What is 3.13 percent of 52.6 - 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 52.6 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 52.6 is 100%, so we can write it down as 52.6=100%.
4. We know, that x is 3.13% of the output value, so we can write it down as x=3.13%.
5. Now we have two simple equations:
1) 52.6=100%
2) x=3.13%
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:
52.6/x=100%/3.13%
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 3.13% of 52.6

52.6/x=100/3.13
(52.6/x)*x=(100/3.13)*x       - we multiply both sides of the equation by x
52.6=31.948881789137*x       - we divide both sides of the equation by (31.948881789137) to get x
52.6/31.948881789137=x
1.64638=x
x=1.64638

now we have:
3.13% of 52.6=1.64638