382.5 is what percent of 495 - 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 495 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 495, so we can write it down as 100%=495.
4. We know, that x% equals 382.5 of the output value, so we can write it down as x%=382.5.
5. Now we have two simple equations:
1) 100%=495
2) x%=382.5
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%=495/382.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.5 is what percent of 495

100%/x%=495/382.5
(100/x)*x=(495/382.5)*x       - we multiply both sides of the equation by x
100=1.2941176470588*x       - we divide both sides of the equation by (1.2941176470588) to get x
100/1.2941176470588=x
77.272727272727=x
x=77.272727272727

now we have:
382.5 is 77.272727272727% of 495