) to get x
100/1.4974093264249=x
66.782006920415=x
x=66.782006920415

now we have:
204.58 is 66.782006920415% of 306.34