What is 13.8 percent of 46800 - 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 46800 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 46800 is 100%, so we can write it down as 46800=100%.
4. We know, that x is 13.8% of the output value, so we can write it down as x=13.8%.
5. Now we have two simple equations:
1) 46800=100%
2) x=13.8%
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:
46800/x=100%/13.8%
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 13.8% of 46800

46800/x=100/13.8
(46800/x)*x=(100/13.8)*x       - we multiply both sides of the equation by x
46800=7.2463768115942*x       - we divide both sides of the equation by (7.2463768115942) to get x
46800/7.2463768115942=x
6458.4=x
x=6458.4

now we have:
13.8% of 46800=6458.4