What is 13.43 percent of 580.8 - 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 580.8 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 580.8 is 100%, so we can write it down as 580.8=100%.
4. We know, that x is 13.43% of the output value, so we can write it down as x=13.43%.
5. Now we have two simple equations:
1) 580.8=100%
2) x=13.43%
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:
580.8/x=100%/13.43%
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 13.43% of 580.8

580.8/x=100/13.43
(580.8/x)*x=(100/13.43)*x       - we multiply both sides of the equation by x
580.8=7.446016381236*x       - we divide both sides of the equation by (7.446016381236) to get x
580.8/7.446016381236=x
78.00144=x
x=78.00144

now we have:
13.43% of 580.8=78.00144