What is 109.76 percent of 21.3 - 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 21.3 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 21.3 is 100%, so we can write it down as 21.3=100%.
4. We know, that x is 109.76% of the output value, so we can write it down as x=109.76%.
5. Now we have two simple equations:
1) 21.3=100%
2) x=109.76%
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:
21.3/x=100%/109.76%
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 109.76% of 21.3

21.3/x=100/109.76
(21.3/x)*x=(100/109.76)*x       - we multiply both sides of the equation by x
21.3=0.91107871720117*x       - we divide both sides of the equation by (0.91107871720117) to get x
21.3/0.91107871720117=x
23.37888=x
x=23.37888

now we have:
109.76% of 21.3=23.37888