329.55 is what percent of 498.5 - 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 498.5 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 498.5, so we can write it down as 100%=498.5.
4. We know, that x% equals 329.55 of the output value, so we can write it down as x%=329.55.
5. Now we have two simple equations:
1) 100%=498.5
2) x%=329.55
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%=498.5/329.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 329.55 is what percent of 498.5

100%/x%=498.5/329.55
(100/x)*x=(498.5/329.55)*x       - we multiply both sides of the equation by x
100=1.5126687907753*x       - we divide both sides of the equation by (1.5126687907753) to get x
100/1.5126687907753=x
66.108324974925=x
x=66.108324974925

now we have:
329.55 is 66.108324974925% of 498.5