What is 6.13 percent of 5011.5 - 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 5011.5 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 5011.5 is 100%, so we can write it down as 5011.5=100%.
4. We know, that x is 6.13% of the output value, so we can write it down as x=6.13%.
5. Now we have two simple equations:
1) 5011.5=100%
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:
5011.5/x=100%/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 what is 6.13% of 5011.5

5011.5/x=100/6.13
(5011.5/x)*x=(100/6.13)*x       - we multiply both sides of the equation by x
5011.5=16.3132137031*x       - we divide both sides of the equation by (16.3132137031) to get x
5011.5/16.3132137031=x
307.20495=x
x=307.20495

now we have:
6.13% of 5011.5=307.20495