32.66 is what percent of 328.3 - 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 328.3 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 328.3, so we can write it down as 100%=328.3.
4. We know, that x% equals 32.66 of the output value, so we can write it down as x%=32.66.
5. Now we have two simple equations:
1) 100%=328.3
2) x%=32.66
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%=328.3/32.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.66 is what percent of 328.3

100%/x%=328.3/32.66
(100/x)*x=(328.3/32.66)*x       - we multiply both sides of the equation by x
100=10.052051439069*x       - we divide both sides of the equation by (10.052051439069) to get x
100/10.052051439069=x
9.9482180932074=x
x=9.9482180932074

now we have:
32.66 is 9.9482180932074% of 328.3