4745.83 is what percent of 6437 - 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 6437 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 6437, so we can write it down as 100%=6437.
4. We know, that x% equals 4745.83 of the output value, so we can write it down as x%=4745.83.
5. Now we have two simple equations:
1) 100%=6437
2) x%=4745.83
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%=6437/4745.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4745.83 is what percent of 6437

100%/x%=6437/4745.83
(100/x)*x=(6437/4745.83)*x       - we multiply both sides of the equation by x
100=1.356348626057*x       - we divide both sides of the equation by (1.356348626057) to get x
100/1.356348626057=x
73.727357464657=x
x=73.727357464657

now we have:
4745.83 is 73.727357464657% of 6437