4732.4 is what percent of 37500 - 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 37500 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 37500, so we can write it down as 100%=37500.
4. We know, that x% equals 4732.4 of the output value, so we can write it down as x%=4732.4.
5. Now we have two simple equations:
1) 100%=37500
2) x%=4732.4
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%=37500/4732.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4732.4 is what percent of 37500

100%/x%=37500/4732.4
(100/x)*x=(37500/4732.4)*x       - we multiply both sides of the equation by x
100=7.9240977094075*x       - we divide both sides of the equation by (7.9240977094075) to get x
100/7.9240977094075=x
12.619733333333=x
x=12.619733333333

now we have:
4732.4 is 12.619733333333% of 37500