382.77 is what percent of 325.35 - 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 325.35 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 325.35, so we can write it down as 100%=325.35.
4. We know, that x% equals 382.77 of the output value, so we can write it down as x%=382.77.
5. Now we have two simple equations:
1) 100%=325.35
2) x%=382.77
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%=325.35/382.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.77 is what percent of 325.35

100%/x%=325.35/382.77
(100/x)*x=(325.35/382.77)*x       - we multiply both sides of the equation by x
100=0.84998824359276*x       - we divide both sides of the equation by (0.84998824359276) to get x
100/0.84998824359276=x
117.64868603043=x
x=117.64868603043

now we have:
382.77 is 117.64868603043% of 325.35