2546.96 is what percent of 10187.84 - 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 10187.84 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 10187.84, so we can write it down as 100%=10187.84.
4. We know, that x% equals 2546.96 of the output value, so we can write it down as x%=2546.96.
5. Now we have two simple equations:
1) 100%=10187.84
2) x%=2546.96
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%=10187.84/2546.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2546.96 is what percent of 10187.84

100%/x%=10187.84/2546.96
(100/x)*x=(10187.84/2546.96)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
2546.96 is 25% of 10187.84