What is 4.6875 percent of 80 - 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 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 is 100%, so we can write it down as 80=100%.
4. We know, that x is 4.6875% of the output value, so we can write it down as x=4.6875%.
5. Now we have two simple equations:
1) 80=100%
2) x=4.6875%
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/x=100%/4.6875%
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 4.6875% of 80

80/x=100/4.6875
(80/x)*x=(100/4.6875)*x       - we multiply both sides of the equation by x
80=21.333333333333*x       - we divide both sides of the equation by (21.333333333333) to get x
80/21.333333333333=x
3.75=x
x=3.75

now we have:
4.6875% of 80=3.75