What is 29.74 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 29.74% of the output value, so we can write it down as x=29.74%.
5. Now we have two simple equations:
1) 55.442=100%
2) x=29.74%
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%/29.74%
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 29.74% of 55.442

55.442/x=100/29.74
(55.442/x)*x=(100/29.74)*x       - we multiply both sides of the equation by x
55.442=3.3624747814391*x       - we divide both sides of the equation by (3.3624747814391) to get x
55.442/3.3624747814391=x
16.4884508=x
x=16.4884508

now we have:
29.74% of 55.442=16.4884508