What is 8.875 percent of 46.2 - 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 46.2 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 46.2 is 100%, so we can write it down as 46.2=100%.
4. We know, that x is 8.875% of the output value, so we can write it down as x=8.875%.
5. Now we have two simple equations:
1) 46.2=100%
2) x=8.875%
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:
46.2/x=100%/8.875%
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 8.875% of 46.2

46.2/x=100/8.875
(46.2/x)*x=(100/8.875)*x       - we multiply both sides of the equation by x
46.2=11.267605633803*x       - we divide both sides of the equation by (11.267605633803) to get x
46.2/11.267605633803=x
4.10025=x
x=4.10025

now we have:
8.875% of 46.2=4.10025