What is 3.3 percent of 578.4 - 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 578.4 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 578.4 is 100%, so we can write it down as 578.4=100%.
4. We know, that x is 3.3% of the output value, so we can write it down as x=3.3%.
5. Now we have two simple equations:
1) 578.4=100%
2) x=3.3%
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:
578.4/x=100%/3.3%
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 3.3% of 578.4

578.4/x=100/3.3
(578.4/x)*x=(100/3.3)*x       - we multiply both sides of the equation by x
578.4=30.30303030303*x       - we divide both sides of the equation by (30.30303030303) to get x
578.4/30.30303030303=x
19.0872=x
x=19.0872

now we have:
3.3% of 578.4=19.0872