What is 5.55 percent of 6.13 - 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 6.13 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 6.13 is 100%, so we can write it down as 6.13=100%.
4. We know, that x is 5.55% of the output value, so we can write it down as x=5.55%.
5. Now we have two simple equations:
1) 6.13=100%
2) x=5.55%
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:
6.13/x=100%/5.55%
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 5.55% of 6.13

6.13/x=100/5.55
(6.13/x)*x=(100/5.55)*x       - we multiply both sides of the equation by x
6.13=18.018018018018*x       - we divide both sides of the equation by (18.018018018018) to get x
6.13/18.018018018018=x
0.340215=x
x=0.340215

now we have:
5.55% of 6.13=0.340215