What is 30.96 percent of 55.442 - 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 55.442 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 55.442 is 100%, so we can write it down as 55.442=100%.
4. We know, that x is 30.96% of the output value, so we can write it down as x=30.96%.
5. Now we have two simple equations:
1) 55.442=100%
2) x=30.96%
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:
55.442/x=100%/30.96%
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 30.96% of 55.442

55.442/x=100/30.96
(55.442/x)*x=(100/30.96)*x       - we multiply both sides of the equation by x
55.442=3.2299741602067*x       - we divide both sides of the equation by (3.2299741602067) to get x
55.442/3.2299741602067=x
17.1648432=x
x=17.1648432

now we have:
30.96% of 55.442=17.1648432