What is 26.44 percent of 34.78 - 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 34.78 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 34.78 is 100%, so we can write it down as 34.78=100%.
4. We know, that x is 26.44% of the output value, so we can write it down as x=26.44%.
5. Now we have two simple equations:
1) 34.78=100%
2) x=26.44%
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:
34.78/x=100%/26.44%
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 26.44% of 34.78

34.78/x=100/26.44
(34.78/x)*x=(100/26.44)*x       - we multiply both sides of the equation by x
34.78=3.7821482602118*x       - we divide both sides of the equation by (3.7821482602118) to get x
34.78/3.7821482602118=x
9.195832=x
x=9.195832

now we have:
26.44% of 34.78=9.195832