What is 27.759 percent of 34.84 - 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 34.84 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 34.84 is 100%, so we can write it down as 34.84=100%.
4. We know, that x is 27.759% of the output value, so we can write it down as x=27.759%.
5. Now we have two simple equations:
1) 34.84=100%
2) x=27.759%
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:
34.84/x=100%/27.759%
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 27.759% of 34.84

34.84/x=100/27.759
(34.84/x)*x=(100/27.759)*x       - we multiply both sides of the equation by x
34.84=3.6024352462264*x       - we divide both sides of the equation by (3.6024352462264) to get x
34.84/3.6024352462264=x
9.6712356=x
x=9.6712356

now we have:
27.759% of 34.84=9.6712356