What is 8.875 percent of 33.4 - 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 33.4 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 33.4 is 100%, so we can write it down as 33.4=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) 33.4=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:
33.4/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 33.4

33.4/x=100/8.875
(33.4/x)*x=(100/8.875)*x       - we multiply both sides of the equation by x
33.4=11.267605633803*x       - we divide both sides of the equation by (11.267605633803) to get x
33.4/11.267605633803=x
2.96425=x
x=2.96425

now we have:
8.875% of 33.4=2.96425