6.13 is what percent of 40.12 - 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 40.12 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 40.12, so we can write it down as 100%=40.12.
4. We know, that x% equals 6.13 of the output value, so we can write it down as x%=6.13.
5. Now we have two simple equations:
1) 100%=40.12
2) x%=6.13
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%=40.12/6.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.13 is what percent of 40.12

100%/x%=40.12/6.13
(100/x)*x=(40.12/6.13)*x       - we multiply both sides of the equation by x
100=6.5448613376835*x       - we divide both sides of the equation by (6.5448613376835) to get x
100/6.5448613376835=x
15.279162512463=x
x=15.279162512463

now we have:
6.13 is 15.279162512463% of 40.12