46.65 is what percent of 306 - 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 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, so we can write it down as 100%=306.
4. We know, that x% equals 46.65 of the output value, so we can write it down as x%=46.65.
5. Now we have two simple equations:
1) 100%=306
2) x%=46.65
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%=306/46.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.65 is what percent of 306

100%/x%=306/46.65
(100/x)*x=(306/46.65)*x       - we multiply both sides of the equation by x
100=6.5594855305466*x       - we divide both sides of the equation by (6.5594855305466) to get x
100/6.5594855305466=x
15.245098039216=x
x=15.245098039216

now we have:
46.65 is 15.245098039216% of 306