3037.5 is what percent of 13500 - 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 13500 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 13500, so we can write it down as 100%=13500.
4. We know, that x% equals 3037.5 of the output value, so we can write it down as x%=3037.5.
5. Now we have two simple equations:
1) 100%=13500
2) x%=3037.5
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%=13500/3037.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3037.5 is what percent of 13500

100%/x%=13500/3037.5
(100/x)*x=(13500/3037.5)*x       - we multiply both sides of the equation by x
100=4.4444444444444*x       - we divide both sides of the equation by (4.4444444444444) to get x
100/4.4444444444444=x
22.5=x
x=22.5

now we have:
3037.5 is 22.5% of 13500