323.89 is what percent of 1182.6 - 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 1182.6 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 1182.6, so we can write it down as 100%=1182.6.
4. We know, that x% equals 323.89 of the output value, so we can write it down as x%=323.89.
5. Now we have two simple equations:
1) 100%=1182.6
2) x%=323.89
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%=1182.6/323.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 323.89 is what percent of 1182.6

100%/x%=1182.6/323.89
(100/x)*x=(1182.6/323.89)*x       - we multiply both sides of the equation by x
100=3.651239618389*x       - we divide both sides of the equation by (3.651239618389) to get x
100/3.651239618389=x
27.387958734991=x
x=27.387958734991

now we have:
323.89 is 27.387958734991% of 1182.6