What is 110.526315789 percent of 24 - 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 24 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 24 is 100%, so we can write it down as 24=100%.
4. We know, that x is 110.526315789% of the output value, so we can write it down as x=110.526315789%.
5. Now we have two simple equations:
1) 24=100%
2) x=110.526315789%
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:
24/x=100%/110.526315789%
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 110.526315789% of 24

24/x=100/110.526315789
(24/x)*x=(100/110.526315789)*x       - we multiply both sides of the equation by x
24=0.90476190476578*x       - we divide both sides of the equation by (0.90476190476578) to get x
24/0.90476190476578=x
26.52631578936=x
x=26.52631578936

now we have:
110.526315789% of 24=26.52631578936