109.3 is what percent of 325 - 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 325 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 325, so we can write it down as 100%=325.
4. We know, that x% equals 109.3 of the output value, so we can write it down as x%=109.3.
5. Now we have two simple equations:
1) 100%=325
2) x%=109.3
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%=325/109.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.3 is what percent of 325

100%/x%=325/109.3
(100/x)*x=(325/109.3)*x       - we multiply both sides of the equation by x
100=2.9734675205855*x       - we divide both sides of the equation by (2.9734675205855) to get x
100/2.9734675205855=x
33.630769230769=x
x=33.630769230769

now we have:
109.3 is 33.630769230769% of 325