What is 20.4 percent of 55.4 - 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 55.4 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 55.4 is 100%, so we can write it down as 55.4=100%.
4. We know, that x is 20.4% of the output value, so we can write it down as x=20.4%.
5. Now we have two simple equations:
1) 55.4=100%
2) x=20.4%
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:
55.4/x=100%/20.4%
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 20.4% of 55.4

55.4/x=100/20.4
(55.4/x)*x=(100/20.4)*x       - we multiply both sides of the equation by x
55.4=4.9019607843137*x       - we divide both sides of the equation by (4.9019607843137) to get x
55.4/4.9019607843137=x
11.3016=x
x=11.3016

now we have:
20.4% of 55.4=11.3016