51 is what percent of 12.648 - 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 12.648 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 12.648, so we can write it down as 100%=12.648.
4. We know, that x% equals 51 of the output value, so we can write it down as x%=51.
5. Now we have two simple equations:
1) 100%=12.648
2) x%=51
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%=12.648/51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51 is what percent of 12.648

100%/x%=12.648/51
(100/x)*x=(12.648/51)*x       - we multiply both sides of the equation by x
100=0.248*x       - we divide both sides of the equation by (0.248) to get x
100/0.248=x
403.22580645161=x
x=403.22580645161

now we have:
51 is 403.22580645161% of 12.648