What is 5.3948397185301 percent of 13.48 - 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 13.48 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 13.48 is 100%, so we can write it down as 13.48=100%.
4. We know, that x is 5.3948397185301% of the output value, so we can write it down as x=5.3948397185301%.
5. Now we have two simple equations:
1) 13.48=100%
2) x=5.3948397185301%
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:
13.48/x=100%/5.3948397185301%
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 5.3948397185301% of 13.48

13.48/x=100/5.3948397185301
(13.48/x)*x=(100/5.3948397185301)*x       - we multiply both sides of the equation by x
13.48=18.536231884058*x       - we divide both sides of the equation by (18.536231884058) to get x
13.48/18.536231884058=x
0.72722439405786=x
x=0.72722439405786

now we have:
5.3948397185301% of 13.48=0.72722439405786