What is 3.3 percent of 466.98 - 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 466.98 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 466.98 is 100%, so we can write it down as 466.98=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) 466.98=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:
466.98/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 466.98

466.98/x=100/3.3
(466.98/x)*x=(100/3.3)*x       - we multiply both sides of the equation by x
466.98=30.30303030303*x       - we divide both sides of the equation by (30.30303030303) to get x
466.98/30.30303030303=x
15.41034=x
x=15.41034

now we have:
3.3% of 466.98=15.41034