34.59 is what percent of 300 - 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 300 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 300, so we can write it down as 100%=300.
4. We know, that x% equals 34.59 of the output value, so we can write it down as x%=34.59.
5. Now we have two simple equations:
1) 100%=300
2) x%=34.59
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%=300/34.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.59 is what percent of 300

100%/x%=300/34.59
(100/x)*x=(300/34.59)*x       - we multiply both sides of the equation by x
100=8.6730268863833*x       - we divide both sides of the equation by (8.6730268863833) to get x
100/8.6730268863833=x
11.53=x
x=11.53

now we have:
34.59 is 11.53% of 300