6337.5 is what percent of 325000 - 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 325000 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 325000, so we can write it down as 100%=325000.
4. We know, that x% equals 6337.5 of the output value, so we can write it down as x%=6337.5.
5. Now we have two simple equations:
1) 100%=325000
2) x%=6337.5
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%=325000/6337.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6337.5 is what percent of 325000

100%/x%=325000/6337.5
(100/x)*x=(325000/6337.5)*x       - we multiply both sides of the equation by x
100=51.282051282051*x       - we divide both sides of the equation by (51.282051282051) to get x
100/51.282051282051=x
1.95=x
x=1.95

now we have:
6337.5 is 1.95% of 325000