6.38 is what percent of 12.751 - 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 12.751 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 12.751, so we can write it down as 100%=12.751.
4. We know, that x% equals 6.38 of the output value, so we can write it down as x%=6.38.
5. Now we have two simple equations:
1) 100%=12.751
2) x%=6.38
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%=12.751/6.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.38 is what percent of 12.751

100%/x%=12.751/6.38
(100/x)*x=(12.751/6.38)*x       - we multiply both sides of the equation by x
100=1.9985893416928*x       - we divide both sides of the equation by (1.9985893416928) to get x
100/1.9985893416928=x
50.035291349698=x
x=50.035291349698

now we have:
6.38 is 50.035291349698% of 12.751