324.5 is what percent of 209.5 - 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 209.5 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 209.5, so we can write it down as 100%=209.5.
4. We know, that x% equals 324.5 of the output value, so we can write it down as x%=324.5.
5. Now we have two simple equations:
1) 100%=209.5
2) x%=324.5
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%=209.5/324.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 324.5 is what percent of 209.5

100%/x%=209.5/324.5
(100/x)*x=(209.5/324.5)*x       - we multiply both sides of the equation by x
100=0.64560862865948*x       - we divide both sides of the equation by (0.64560862865948) to get x
100/0.64560862865948=x
154.89260143198=x
x=154.89260143198

now we have:
324.5 is 154.89260143198% of 209.5