What is 8.82 percent of 49 - 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 49 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 49 is 100%, so we can write it down as 49=100%.
4. We know, that x is 8.82% of the output value, so we can write it down as x=8.82%.
5. Now we have two simple equations:
1) 49=100%
2) x=8.82%
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:
49/x=100%/8.82%
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 8.82% of 49

49/x=100/8.82
(49/x)*x=(100/8.82)*x       - we multiply both sides of the equation by x
49=11.337868480726*x       - we divide both sides of the equation by (11.337868480726) to get x
49/11.337868480726=x
4.3218=x
x=4.3218

now we have:
8.82% of 49=4.3218