What is 23.809 percent of 105 - 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 105 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 105 is 100%, so we can write it down as 105=100%.
4. We know, that x is 23.809% of the output value, so we can write it down as x=23.809%.
5. Now we have two simple equations:
1) 105=100%
2) x=23.809%
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:
105/x=100%/23.809%
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 23.809% of 105

105/x=100/23.809
(105/x)*x=(100/23.809)*x       - we multiply both sides of the equation by x
105=4.2000924020328*x       - we divide both sides of the equation by (4.2000924020328) to get x
105/4.2000924020328=x
24.99945=x
x=24.99945

now we have:
23.809% of 105=24.99945