3312.5 is what percent of 4875 - 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 4875 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 4875, so we can write it down as 100%=4875.
4. We know, that x% equals 3312.5 of the output value, so we can write it down as x%=3312.5.
5. Now we have two simple equations:
1) 100%=4875
2) x%=3312.5
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%=4875/3312.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3312.5 is what percent of 4875

100%/x%=4875/3312.5
(100/x)*x=(4875/3312.5)*x       - we multiply both sides of the equation by x
100=1.4716981132075*x       - we divide both sides of the equation by (1.4716981132075) to get x
100/1.4716981132075=x
67.948717948718=x
x=67.948717948718

now we have:
3312.5 is 67.948717948718% of 4875