12968.96 is what percent of 51200 - 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 51200 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 51200, so we can write it down as 100%=51200.
4. We know, that x% equals 12968.96 of the output value, so we can write it down as x%=12968.96.
5. Now we have two simple equations:
1) 100%=51200
2) x%=12968.96
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%=51200/12968.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12968.96 is what percent of 51200

100%/x%=51200/12968.96
(100/x)*x=(51200/12968.96)*x       - we multiply both sides of the equation by x
100=3.9478878799842*x       - we divide both sides of the equation by (3.9478878799842) to get x
100/3.9478878799842=x
25.33=x
x=25.33

now we have:
12968.96 is 25.33% of 51200