4875.52 is what percent of 6390 - 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 6390 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 6390, so we can write it down as 100%=6390.
4. We know, that x% equals 4875.52 of the output value, so we can write it down as x%=4875.52.
5. Now we have two simple equations:
1) 100%=6390
2) x%=4875.52
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%=6390/4875.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4875.52 is what percent of 6390

100%/x%=6390/4875.52
(100/x)*x=(6390/4875.52)*x       - we multiply both sides of the equation by x
100=1.3106294302967*x       - we divide both sides of the equation by (1.3106294302967) to get x
100/1.3106294302967=x
76.299217527387=x
x=76.299217527387

now we have:
4875.52 is 76.299217527387% of 6390