What is 48.3 percent of 80.4 - 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 80.4 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 80.4 is 100%, so we can write it down as 80.4=100%.
4. We know, that x is 48.3% of the output value, so we can write it down as x=48.3%.
5. Now we have two simple equations:
1) 80.4=100%
2) x=48.3%
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:
80.4/x=100%/48.3%
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 48.3% of 80.4

80.4/x=100/48.3
(80.4/x)*x=(100/48.3)*x       - we multiply both sides of the equation by x
80.4=2.0703933747412*x       - we divide both sides of the equation by (2.0703933747412) to get x
80.4/2.0703933747412=x
38.8332=x
x=38.8332

now we have:
48.3% of 80.4=38.8332