2438.5 is what percent of 15107.5 - 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 15107.5 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 15107.5, so we can write it down as 100%=15107.5.
4. We know, that x% equals 2438.5 of the output value, so we can write it down as x%=2438.5.
5. Now we have two simple equations:
1) 100%=15107.5
2) x%=2438.5
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%=15107.5/2438.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2438.5 is what percent of 15107.5

100%/x%=15107.5/2438.5
(100/x)*x=(15107.5/2438.5)*x       - we multiply both sides of the equation by x
100=6.1954070125077*x       - we divide both sides of the equation by (6.1954070125077) to get x
100/6.1954070125077=x
16.140989574715=x
x=16.140989574715

now we have:
2438.5 is 16.140989574715% of 15107.5